5W: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

For discussion of other cellular automata.
M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

5W: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 21st, 2025, 11:45 pm

This rule is called 5W for short. The name and nickname are both due to rabbit, and they reference the fact that this was the second or third rule of its type that I shared. This thread will start with two posts from me, this first one being a recap I'll try to continually edit to keep up to date.

Primer
This rule is characterized by two features: first, impermeable diagonal lines, and second, a common failed-replicator spark that I'll call the Wham (W).

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x = 141, y = 75, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
126.B$125.3B$124.5B$123.7B$122.9B2.B$121.14B$111.2A7.16B$110.A2.A5.
18B$109.A2.A4.B2.18B$109.A.A4.23B$110.A4.5B.19B$109.A5.26B$108.A5.7B.
18B$107.A4.27B$106.A2.29B$105.A2.29B$104.A2.29B$9.D3.D.D87.A2.29B$9.D
3.D.D4.D3.D.D75.A3.30B$9.D.D.D.2D2.D.D.D.D.D73.A2.31B$9.D.D.D.D.D.3D.
D.D.D72.A2.33B$10.D.D2.D.D.D.D.D3.D71.A2.33B$98.A2.33B$97.A2.34B$18.
3B2.2B71.A2.35B$17.9B69.A2.37B$17.9B68.A2.39B$17.9B67.A2.23B2.16B$16.
10B.3B62.A2.26B.15B$15.16B60.A2.28B.14B$15.17B58.A2.45B$14.19B56.A2.
47B$13.21B54.A2.49B$13.21B53.A2.10B3C36B$12.22B52.A2.10BC2BC35B$11.
22B52.A2.11BC2BC34B$10.27B47.A2.12B3C34B$8.30B45.A2.49B$7.31B44.A2.
49B$5.32B44.A3.48B$4.33B43.A2.29B2.7B3.2B2.B$.16B3C18B41.A2.30B3.5B$
17BC2BC17B40.A2.31B5.2B$17BC2BC17B39.A2.30B$18B3C16B39.A3.29B$.33B41.
A4.29B$.32B41.A4.27B$31B42.A5.27B$30B42.A5.29B$.27B43.A4.32B$5.22B40.
2A.A4.33B$4.22B40.A2.A4.35B$4.21B40.A2.A6.34B$4.21B40.A.A5.B.18B.14B$
5.19B42.A5.4B.16B.13B$6.17B48.7B.15B.11B$7.16B47.25B.10B$8.3B.10B47.
37B$12.9B47.39B$12.9B46.40B$12.9B45.40B$13.2B2.3B47.39B$68.39B$69.37B
$70.36B$71.35B$71.35B$70.35B$71.17B3.13B$72.11B.B.B5.11B$73.9B11.9B$
74.7B15.5B$75.5B17.3B$76.3B19.B$77.B!
Impenetrable diagonals means you get rock catalysts for free, but there are also a lot of interesting non-rock catalyses (plus rock catalyses that don't strictly involve diagonal walls) deserving of further exploration.

Signals
The W turns out to be a surprisingly prolific movement engine. Debris from soups and catalyses often helps it get out of its own way and either keep replicating or turn into a manipulable active region, which can be harnessed to great effect for conduits and circuitry. The W is also the engine of a common natural p86 oscillator, the triple whammy (TW):

Code: Select all

x = 38, y = 29, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
9b3o$9bo2bo$9bo2bo16bo$10b3o14b4o$28bob2o$29b3o$30bobo$7bo20b2o3bo$27b
o6b2o$3o15b3o7bo4b4o$o2bo14bo2bo7bo2bobob2o$o2bo14bo2bo8bobo2b2o$b3o
15b3o9bo4bo7$18bo$17bobo$20bo$21bo$19b2o$18bo$19bo$20bo$19b3o$19bo!
The W and TW additionally form the engines of many Corderoid ships and puffers.

There are a lot of spaceship speeds available, especially at c/2 and c/3, but none nearly as common in soups as the Wham engine's 18c/86. For example, even though the rule supports a small c/3 ship, it's only appeared 9,069 times out of 43,401,226 objects in the C1 census (meaning it makes up ~0.02% of objects compared to, for instance, GoL's glider accounting for almost 9% of objects). For that reason other objects seem to have to be the basis of all circuitry. Currently, the two "other objects" under exploration are:
  • The wham, for the reasons given above
  • The X-pentomino that evolves into a large diamond, which I'm calling the bam. This evolution sequence turns out to be very amenable to being hassled, especially given how frequently it arises in ash. Bam conduits can be lighter and faster than wham conduits.
Catalysts
There's a conduit stamp collection below, but I wanted to give special attention to the coolest catalysis I've found, a kind of "magic trick" where the triple whammy phases through a diagonal corner while keeping it intact:

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x = 26, y = 27, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
18bo$17bobo$16bo3bo$15bo5bo$14bo7bo$13bo9bo$12bo11bo$11bo13bo$12bo11b
o$13bo9bo$14bo7bo$15bo5bo$16bo3bo$17bobo$9b3o6bo$9bo2bo$9bo2bo$10b3o4$
7bo2$3o15b3o$o2bo14bo2bo$o2bo14bo2bo$b3o15b3o!
The reaction isn't useful in this exact form, but the diamond can be opened up from the other end and have the stuff inside it perturbed in order to serve as a proper conduit input.

As for catalysts in general, like I said above, a straight diagonal line is always a rock in this rule, but there are some strange other reactions I've stumbled across that hint at a lot of room to search for more-involved catalyses. Here are the two I've found to be the most versatile/broadly usable (the one on the right has no effect in this particular demo pattern, but it does have the ability to influence other reactions), with live cells necessary for the eating reaction marked in yellow and cells that must remain dead marked in red:

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x = 100, y = 36, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
76.A17.A$75.A.A15.A.A$74.A3.A13.A3.A$73.3A3.A11.3A3.A$72.3A5.A9.3A5.A
$71.A.A.A5.A7.A.A.A5.A$70.A5.A.A.A7.A5.A.A.A$71.A5.3A9.A5.3A$26.A17.A
27.A3.3A11.A3.3A$25.A.E15.A.A27.A3.A7.A5.A3.A$24.A.D.E13.A3.A27.A.A7.
A.A5.A.A$25.A.D.E13.A3.A27.A7.A3.A5.A$26.EDE15.A.A35.3A3.A$27.E17.A
35.3A5.A$80.A.A.A5.A$79.A5.A.A.A$14.A65.A5.3A$13.A.A65.A3.3A$12.A.A.A
65.A3.A$11.A2.A2.A65.A.A$10.A2.A2.A.A65.A$9.A.2A6.A$10.A6.2A.A$11.A.A
2.A2.A$12.A2.A2.A64.E$13.A.A.A64.E.E$14.A.A64.E3.E$15.A65.E3.E$80.A5D
A$79.A3.A3.A$2.A17.E59.A.A.A.A$.A.A15.EDE59.A3.A$A3.A13.E.D.A$.A3.A
13.E.D.A$2.A.A15.E.A$3.A17.A!
I don't have any kind of taxonomy of eater reactions, but check out some of the conduits in the below stamp collection to get an idea of some of the weird SL interactions I've been seeing (including rocks that aren't diagonal lines).

Also, as far as diagonal lines go, it pays to investigate just how much diagonal line is actually needed for a specific reaction that uses one. Oftentimes you can reduce it to just the three-cell wall or even two-cell corner of a mango, the smallest SL in this rule. Moreover, if dealing with a periodic reaction where it turns out you only need one single cell to be on at some specific time, a blinker or dot sparker can sometimes do the job in place of the corner of a larger SL (which helped reduce a lot of the stators in the osc collection below).

Collections (still somewhat unorganized)

Oscillators

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x = 688, y = 1063, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
258.2B14.B$257.B2.B.B2.B6.B.B9.B2.B$257.B2.B.2B.2B7.B9.2B$257.4B.B2.B
3.2B.B.3B2.B2.B.B2.B2.2B3.2B2.B$257.B2.B.B2.B2.B3.B.B2.B.B2.B.B2.B.B2.
B.B2.B$257.B2.B.B2.B2.B3.B.B2.B.B2.B.B2.B.B2.B.B2.B$257.B2.B2.B2.B.B3.
B2.2B3.2B3.B.B2.2B2.B2.B.B5$287.B$270.B3.B5.B6.B4.B$257.B3.B8.B3.B12.
B4.2B$257.B3.B2.4B2.B3.B2.2B.B2.3B.3B2.B$257.B.B.B8.B.B.B.B3.B.B2.B.B
2.B.B$257.B.B.B2.4B2.B.B.B.B3.B.B2.B.B2.B.B$258.B.B10.B.B2.B3.B2.3B.B
2.B2.B$285.B$282.B2.B$283.2B3$280.B4.B4.B.B$257.3B16.2B2.B4.B6.2B$257.
B2.B3.4B5.2B3.B.3B2.3B2.B.B$257.3B12.B3.3B.B2.B.B2.B.B.B$257.B2.B3.4B
4.B2.B2.B.B2.B.B2.B.B.B$257.B2.B11.B3.3B2.2B3.2B2.B2.B5$271.B6.B$271.
B4.B.B4.B$257.B2.B10.B6.B7.2B12.2B$257.B2.B3.4B3.3B2.B.3B2.B.B5.2B.B2.
B.B$257.4B10.B2.B.B.B2.B.B2.2B2.B3.B2.B2.2B$257.B2.B3.4B3.B2.B.B.B2.B
.B4.B.B3.B2.B4.B$257.B2.B10.B2.B.B2.2B2.B.3B3.2B2.2B2.3B6$220.D60.B15.
B$220.D37.3B11.2B7.B6.2B$153.D2.D9.D10.D21.D5.3D3.D.D5.D37.B6.4B3.B4.
B2.B.B.B.B4.B2.2B2.B$153.D2.D9.D10.D21.D4.D3.D.D.D.D4.D2.D17.D17.2B12.
2B2.B2.B.B.B.B2.3B.B2.B.B$153.D2.D2.2D5.D2.2D3.2D.D.D2.2D3.2D10.D4.D5.
D.D.D3.D3.2D4.D5.D.2D2.D19.B3.4B6.B.B2.B.B.B.B.B2.B.B2.B.B$153.D2.D.D
2.D2.3D.D2.D.D3.D3.D2.D.D2.D2.5D2.D4.D5.D.D.D3.D3.D3.D3.D.D5.D.D16.3B
11.3B3.3B.B.2B3.3B.B2.B.B$153.D2.D.D2.D.D2.D.4D.D3.D.D.D2.D.4D9.D4.D5.
D3.D2.D4.D2.D2.D.D.D.D.3D.D38.B$153.D2.D.D2.D.D2.D.D4.D3.D.D.D2.D.D5.
5D2.D4.D3.D.D3.D2.D4.D2.D2.D.D.D.D.D.D.D35.B2.B$154.2D2.D2.D2.2D3.3D.
D3.D.D.D2.D2.3D9.4D2.3D2.D3.D.D6.D.D2.D.2D2.D.3D.D36.2B$216.D$153.37D
30.D97.2B2.4B$220.D65.B30.B2.B4.B$213.D3.D2.D36.3B26.B7.2B7.2B12.B2.B
4.B$212.D.D.D.D.D.D.D32.B2.B3.4B4.2B3.2B3.2B2.B2.2B2.B2.B2.2B.B5.2B3.
2B3.2B4.B$212.D.D.D.D.D.D.D32.3B11.B2.B.B2.B.B2.B.B.B2.B.4B.B4.2B2.B2.
B.B2.B.B2.B2.B$213.D2.D.D.D2.2D32.B6.4B3.B2.B.B2.B.B2.B.B.B2.B.B4.B6.
B.B2.B.B2.B.B2.B2.B$224.D32.B13.3B3.2B3.2B2.B.3B3.3B.B3.3B3.2B2.B2.B2.
2B3.B$224.D46.B16.B$222.2D47.B16.B$271.B16.B2$298.B12.B$270.4B.B3.B.B
2.B13.B4.B7.B4.B$257.4B9.B4.B3.B.B.B7.B6.B4.2B2.2B2.B$178.D2.D.D73.B6.
4B2.3B2.B3.B.2B4.2B5.2B2.3B2.B2.B4.3B2.B2.2B$177.D.D.D.D11.2D3.D56.4B
9.B4.B.B.B.B.B2.B2.B.B.B2.B.B2.B.B3.2B2.B2.B.B.B2.B$177.D.D.D.D7.2D4.
D.D.D55.B6.4B2.B4.B.B.B.B.B2.B2.B.B.B2.B.B2.B.B5.B.B2.B.B.B2.B$177.3D
.D.D4.D4.D2.D4.D5.D3.D2.D2.D.D2.D3.D30.B12.B5.B.B2.B2.B.B2.B.B2.3B.B2.
B2.B.3B2.B2.B.B.3B$177.D.D.D.D3.D.D.2D4.D2.D5.D.D.D2.D.D.D.D.D.D.D.D68.
B21.B$177.D.D.D.D3.D.D7.D.D6.D.D.D2.D.D.D.D.2D2.D.D65.B2.B21.B$177.D.
D.D.D3.2D2.3D.2D2.3D4.2D2.D3.D3.D3.2D.D.D66.2B22.B$187.D18.D$187.D18.
D107.B27.B$187.D18.D106.B29.B$258.3B10.3B6.B17.B14.B4.B7.B11.B.B2.B$257.
B6.4B2.B5.2B2.2B2.2B12.B7.2B5.B4.B2.2B2.B.B.2B7.B.2B.B$257.B12.B7.B.B
5.B2.3B2.2B2.B.B2.B.B2.B4.B2.3B.B2.B.B5.B.B2.B.B.B2.B$257.B6.4B2.B5.3B
.B3.3B.B2.B.B2.B.B.B2.B.4B4.B.B2.B.4B.2B2.3B.B2.B.B.B2.B$258.3B9.B4.B
2.B.B2.B2.B.B2.B.B2.B.B.B2.B.B7.B.B2.B.B4.B2.B2.B.B2.B.B.B2.B$271.3B2.
3B2.B2.3B2.3B2.2B2.B2.2B3.3B4.B2.2B3.3B.B3.3B2.2B2.B2.B.B$291.B21.B29.
B$288.B2.B22.B27.B$289.2B15$141.D23.2D27.2D28.D2.D28.4D32.D27.4D27.2D
24.2D$141.D22.D2.D25.D2.D27.D2.D28.D34.D31.D26.D2.D22.D2.D108.D$141.D
25.D28.D27.D2.D28.3D31.D32.D26.D2.D22.D2.D108.D$141.D24.D28.D28.4D31.
D30.3D29.D28.2D24.3D108.D$141.D23.D30.D30.D31.D30.D2.D27.D28.D2.D25.D
108.D$141.D22.D28.D2.D30.D28.D2.D30.D2.D27.D28.D2.D22.D2.D108.D$141.D
22.4D26.2D31.D29.2D32.2D28.D29.2D24.2D109.D50.2D5.D61.2D4.2D50.D3.2D5.
D$488.D49.D2.D3.D61.D2.D2.D2.D49.D2.D2.D3.D$488.D49.D2.D2.D62.D2.D5.D
49.D5.D2.D$488.D50.2D3.3D61.3D4.D50.D4.D3.3D$488.D49.D2.D2.D2.D62.D3.
D51.D5.D2.D2.D$488.D49.D2.D2.D2.D59.D2.D2.D52.D2.D2.D2.D2.D$488.D50.2D
4.2D61.2D3.4D49.D3.2D4.2D$488.D$488.D$488.D$488.D$141.A23.A26.A7.A24.
3A22.A2.A9.A2.A53.A.A24.A3.A4.A20.A110.D$140.A.A22.A25.A.A5.A.A47.A4.
A7.A4.A32.A18.A.A.A23.A2.3A3.A19.A.A109.D$139.A2.A22.A24.A2.A5.A2.A22.
3A21.A4.A7.A4.A14.A16.3A16.A5.A22.A3.A4.A18.A3.A108.D$139.A.A48.A.A7.
A.A46.A.2A.A7.A.2A.A13.A.A14.A3.A14.A7.A48.A5.A107.D$140.A50.A.7A.A47.
2A2.2A7.2A2.2A12.A3.A4.4D4.A2.A2.A12.A4.A4.A46.A7.A106.D$193.A5.A48.A
6.A5.A6.A12.A2.2A10.2A.A.A.2A12.A2.3A2.A46.A3.3A3.A105.D47.A.A68.2A5.
2A60.A$193.A2.A2.A48.3A2.3A5.3A2.3A13.A.A4.4D4.A2.A2.A12.A4.A4.A44.A4.
A.A4.A104.D47.A69.A2.A3.A2.A58.A.A$193.A.3A.A83.A14.A3.A14.A7.A46.A3.
3A3.A105.D47.A.A66.A2.A5.A2.A57.A2.A$164.2A27.A2.A2.A58.D40.3A16.A5.A
26.A21.A7.A106.D48.A68.2A3.A3.2A59.A.A$163.A2.A26.A5.A48.3A2.3A5.3A2.
3A31.A18.A.A.A27.A22.A5.A107.D49.A71.A.A64.A$164.A2.A23.A.7A.A46.A6.A
2.D2.A6.A51.A.A28.A23.A3.A108.D47.2A71.A3.A58.A$165.2A23.A.A7.A.A46.2A
2.2A7.A4.A108.A.A109.D46.A74.A.A47.2A9.A.A$166.A23.A2.A5.A2.A46.A.2A.
A7.A4.A109.A110.D47.A3.A70.A47.A2.A11.A$191.A.A5.A.A47.A4.A6.A6.A82.A
136.D48.A.A59.A23.A34.A2.A12.3A$192.A7.A24.4A20.A4.A6.3A2.3A81.A.A135.
D49.A59.A.A21.A.A34.2A13.A2.A$250.A2.A90.3A2.A.A.A2.3A129.D108.A2.A21.
A2.A46.4A.A$162.2A186.A.A135.D108.A.A23.A.A46.A.2A.A$161.A2.A60.4A32.
3A2.3A20.2A60.A136.D109.A25.A47.A3.A$162.A2.A95.A6.A19.A2.A196.D145.B
3.B34.3A$163.2A.A95.2A2.2A19.A4.A195.D52.A92.B3.B$164.A2.A84.B2.B6.A.
2A.A20.2A3.A57.A23.2A111.D145.B.B.B24.A$165.A.A84.B2.B6.A4.A21.2A3.A56.
A22.A2.A110.D36.A10.A17.A43.A25.A9.B.B.B25.A$166.A85.4B6.A4.A22.2A2.A
56.A21.A2.A111.D30.3A2.A.A8.3A15.3A41.A.A23.A.A9.B.B27.A$252.B2.B7.A2.
A24.A.A79.A.A112.D33.A.A2.A8.3A15.3A40.A2.A21.A2.A$207.A44.B2.B36.A81.
A4.A108.D30.A.A.A4.A8.A17.A42.A.A21.A.A$206.A.A169.A.A107.D32.2A6.A18.
A.A48.A23.A$163.2A24.2A14.A3.A14.5A148.A.2A107.D34.A3.2A20.A61.A$162.
A2.A22.A2.A12.A2.A.A168.2A2.2A104.D35.A.A21.A61.A.A66.2A$161.A4.A20.A
4.A12.2A.A15.5A122.A29.A2.A103.D36.A.A81.A3.A64.A2.A$162.2A3.A18.A6.A
156.A.A27.A2.A104.D36.2A.A81.A.A64.A2.A$163.2A.A20.A.2A.A4.4D4.A.A141.
A3.A27.2A105.D39.A16.A60.2A3.A3.2A61.2A$165.A21.A4.A12.A.A142.A3.A133.
D37.A.A15.3A58.A2.A5.A2.A65.B3.B$186.A2.2A2.A3.4D150.3A134.D56.3A58.A
2.A3.A2.A45.A20.B3.B$187.A4.A12.2A.A143.A135.D57.A60.2A5.2A45.A.A19.B
.B.B$188.A2.A12.A2.A.A278.D172.A2.A18.B.B.B$189.2A14.A3.A150.A127.D173.
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A61.B.B.B92.D104.A2.A2.A39.B.B.B$38.2A15.2A65.B.B6.3B5.B4.3B138.A13.A
40.A50.B.B.B92.D105.A.A.A41.B.B$37.A2.A13.A2.A281.3A50.B.B93.D106.A.A
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$37.A2.3A9.3A2.A41.A2.A69.B2.B103.2A5.A3.A3.A3.A5.2A182.D$36.A.A2.A11.
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17.A$80.A2.A16.2A139.A2.A16.A2.A19.A15.A53.4B130.D$81.A2.A155.A2.A18.
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4A8.4A45.B2.B178.D$38.2A16.2A188.A12.A228.D$37.A2.A14.A2.A429.D$36.A2.
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12.A2.A.A32.2A.2A391.D$36.A2.A16.A2.A31.A2.A2.A390.D$37.A2.A14.A2.A31.
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20.2A200.D$81.2A158.A2.A16.A2.A223.D$80.A2.A158.A2.A14.A2.A27.A4.A191.
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28.A2.A405.D$47.A2.A29.A2.A217.B3.B182.D$47.A.A31.2A218.B3.B182.D$38.
2A8.A8.2A242.B.B.B182.D96.A$37.A2.A15.A2.A241.B.B.B182.D95.3A$36.A2.A
17.A2.A241.B.B183.D96.3A15.A.A$36.A.A2.A13.A2.A.A427.D97.A16.A$37.A2.
3A11.3A2.A428.D114.A.2A$36.A.A2.A13.A2.A.A184.2A241.D115.A.A$36.A2.A17.
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25.B3.B$38.2A7.A.A7.2A185.2A8.2A232.D92.A.A18.A4.2A2.A23.B3.B$47.A2.A
196.A5.A2.A231.D87.A17.A8.A3.A.A.A23.B.B.B$48.A.A39.2A.2A151.3A3.A2.A
232.D86.3A15.3A8.2A.A2.2A23.B.B.B$49.A39.A2.A2.A151.A5.2A233.D87.3A15.
3A8.A30.B.B$88.A2.A.A2.A147.2A242.D88.A17.A10.2A$88.A.A3.A.A146.A2.A241.
D$89.A2.A2.A148.A2.A240.D101.A$91.3A151.2A241.D118.A5.A11.A.A$92.A160.
4B3.B4.3B220.D119.A.A.A12.A$253.B5.B4.B223.D118.A.3A.A11.A.A$81.2A170.
4B.5B.B223.D117.A3.A3.A11.A$80.A2.A169.B5.B4.B223.D104.A11.A9.A11.A$79.
A2.A170.B6.B4.3B220.D103.A.A9.A11.A8.2A$79.A.A2.A403.D102.A3.A7.A13.A
6.A$38.2A18.2A20.A2.3A402.D107.A7.A11.A8.A3.A$37.A2.A16.A2.A18.A.A2.A
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A.A14.A$37.A2.A16.A2.A427.D141.A$38.2A18.2A428.D$488.D125.A10.A17.A$488.
D119.3A2.A.A8.3A15.3A$488.D122.A.A2.A8.3A15.3A$488.D119.A.A.A4.A8.A17.
A$94.2A.2A389.D121.2A6.A18.A.A$93.A2.A2.A388.D123.A3.2A20.A$38.2A19.2A
31.A2.A.A2.A387.D124.A.A21.A$37.A2.A17.A2.A30.A.A3.A.A387.D125.A.A$36.
A2.A19.A2.A30.A2.A2.A388.D125.2A.A$36.A.A2.A15.A2.A.A32.3A390.D128.A16.
A$37.A2.3A13.3A2.A34.A391.D126.A.A15.3A$36.A.A2.A15.A2.A.A425.D145.3A
$36.A2.A19.A2.A19.2A404.D146.A$37.A2.A17.A2.A19.A2.A403.D$38.2A19.2A19.
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$37.A2.A19.A2.A424.D$36.A2.A21.A2.A423.D$36.A.A2.A17.A2.A.A423.D$37.A
2.3A15.3A2.A424.D$36.A.A2.A17.A2.A.A423.D$36.A2.A21.A2.A423.D$37.A2.A
19.A2.A424.D$38.2A9.A11.2A425.D$48.A.A437.D$48.A2.A38.D397.D$49.A.A34.
2D2.2D2.3D391.D$50.A34.D2.D.D2.D394.D$85.4D.D2.D394.D$85.D4.D2.D394.D
$86.3D2.D2.3D391.D$488.D$488.D$488.D$488.D$488.D$38.2A22.2A424.D$37.A
2.A20.A2.A423.D$36.A2.A22.A2.A422.D$36.A.A2.A18.A2.A.A422.D$37.A2.3A16.
3A2.A423.D121.A$36.A.A2.A18.A2.A.A422.D120.3A$36.A2.A22.A2.A422.D119.
3A$37.A2.A20.A2.A423.D120.A$38.2A22.2A424.D$488.D$488.D102.A20.A$488.
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3A15.3A$51.A.A434.D110.3A15.3A$50.A2.A434.D111.A17.A$38.2A10.A.A10.2A
423.D$37.A2.A10.A10.A2.A422.D116.A$36.A2.A23.A2.A421.D$36.A.A2.A19.A2.
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10.2A423.D114.2A$50.A2.A434.D$51.A.A434.D$52.A435.D$488.D$488.D$488.D
$488.D$50.D437.D$46.2D2.2D2.3D431.D$45.D2.D.D2.D434.D$45.4D.D2.D434.D
$45.D4.D2.D434.D$46.3D2.D2.3D431.D$488.D$488.D$488.D$488.D$488.D$488.
D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.
D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.
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3.4D21.2D4.2D30.2D4.2D124.D$42.D2.D2.D2.D27.D2.D2.D24.D2.D2.D2.D16.D2.
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14D24.14D121.D$44.D3.D2.D29.D3.D26.D5.D19.D5.D24.D3.4D45.D6.D36.D3.3D
16.D5.D23.D4.2D31.D4.3D123.D$45.D2.D2.D30.D2.D27.D3.D21.D5.D24.D5.D40.
16D34.D2.D2.D16.D3.D25.D2.D2.D31.D5.D123.D$42.D2.D2.D2.D27.D2.D2.D24.
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6.D44.2D4.2D36.2D4.2D15.2D4.D23.2D4.2D30.2D4.2D124.D$488.D$42.10D84.10D
74.10D34.10D214.D$488.D$488.D$488.D$488.D$488.D$42.A445.D$41.A.A444.D
$40.A3.A68.A5.A45.A12.2A89.A.A44.A46.A124.D$39.A3.A34.A5.A27.A.A4.A44.
A.A10.A2.A39.A12.A35.A.A43.A.A44.A.A123.D$38.A3.A34.A.A3.A.A25.A2.A4.
A43.A3.2A9.A2.A37.A.A10.A.A34.A.A43.A2.A42.A2.A123.D$37.A3.A34.A2.A3.
A2.A24.A.A2.A9.B3.B33.A4.A9.2A37.A2.A10.A2.A29.2A49.A.A42.A.A124.D$38.
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A125.D$39.A5.A.A29.A7.A30.A9.B.B.B33.A4.A4.3A42.A14.A28.A2.A58.A162.D
$41.D2.A3.A24.2A51.B.B.B32.A3.2A6.A87.A.A58.3A161.D$45.A.A5.A18.A2.A34.
2A15.B.B34.A.A97.A4.A55.A20.2A5.A17.A5.2A109.D$46.A5.A.A18.A2.A32.A2.
A52.A102.3A74.A2.A3.3A15.3A3.A2.A108.D$51.A3.A18.2A4.A29.A2.A50.A.A100.
3A57.A16.A2.A5.A17.A5.A2.A107.D$50.A3.A24.3A29.2A50.A3.2A51.3A8.3A34.
A3.2A52.A.A16.2A31.2A108.D$49.A3.A26.A9.2A72.A4.A50.A.A8.A.A37.A2.A51.
A2.A158.D$48.A3.A22.2A12.A2.A72.A4.A49.3A8.3A36.A2.A53.A.A32.A125.D$47.
A3.A22.A2.A10.A2.A72.A4.A9.2A90.2A55.A32.A.A124.D$48.A.A24.A2.A10.2A72.
A3.2A9.A2.A179.A2.A123.D$49.A26.2A86.A.A10.A2.A181.A.A123.D$165.A12.2A
34.2A22.2A34.3B86.A124.D$213.A2.A20.A2.A33.B2.B210.D$214.A2.A18.A2.A34.
3B211.D$49.4B3.B4.3B116.B3.B30.2A20.2A35.B90.B2.B119.D$49.B5.B4.B119.
B3.B89.B90.B2.B119.D$49.4B.5B.B119.B.B.B180.4B119.D$49.B5.B4.B44.2A4.
A13.A4.2A48.B.B.B180.B2.B119.D$49.B6.B4.3B40.A2.A2.3A11.3A2.A2.A48.B.
B181.B2.B119.D$103.A2.A4.A13.A4.A2.A86.3A8.3A254.D$104.2A25.2A2.3B82.
A.A8.A.A89.A164.D$135.B2.B81.3A8.3A88.A.A163.D$135.3B184.A2.A162.D$135.
B2.B184.A.A162.D$135.B2.B185.A163.D$239.B2.B245.D$219.A14.A4.B2.B71.2A
172.D$218.A.A12.A.A3.4B70.A2.A171.D$218.A2.A10.A2.A3.B2.B69.A2.A10.A161.
D$219.A.A10.A.A4.B2.B70.2A10.A.A160.D$220.A12.A90.A.A.A30.2A127.D$325.
A.A3.2A25.A2.A126.D$326.A3.A2.A23.A2.A127.D$329.A2.A24.A.A128.D$330.2A
26.A3.A125.D$361.A.A124.D$321.A40.A125.D$320.A.A47.A117.D$320.A2.A7.B
3.B21.2A10.A.A116.D$321.A.A7.B3.B20.A2.A8.A2.A116.D$322.A8.B.B.B21.A2.
A7.A.A117.D$331.B.B.B22.2A9.A118.D$332.B.B153.D$488.D$488.D$488.D$362.
B3.B7.4B3.B4.3B99.D$362.B3.B3.B3.B5.B4.B102.D$362.B.B.B2.3B2.4B.5B.B102.
D$362.B.B.B3.B3.B5.B4.B102.D$363.B.B8.B6.B4.3B99.D$488.D$488.D$488.D$
488.D$488.D$52.D2.D3.2D28.D2.D2.D24.D2.D3.2D17.D2.D3.2D22.D2.D2.D2.D17.
D2.D2.4D38.D2.D4.D50.D2.D2.4D45.D2.D3.2D25.D2.D3.2D79.D$52.D2.D2.D2.D
27.D2.D2.D24.D2.D2.D2.D16.D2.D2.D2.D21.D2.D2.D2.D17.D2.D2.D41.D2.D3.D
51.D2.D5.D45.D2.D2.D2.D24.D2.D2.D2.D78.D$50.14D23.11D20.14D12.14D17.14D
13.14D33.15D45.14D41.14D20.14D76.D$52.4D2.D2.D27.4D2.D24.4D4.D17.4D4.
D22.4D2.4D17.4D5.D38.4D2.4D49.4D4.D46.4D3.2D25.4D3.3D78.D$55.D2.D2.D30.
D2.D27.D3.D21.D5.D24.D5.D20.D5.D41.D2.D2.D52.D3.D50.D2.D2.D27.D5.D78.
D$55.D2.D2.D30.D2.D27.D2.D22.D2.D2.D24.D5.D20.D2.D2.D41.D2.D2.D52.D3.
D50.D2.D2.D27.D2.D2.D78.D$55.D3.2D31.D2.D27.D2.4D19.D3.2D25.D5.D20.D3.
2D42.D3.2D53.D3.D50.D3.2D28.D3.2D79.D$488.D$204.10D274.D$488.D$488.D$
488.D$488.D$488.D$488.D$488.D$48.2A46.A23.2A8.2A47.A27.A40.A118.2A5.2A
112.D$47.A2.A40.A3.A.A21.A2.A6.A2.A.2D42.A.A25.A.A38.A.A14.A44.A12.A43.
A2.A3.A2.A111.D$48.A2.A38.A.A2.A2.A19.A2.A6.A2.A3.D42.A2.A23.A2.A37.A
2.A13.A.A42.A.A10.A.A41.A2.A5.A2.A110.D$48.A.A38.A2.A3.A.A19.A.A8.A.A
3.D43.A.A23.A.A38.A.A13.A2.A41.A2.A10.A2.A41.2A3.A3.2A111.D$49.A36.A2.
A.A5.A21.A10.A3.3D43.A25.A2.2A36.A14.A.A42.A.A12.A.A45.A.A115.D$85.A.
A2.A30.A8.A52.A24.2A.A51.A38.2A4.A14.A4.2A39.A3.A114.D$55.A29.A2.A31.
3A6.A52.A.A23.A.A63.2A25.A2.A22.A2.A39.A.A7.B2.B104.D$54.A.A29.A.A32.
A8.A50.A.A.A23.A4.A58.A2.A23.A2.A24.A2.A39.A8.B2.B104.D$53.A.A.A29.A31.
A10.A51.A.A28.A.A43.A14.A2.A23.2A26.2A49.4B104.D$54.A3.A59.A.A8.A4.2D
47.A28.A2.A40.A.3A14.2A31.A14.A9.B2.B43.B2.B104.D$55.A.A.A58.A2.A6.A.
A5.D66.A2.A.D2.A2.A42.A.3A45.3A12.3A8.B2.B43.B2.B104.D$51.A4.A.A33.3A
24.A2.A5.A2.A3.D40.A25.A4.A4.2A46.A47.A14.A9.4B29.2A7.2A111.D$50.4A3.
A33.A3.A4.A19.2A7.A.A2.D67.A4.A34.2A89.B2.B28.A2.A5.A2.A110.D$50.A2.A
37.A.A.A3.A.A28.A3.3D48.A16.A.2A.A33.A2.A88.B2.B29.A2.A3.A2.A111.D$51.
A.2A8.A27.A3.A2.A2.A82.A.A15.2A2.2A34.A2.A11.A2.A106.2A5.2A112.D$52.2A
8.A.A23.A3.3A2.A2.A83.A2.A13.A6.A34.2A11.A.2A.A226.D$61.A3.A21.A.A6.A
2.A85.A.A13.3A2.3A41.A4.A6.A5.A219.D$62.2A.A21.A2.A4.A2.A87.A62.3A2.A
8.A3.A220.D$64.A23.A.A4.A.A21.4B3.B4.3B77.B3.B5.B2.B23.3A4.A6.A5.A219.
D$89.A6.A22.B5.B4.B70.3A2.3A2.B3.B2.B2.B2.B24.A5.A6.A4.3A218.D$119.4B
.5B.B70.A6.A2.B.B.B.3B.4B25.A3.A8.A2.3A219.D$119.B5.B4.B71.2A2.2A3.B.
B.B2.B2.B2.B24.A5.A6.A4.A220.D$119.B6.B4.3B68.A.2A.A4.B.B6.B2.B31.A.2A
.A11.2A213.D$94.B3.B76.A3.A22.A4.A49.A2.A11.A2.A212.D$94.B3.B75.A.A.A
.A21.A4.A65.A2.A93.A117.D$94.B.B.B74.A3.A3.A2.A18.A2.A67.2A94.A117.D$
94.B.B.B75.A5.A2.A.A71.A112.A117.D$40.2A26.2A25.B.B77.A3.A2.A2.A70.3A
.A227.D$39.A2.A24.A2.A104.A3.A2.A.A56.2A14.3A.A226.D$38.A2.A26.A2.A104.
A.A4.A56.A2.A14.A229.D$38.A.A2.A22.A2.A.A105.A63.A2.A243.D$39.A2.3A20.
3A2.A171.2A114.2A3.A13.A3.2A105.D$38.A.A2.A22.A2.A.A109.A72.A102.A2.A
.A.A11.A.A.A2.A104.D$38.A2.A26.A2.A3.B3.B100.3A70.A.A14.A85.A2.A3.A13.
A3.A2.A103.D$39.A2.A24.A2.A4.B3.B101.A70.A2.A13.A.A85.2A23.2A104.D$40.
2A26.2A5.B.B.B172.A.A13.A2.A216.D$75.B.B.B173.A14.A.A217.D$76.B.B190.
A218.D$370.A117.D$193.B3.B172.A16.3B98.D$193.B3.B172.A16.B2.B97.D$187.
A5.B.B.B189.3B98.D$181.A4.A.A4.B.B.B67.B3.B117.B2.B97.D$47.A29.A102.A
.A2.A3.A4.B.B68.B3.B117.B2.B97.D$39.A7.A21.2A6.A101.A2.A2.A3.A75.B.B.
B218.D$38.A.A6.A20.A2.A5.A101.A.A2.A5.A74.B.B.B218.D$37.A2.A26.A2.A109.
A2.A3.A3.A74.B.B219.D$37.A.A27.A.A114.A.A.A.A297.D$38.A29.A116.A3.A298.
D$58.2D2.D288.2A135.D$57.D2.2D288.A2.A40.A93.D$349.A2.A29.2A8.2A.A92.
D$43.A7.A6.2D2.D10.A7.A266.A2.A29.A2.A6.A3.A92.D$42.A.A6.A5.D2.2D10.A
.A6.A266.A.A29.A2.A8.A.A93.D$41.A3.A5.A19.A3.A5.A267.A20.2D2.D5.A.A10.
A94.D$42.A.A27.A.A294.D2.2D7.A106.D$38.A4.A3.A20.A4.A3.A277.A132.D$37.
A.A6.A.A18.A.A6.A.A101.A173.A.A13.2D2.D12.A100.D$37.A2.A4.A2.A18.A2.A
4.A2.A101.A172.A3.A11.D2.2D12.A.A99.D$38.A.A4.A.A20.A.A4.A.A102.A168.
A4.A.A5.A22.A3.A98.D$39.A6.A22.A6.A271.A.A4.A5.A.A17.A4.A.A99.D$348.A
2.A8.A2.A16.A.A4.A5.A94.D$81.3B6.B3.B254.A2.A6.A2.A17.A2.A8.A.A93.D$81.
B2.B2.B2.B3.B255.A2.A4.A2.A19.A2.A6.A2.A93.D$81.3B2.3B.B.B.B79.3A7.3A
164.2A6.2A21.A2.A4.A2.A6.B3.B83.D$81.B2.B2.B2.B.B.B85.A184.3B4.B4.3B3.
2A6.2A4.B2.B3.B83.D$81.B2.B6.B.B85.3A182.B6.B4.B19.3B.B.B.B83.D$180.A
184.2B3.5B.B20.B2.B.B.B83.D$50.A316.B3.B4.B24.B.B84.D$49.A.A312.3B5.B
4.3B108.D$49.A2.A435.D$50.A.A435.D$51.A436.D$48.A439.D$47.A.A438.D$46.
A3.A437.D$47.A3.A2.A119.3A7.3A301.D$48.A.A2.A.A10.A8.B3.B408.D$49.A4.
A.A8.A.A7.B3.B111.B3.B292.D$55.A8.A3.A6.B.B.B111.B3.B292.D$65.A3.A5.B
.B.B111.B.B.B292.D$66.A.A7.B.B101.A10.B.B.B292.D$63.A3.A112.A11.B.B293.
D$64.A115.A307.D$63.A.A422.D$63.A2.A421.D$64.A.A421.D$65.A422.D$488.D
$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.D$488.
D$488.D$32.4D3.2D28.4D2.D24.4D3.2D52.4D3.2D39.4D2.D2.D15.4D2.4D23.4D4.
D24.4D2.4D20.4D3.2D25.4D3.2D115.D$32.D5.D2.D27.D5.D24.D5.D2.D51.D5.D2.
D38.D5.D2.D15.D5.D26.D6.D25.D8.D20.D5.D2.D24.D5.D2.D114.D$32.3D3.D2.D
27.3D3.D24.3D6.D51.3D6.D38.3D3.D2.D15.3D3.3D24.3D3.D26.3D6.D18.14D22.
3D3.D2.D114.D$30.14D22.14D18.14D47.14D34.14D11.14D19.14D19.14D21.D3.2D
23.14D112.D$35.D2.D2.D30.D2.D27.D3.D56.D5.D41.D5.D18.D5.D26.D2.D2.D26.
D3.D25.D2.D2.D27.D5.D114.D$32.D2.D2.D2.D27.D2.D2.D24.D2.D2.D54.D2.D2.
D2.D38.D2.D5.D15.D2.D2.D2.D23.D2.D2.D2.D23.D2.D3.D22.D2.D2.D2.D24.D2.
D2.D2.D114.D$33.2D4.2D29.2D3.D25.2D3.4D52.2D4.2D40.2D6.D16.2D4.2D25.2D
4.2D25.2D4.D23.2D4.2D26.2D4.2D115.D$488.D$68.9D157.10D56.10D178.D$488.
D$488.D$488.D$323.2A19.2A142.D$322.A2.A17.A2.A141.D$321.A2.A19.A2.A140.
D$321.A.A5.A15.A.A140.D$42.A61.A54.2A9.2A41.A54.2A7.2A43.A5.3A15.A141.
D$41.A.A61.A52.A2.A7.A2.A39.A.A52.A2.A5.A2.A43.A5.A15.A142.D$40.A3.A61.
A52.A2.A5.A2.A40.A2.A50.A2.A7.A2.A41.A.2A17.2A.A141.D$35.2A2.A3.A61.A
.A49.A2.A.A5.A.A2.A39.A.A49.A2.A9.A2.A40.A3.A15.A3.A141.D$34.2A.A2.A.
A61.A.A.2A46.A.A2.A7.A2.A.A39.A49.A2.A11.A2.A40.A.A17.A.A142.D$34.A.A
4.A63.4A.A44.A3.A2.A5.A2.A3.A88.A.A13.A2.A40.A19.A143.D$35.A68.A2.A3.
A44.A.A4.A3.A4.A.A90.A15.A.A204.D$108.A.A46.A6.A.A6.A98.A9.A65.B3.B135.
D$46.B3.B58.A55.A52.A52.4A73.B3.B135.D$46.B3.B166.3A52.A.A73.B.B.B135.
D$32.A13.B.B.B105.A17.A37.A5.A53.4A72.B.B.B135.D$31.A.A12.B.B.B104.A9.
A9.A35.3A60.A74.B.B136.D$30.A3.A12.B.B98.A5.A9.A.A9.A5.A29.A275.D$29.
A3.A113.A.A3.A9.A3.A9.A3.A.A304.D$30.A.A68.3B3.B3.3B32.A3.A6.A6.A.A6.
A6.A3.A99.3B201.D$31.A68.B7.B2.B2.B29.A2.A.A15.A15.A.A2.A96.B204.D$100.
B4.5B.3B29.A.A2.A33.A2.A.A28.A66.B204.D$100.B7.B2.B2.B28.A2.A18.A18.A
2.A27.A.A5.B2.B56.B204.D$101.3B3.B3.B2.B29.A2.A16.A.A16.A2.A28.A2.A4.
B2.B57.3B201.D$145.2A.A14.A3.A14.A.2A30.A.A4.4B261.D$149.A6.A5.A5.A5.
A6.A35.A5.B2.B261.D$150.A4.A.A3.A7.A3.A.A4.A42.B2.B45.2D2.D211.D$151.
A2.A3.A.A9.A.A3.A2.A91.D2.2D212.D$150.A4.A.A3.A7.A3.A.A4.A307.D$149.A
6.A5.A5.A5.A6.A90.2D2.D211.D$145.2A.A14.A3.A14.A.2A85.D2.2D212.D$144.
A2.A16.A.A16.A2.A301.D$143.A2.A18.A18.A2.A300.D$143.A.A2.A33.A2.A.A300.
D$99.A18.A25.A2.A.A15.A15.A.A2.A301.D$98.A.A16.A.A26.A3.A6.A6.A.A6.A6.
A3.A303.D$97.A3.A14.A3.A26.A.A3.A9.A3.A9.A3.A.A304.D$96.A2.A.A14.A.A2.
A26.A5.A9.A.A9.A5.A305.D$95.A2.A.A16.A.A2.A32.A9.A9.A312.D$95.A.A22.A
.A33.A17.A313.D$96.A24.A149.3A214.D$165.A105.A2.A213.D$157.A6.A.A6.A97.
A3.A212.D$156.A.A4.A3.A4.A.A97.A2.A212.D$155.A3.A2.A5.A2.A3.A97.3A212.
D$156.A.A2.A7.A2.A.A313.D$157.A2.A.A5.A.A2.A314.D$159.A2.A5.A2.A316.D
$158.A2.A7.A2.A315.D$159.2A9.2A89.3A17.3A$102.A12.A145.A2.A16.A2.A$101.
A.A10.A.A144.A3.A15.A3.A$102.A12.A146.A2.A16.A2.A$96.A24.A54.B2.B83.3A
17.3A$95.A.A22.A.A53.B2.B$95.A2.A.A16.A.A2.A53.4B$96.A2.A.A14.A.A2.A54.
B2.B$97.A3.A14.A3.A55.B2.B$98.A.A16.A.A4.B3.B142.3A$99.A18.A5.B3.B142.
A2.A$124.B.B.B142.A3.A$124.B.B.B143.A2.A$125.B.B145.3A$291.B3.B4.4B3.
B4.3B$288.B2.B3.B4.B5.B4.B$287.3B.B.B.B4.4B.5B.B$288.B2.B.B.B4.B5.B4.
B$292.B.B2.B2.B6.B4.3B$296.B6$39.D4.2D30.D3.D26.D4.2D19.D4.2D19.D3.D2.
D45.D3.4D49.D5.D26.D3.4D26.D4.2D27.D4.2D$38.D4.D2.D28.D4.D25.D4.D2.D17.
D4.D2.D17.D4.D2.D44.D4.D51.D5.D26.D7.D25.D4.D2.D25.D4.D2.D$37.D5.D2.D
27.D5.D24.D8.D16.D8.D16.D5.D2.D43.D5.3D48.D5.D26.D8.D22.14D22.D5.D2.D
$35.14D22.14D18.14D14.3D5.D17.3D3.4D41.14D43.14D19.14D22.3D4.2D23.14D
$37.D2.D2.D2.D27.D2.D2.D24.D2.D3.D16.14D12.14D41.D2.D5.D47.D2.D2.D2.D
23.D2.D3.D26.D2.D2.D2.D24.D2.D5.D$37.D2.D2.D2.D27.D2.D2.D24.D2.D2.D19.
D2.D2.D2.D16.D2.D5.D43.D2.D2.D2.D47.D2.D2.D2.D23.D2.D3.D26.D2.D2.D2.D
24.D2.D2.D2.D$38.2D4.2D29.2D3.D25.2D3.4D17.2D4.2D18.2D6.D44.2D4.2D49.
2D4.2D25.2D4.D27.2D4.2D26.2D4.2D2$37.10D84.10D126.10D57.10D6$368.A4.A
$367.A.A2.A.A$190.3D.3D.3D104.A28.A31.A2.A2.A2.A10.A$190.D.D.D.D.D.D103.
A.A26.A.A30.A.A4.A.A9.A.A$190.3D.3D.3D103.A2.A23.2A3.A30.A6.A10.A2.A$
190.D7.D106.A.A24.A2.A50.A.A$190.D7.D107.A24.2A.A6.6A40.A$332.2A.2D4.
A4.A$332.A8.6A37.A$195.A187.3A$194.A.A187.A$193.A3.A$192.A5.A32.2A$191.
A7.A24.2A4.A2.2A$190.A4.A4.A22.A2.A4.A3.A4.A6.A$189.A4.3A4.A20.A2.A6.
A.A6.A4.A.A57.A$188.A6.A6.A20.2A8.A12.A2.A55.A.A$187.A15.A37.A5.A.A44.
2A10.A10.2A48.A$186.A17.A43.A44.A2.A6.A5.A6.A2.A46.3A$185.A19.A39.A48.
A2.A4.A.A3.A.A4.A2.A48.A$184.A21.A37.A.A48.2A6.A5.A6.2A$185.A19.A37.A
.A.A58.A57.A$186.A17.A39.A.A58.A.A55.A.A$187.A15.A41.A60.A56.A2.A10.A
6.A$188.A6.A6.A161.A.A9.A.A4.A.A$189.A4.3A4.A163.A10.A2.A2.A2.A$190.A
4.A4.A6.B2.B166.A.A2.A.A$191.A7.A7.B2.B167.A4.A5.B3.B$192.A5.A8.4B18.
A159.B3.B$193.A3.A9.B2.B17.A.A158.B.B.B$194.A.A10.B2.B16.A.A.A81.B2.B
72.B.B.B$195.A32.A.A82.B2.B73.B.B$229.A76.A6.4B$226.A78.A.A5.B2.B$225.
A.A5.A17.2A51.A2.A5.B2.B$187.D3.D33.A2.A12.A8.A2.A50.A.A$187.D3.D34.A
.A4.A6.A.A6.A2.A52.A$187.3D.3D.3D.D.D25.A6.A4.A3.A6.2A$187.D.D.D.D.D.
D2.D39.2A2.A$187.3D.3D.3D.D.D40.2A3$191.2A5.2A$190.A2.A3.A2.A$189.A2.
A5.A2.A49.B3.B$188.A2.A7.A2.A48.B3.B$187.A2.A4.A4.A2.A47.B.B.B$186.A2.
A4.3A4.A2.A46.B.B.B$186.A.A6.A6.A.A47.B.B$187.A15.A6$187.A15.A$186.A.
A6.A6.A.A$186.A2.A4.3A4.A2.A$187.A2.A4.A4.A2.A$188.A2.A7.A2.A$189.A2.
A5.A2.A$190.A2.A3.A2.A$191.2A5.2A$206.B2.B$206.B2.B$206.4B$206.B2.B$206.
B2.B35$89.4D3.2D28.4D2.D24.4D3.2D17.4D3.2D17.4D2.D2.D15.4D2.4D23.4D4.
D24.4D2.4D20.4D3.2D25.4D3.2D$92.D2.D2.D30.D2.D27.D2.D2.D19.D2.D2.D19.
D2.D2.D18.D2.D29.D3.D28.D5.D23.D2.D2.D27.D2.D2.D$92.D2.D2.D30.D2.D27.
D5.D19.D5.D19.D2.D2.D18.D2.3D27.D2.D29.D5.D23.D2.D2.D27.D2.D2.D$91.D3.
D2.D29.D3.D26.D5.D19.D5.D19.D3.4D17.D6.D25.D3.3D26.D5.D23.D4.2D27.D4.
3D$87.14D22.14D19.14D12.14D12.14D10.14D19.14D19.14D16.14D20.14D$90.D4.
D2.D28.D4.D25.D4.D20.D4.D2.D17.D7.D16.D4.D2.D24.D4.D2.D24.D5.D23.D4.D
2.D25.D4.D2.D$90.D5.2D29.D4.D25.D4.4D17.D5.2D18.D7.D16.D5.2D25.D5.2D25.
D5.D23.D5.2D26.D5.2D2$157.10D67.10D23.10D23.10D20.10D3$185.2A5.2A$184.
A2.A3.A2.A$183.A2.A2.A2.A2.A$182.A2.A2.A.A2.A2.A$181.A2.A4.A4.A2.A$86.
2A15.2A75.A2.A11.A2.A13.2A.2A124.A22.2A6.2A$85.A2.A3.3A7.A2.A73.A2.A13.
A2.A11.A2.A2.A122.A.A20.A2.A4.A2.A$86.A2.A2.A.A6.A2.A74.A.A15.A.A12.A
3.A122.A2.A19.A2.A6.A2.A$87.2A3.3A7.2A76.A17.A14.A.A123.A.A20.A.A4.A3.
A2.A$214.A125.A22.A4.A.A3.A2.A$367.A3.A3.A2.A$214.A153.A.A5.A.A$213.3A
130.2A21.A7.A$180.A17.A13.5A107.2A19.A2.A$179.A.A15.A.A13.3A107.A2.A19.
A2.A$179.A2.A13.A2.A14.A109.A2.A13.A5.2A14.A$180.A2.A11.A2.A126.2A13.
A.A19.A.A$179.A2.A13.A2.A14.A124.A.A20.A2.A$179.A.A15.A.A14.A125.A22.
A2.A$180.A17.A15.A117.A31.2A$331.A.A$209.A9.A110.A2.A$208.A.A7.A.A109.
A.A$208.A2.A5.A2.A110.A$180.A17.A10.A2.A3.A2.A122.B3.B$179.A.A15.A.A10.
2A5.2A123.B3.B$179.A2.A13.A2.A142.B.B.B$180.A2.A11.A2.A143.B.B.B$181.
A2.A4.A4.A2.A145.B.B$182.A2.A2.A.A2.A2.A$183.A2.A2.A2.A2.A$184.A2.A3.
A2.A18.B2.B$185.2A5.2A19.B2.B$213.4B$213.B2.B$188.B2.B21.B2.B$188.B2.
B$188.4B$188.B2.B$188.B2.B!
Spaceships and puffers

Code: Select all

x = 1277, y = 229, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D$487.D
78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.
D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.
D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D
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D78.D17.3A6.3A41.D4.A.A35.A125.D95.D58.D49.3B112.D93.A2.A$21.2B464.D78.
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A2.A$487.D78.D19.A6.A43.D5.A.A32.A.A21.A103.D95.D58.D29.A19.3B20.A91.
D94.A.A$487.D78.D70.D6.3A29.5A9.3A8.3A102.D95.D58.D28.A20.B2.B20.A90.
D95.A$.3B11.B24.B446.D78.D70.D6.2A30.A2.A11.A114.D95.D58.D27.A21.B2.B
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3A8.A.A102.D95.D58.D26.A22.3B23.A38.B7.B2.B2.B35.D97.A$.3B4.4B3.3B7.B
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3B36.D$.B2.B10.B2.B.3B2.4B.B2.B.B2.B.B.B2.B.4B436.D78.D70.D7.A.A30.3A
9.A.A8.3A102.D95.D58.D114.B7.B2.B2.B35.D$.B2.B3.4B3.B2.B6.B4.B2.B.B2.
B.B.B2.B.B439.D78.D70.D6.A.A.A28.A.A.A124.D95.D58.D115.3B3.B3.B2.B35.
D$.3B12.2B8.3B.B2.B2.3B.B.B2.B2.3B436.D78.D70.D5.A2.A29.A.A.A.A7.3A113.
D95.D58.D164.D$38.B448.D78.D70.D4.4A32.A.A125.D95.D58.D164.D$35.B2.B448.
D78.D21.3B46.D5.2A34.A26.B3.B95.D95.D58.D164.D$36.2B449.D78.D21.B2.B45.
D38.A29.B3.B95.D95.D58.D164.D$487.D78.D21.3B46.D37.3A17.B3.B6.B.B.B95.
D95.D58.D164.D$487.D78.D21.B2.B45.D38.A.A16.B3.B6.B.B.B95.D95.D58.D164.
D$5B10.5B.B18.B4.3B439.D78.D21.B2.B45.D12.B3.B21.5A14.B.B.B7.B.B96.D95.
D58.D164.D96.3B$2.B14.B3.B18.B4.B2.B.B436.D78.D70.D12.B3.B22.A2.A14.B
.B.B106.D95.D58.D164.D95.B$2.B5.4B5.B3.B9.2B3.2B2.B4.B2.B438.D78.D70.
D12.B.B.B22.A2.A15.B.B107.D95.D58.D164.D95.B$2.B14.B3.3B3.2B4.B.B4.3B
2.3B2.B2.2B432.D78.D70.D12.B.B.B30.B3.B116.D95.D58.D164.D95.B$2.B5.4B
5.B3.B2.B.B4.3B2.2B2.B2.B.B2.B.B.B2.B254.21D156.D33.26D19.D26.27D17.D
13.B.B31.B3.B21.21D74.D30.21D44.D11.28D19.D74.35D55.D96.3B$2.B14.B3.B
2.B.B3.B2.B4.B.B2.B.B2.B.B.B2.B254.D19.D156.D33.D24.D19.D26.D25.D17.D
47.B.B.B21.D19.D74.D30.D19.D44.D11.D26.D19.D74.D33.D55.D$17.B3.B2.B.B
4.3B.3B2.B2.B.3B2.B.B2.B254.D11.D7.D156.D33.D16.D7.D19.D26.D16.D8.D17.
D47.B.B.B21.D11.D7.D74.D30.D11.D7.D44.D11.D11.D14.D19.D74.D20.D12.D55.
D77.D$310.D11.D2.2D3.D156.D33.D3.2D11.D.4D2.D19.D26.D3.2D11.D.5D2.D17.
D48.B.B22.D11.D2.2D3.D74.D30.D11.D.D2.D2.D44.D11.D11.D.5D5.D2.D19.D74.
D3.D3.2D11.D2.2D3.2D3.D55.D60.D3.2D11.D2.2D3.2D$310.D3.3D4.D2.D2.D2.D
156.D33.D2.D2.D2.3D4.D5.D2.D19.D26.D2.D2.D2.3D4.D2.D6.D17.D73.D3.3D4.
D2.D2.D2.D74.D30.D3.3D4.D2.D2.D2.D44.D11.D3.3D4.D2.D9.D2.D19.D74.D2.2D
2.D2.D2.3D4.D2.D2.D.D2.D2.D55.D59.2D2.D2.D2.3D4.D2.D2.D.D2.D7.D21.D31.
D$310.D2.D3.D3.D5.D2.D156.D33.D5.D.D3.D3.D5.D2.D19.D26.D5.D.D3.D3.D2.
4D3.D17.D73.D2.D3.D3.D5.D2.D74.D30.D2.D3.D3.D2.D2.D2.D44.D11.D2.D3.D3.
D2.4D3.4D2.D19.D74.D3.D2.D2.D.D3.D3.D2.D2.D.D5.D55.D60.D2.D2.D.D3.D3.
D2.D2.D.D10.D5.2D2.2D3.2D5.D2.2D3.2D6.2D2.2D3.2D5.D$31.B74.205D2.D6.D
5.D3.192D4.D2.D6.D5.D3.48D4.D2.D6.D7.D2.93D2.D6.D5.D3.107D2.D6.D3.4D2.
58D2.D6.D7.D.D3.D2.96D3.D3.2D2.D6.D4.2D2.3D3.112D5.D3.2D2.D6.D4.2D2.3D
8.3D2.D3.D2.D.D2.D2.3D.D2.D.D7.D3.D2.D.D2.D2.3D$14.B3.B5.B6.B4.B273.D
2.D6.D4.D4.D156.D33.D5.D.D6.D4.D4.D19.D26.D3.D3.D6.D7.D2.D17.D73.D2.D
6.D6.D2.D74.D30.D2.D6.D6.D2.D44.D11.D2.D6.D7.D.D3.D2.D19.D74.D3.D2.D2.
D.D6.D3.D2.D.D2.D2.D55.D60.D2.D2.D.D6.D3.D2.D.D2.D7.D2.D.D3.4D.4D.D2.
D.4D.D8.D2.4D.4D.D2.D$.B3.B8.B3.B12.B4.2B272.D2.D3.D.D4.D5.D156.D33.D
2.D2.D.D3.D.D5.D4.D19.D26.D2.D4.D3.D.D4.D3.D2.D17.D73.D2.D3.D.D4.D2.D
2.D74.D30.D2.D3.D.D7.D2.D44.D11.D2.D3.D.D4.D3.D.D3.D2.D19.D74.D3.D2.D
2.D.D3.D.D4.D2.D.D2.D2.D55.D60.D2.D2.D.D3.D.D4.D2.D.D2.D7.D2.D.D3.D4.
D4.D2.D.D4.D9.D.D4.D4.D2.D$.B3.B2.4B2.B3.B2.2B.B2.3B.3B2.B273.D3.3D2.
D4.4D2.D156.D33.D3.2D3.3D2.D5.D4.D19.D26.D2.4D2.3D2.D5.3D3.D17.D73.D3.
3D2.D5.2D3.D74.D30.D3.3D2.D7.D2.D44.D11.D3.3D2.D5.3D3.4D2.D19.D74.D2.
3D2.2D3.3D2.D5.2D3.2D3.D55.D59.3D2.2D3.3D2.D5.2D3.2D9.2D2.D4.3D2.3D2.
2D3.3D.D7.2D3.3D2.3D2.2D$.B.B.B8.B.B.B.B3.B.B2.B.B2.B.B273.D19.D156.D
33.D24.D19.D26.D25.D17.D73.D19.D74.D30.D19.D44.D11.D26.D19.D74.D33.D55.
D$.B.B.B2.4B2.B.B.B.B3.B.B2.B.B2.B.B273.D19.D156.D33.D24.D19.D26.D25.
D17.D73.D19.D74.D30.D19.D44.D11.D26.D19.D74.D33.D55.D$2.B.B10.B.B2.B3.
B2.3B.B2.B2.B272.21D156.D33.26D19.D26.27D17.D73.21D74.D30.21D44.D11.28D
19.D74.35D55.D$29.B457.D78.D70.D168.D95.D58.D164.D$26.B2.B457.D78.D70.
D168.D95.D58.D164.D$27.2B458.D78.D70.D168.D95.D58.D164.D$58.B27.B400.
D78.D70.D168.D95.D58.D164.D$57.B29.B399.D78.D70.D168.D95.D58.D164.D$2.
3B10.3B6.B17.B14.B4.B7.B11.B.B2.B399.D78.D70.D168.D95.D58.D164.D$.B6.
4B2.B5.2B2.2B2.2B12.B7.2B5.B4.B2.2B2.B.B.2B7.B.2B.B399.D78.D70.D168.D
95.D58.D164.D$.B12.B7.B.B5.B2.3B2.2B2.B.B2.B.B2.B4.B2.3B.B2.B.B5.B.B2.
B.B.B2.B399.D78.D70.D168.D95.D58.D164.D$.B6.4B2.B5.3B.B3.3B.B2.B.B2.B
.B.B2.B.4B4.B.B2.B.4B.2B2.3B.B2.B.B.B2.B399.D78.D70.D168.D95.D58.D164.
D$2.3B9.B4.B2.B.B2.B2.B.B2.B.B2.B.B.B2.B.B7.B.B2.B.B4.B2.B2.B.B2.B.B.
B2.B399.D78.D70.D168.D95.D58.D164.D$15.3B2.3B2.B2.3B2.3B2.2B2.B2.2B3.
3B4.B2.2B3.3B.B3.3B2.2B2.B2.B.B399.D78.D70.D168.D95.D58.D164.D$35.B21.
B29.B399.D78.D70.D168.D95.D58.D164.D$32.B2.B22.B27.B400.D78.D70.D168.
D95.D58.D164.D$33.2B279.A10.A161.D78.D70.D168.D95.D58.D164.D$314.2A8.
2A161.D78.D70.D168.D95.D58.D164.D$314.A.A6.A.A161.D78.D70.D168.D95.D58.
D164.D$487.D78.D70.D168.D95.D58.D164.D$314.3A2.2A2.3A161.D78.D70.D168.
D95.D58.D164.D$314.A3.4A3.A161.D78.D70.D168.D95.D58.D164.D$314.A3.4A3.
A161.D78.D70.D168.D95.D58.D164.D$315.3A4.3A162.D78.D35.A34.D168.D95.D
58.D24.A54.A84.D$487.D78.D34.3A33.D168.D95.D58.D23.A.A52.A.A83.D$487.
D78.D35.A34.D168.D95.D58.D22.A3.A50.A3.A82.D$487.D78.D33.A.A.A32.D168.
D95.D58.D21.A5.A48.A5.A81.D$487.D78.D50.3B17.D168.D95.D58.D20.A7.A46.
A7.A80.D$487.D78.D33.A3.A11.B20.D168.D95.D58.D19.A9.A44.A9.A79.D$487.
D78.D34.3A12.B20.D168.D95.D58.D18.A11.A20.3B19.A11.A78.D$487.D78.D49.
B20.D168.D95.D58.D17.A13.A18.B21.A13.A77.D$487.D78.D50.3B17.D168.D95.
D58.D18.A11.A19.B22.A11.A78.D$487.D78.D70.D168.D95.D58.D19.A9.A20.B23.
A9.A79.D$487.D78.D70.D168.D95.D58.D20.A7.A22.3B21.A7.A80.D$487.D78.D35.
A.A32.D168.D95.D58.D21.A5.A48.A5.A81.D$487.D78.D35.A.A32.D168.D95.D58.
D22.A3.A50.A3.A82.D$487.D78.D35.A.A32.D168.D95.D58.D23.A.A52.A.A83.D$
487.D78.D35.3A32.D168.D95.D58.D24.A54.A84.D$487.D78.D70.D168.D95.D58.
D164.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.
D$487.D78.D70.D168.D95.D58.D38.A26.A98.D$487.D78.D70.D168.D95.D58.D37.
A.A24.A.A97.D$487.D78.D70.D168.D95.D58.D35.4A.A22.A.4A95.D$487.D78.D70.
D168.D95.D58.D34.A4.A24.A4.A94.D$487.D78.D70.D168.D95.D58.D33.3A.2A26.
2A.3A93.D$487.D78.D70.D168.D95.D58.D32.A.2A32.2A.A92.D$487.D78.D70.D168.
D95.D58.D31.A.2A.2A28.2A.2A.A91.D$487.D78.D70.D168.D95.D58.D32.A2.A3.
A24.A3.A2.A92.D$487.D78.D70.D168.D95.D58.D33.4A30.4A93.D$487.D78.D70.
D168.D95.D58.D35.A32.A95.D$487.D78.D70.D168.D95.D58.D36.A30.A96.D$487.
D78.D70.D168.D95.D58.D37.2A26.2A97.D$487.D78.D70.D168.D95.D58.D38.A.A
22.A.A98.D$487.D78.D70.D168.D95.D58.D38.A26.A98.D$487.D78.D70.D168.D95.
D58.D164.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D
164.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D
$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D$487.
D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D39.A24.A99.D$487.
D78.D70.D168.D95.D58.D38.3A22.3A98.D$487.D78.D70.D168.D95.D58.D37.A.A
24.A.A97.D$487.D78.D70.D168.D95.D58.D36.A2.A24.A2.A96.D$487.D78.D70.D
168.D95.D58.D35.A2.A26.A2.A95.D$487.D78.D70.D168.D95.D58.D34.4A12.A2.
A12.4A94.D$487.D78.D70.D168.D95.D58.D35.A15.2A15.A95.D$487.D78.D70.D168.
D95.D58.D36.A4.2A18.2A4.A96.D$487.D78.D70.D168.D95.D58.D37.A2.2A.A2.2A
8.2A2.A.2A2.A97.D$487.D78.D70.D168.D95.D58.D38.A.3A.A14.A.3A.A98.D$487.
D78.D70.D168.D95.D58.D39.3A.A16.A.3A99.D$487.D78.D70.D168.D95.D58.D40.
A22.A100.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D
164.D$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D
$487.D78.D70.D168.D95.D58.D164.D$487.D78.D70.D168.D95.D58.D164.D$487.
D78.D70.D168.D95.D58.D39.A24.A99.D$487.D78.D70.D168.D95.D58.D38.3A22.
3A98.D$487.D78.D70.D168.D95.D58.D37.A.A.A20.A.A.A97.D$487.D78.D70.D168.
D95.D58.D36.A2.A2.A18.A2.A2.A96.D$487.D78.D70.D168.D95.D58.D35.A2.A4.
A16.A4.A2.A95.D$487.D78.D70.D168.D95.D58.D34.4A6.A14.A6.4A94.D$487.D78.
D70.D168.D95.D58.D35.A6.4A12.4A6.A95.D$487.D78.D70.D168.D95.D58.D36.A
4.A2.A14.A2.A4.A96.D$487.D78.D70.D168.D95.D58.D37.A2.A2.A16.A2.A2.A97.
D$487.D78.D70.D168.D95.D58.D38.A.A.A18.A.A.A98.D$487.D78.D70.D168.D95.
D58.D39.3A20.3A99.D$1002.A22.A!
Conduits
A few of these have their inputs and/or outputs labeled "DW", which stands for "double whammy". A double whammy can be arranged lengthwise (L) or widthwise (W).

Code: Select all

x = 1166, y = 1222, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
337.281D$337.D279.D$337.D279.D$337.D279.D$337.D279.D$337.D279.D$337.D
279.D$337.D279.D$337.D279.D$337.D279.D$337.D279.D$337.D150.D5.D45.D5.
D70.D$337.D149.D7.D43.D7.D69.D$337.D29.D3.D46.5D.D3.D46.3D2.D3.D2.D.D
3.D.D31.3D2.D3.D2.D2.D4.D30.D3.D34.D$337.D29.D3.D48.D3.D3.D46.D2.D.D
3.D2.D.D3.D.D31.D2.D.D3.D2.D2.D4.D31.D.D35.D$337.D29.D.D.D48.D3.D.D.D
46.D2.D.D.D.D2.D.D.D.D.D31.D2.D.D.D.D2.D2.D4.D32.D36.D$337.D29.D.D.D
48.D3.D.D.D46.D2.D.D.D.D2.D.D.D.D.D31.D2.D.D.D.D2.D2.D4.D31.D.D35.D$
337.D30.D.D49.D4.D.D47.3D3.D.D3.D2.D.D2.D31.3D3.D.D3.D2.3D2.D30.D3.D
34.D$337.D150.D5.D45.D5.D70.D$337.D279.D$337.D279.D$337.D279.D$337.D
279.D$337.D80.2B197.D$337.D79.4B196.D$337.D79.5B195.D$337.D32.3B2.2B
40.5B108.2B85.D$337.D31.9B38.6B107.5B83.D$337.D31.9B37.8B106.6B82.D$
337.D31.9B37.9B105.6B82.D$337.D30.10B.3B32.11B103.8B81.D$337.D29.16B
30.13B101.10B45.B34.D$337.D29.17B29.13B10.2B89.12B42.3B33.D$337.D28.
19B27.14B9.5B86.14B40.5B32.D$337.D27.21B25.15B.2B6.6B84.15B39.7B31.D$
337.D27.21B24.14B2.4B5.6B84.16B37.9B30.D$337.D26.22B22.22B4.8B46.2B
34.17B36.11B29.D$337.D25.22B22.25B.10B44.5B31.17B36.6BC6B28.D$337.D
24.27B16.40B42.6B29.15B38.6BCBC6B27.D$337.D22.30B14.42B41.6B27.16B40.
6BC6B28.D$337.D21.31B11.16B3C15B3C8B40.8B25.16B42.11B29.D$337.D19.32B
11.17BC2BC14BC2BC8B38.10B22.19B42.9B30.D$337.D18.33B11.17BC2BC14BC2BC
8B38.12B19.20B43.7B31.D$337.D15.16B3C18B11.17B3C15B3C7B38.14B15.16B3C
7B41.5B32.D$337.D14.17BC2BC17B11.42B40.4B3C8B14.17BC2BC6B9.2B31.3B33.
D$337.D14.17BC2BC17B12.40B41.4BC2BC8B13.17BC2BC7B7.5B30.B34.D$337.D
14.18B3C16B15.10B.25B42.5BC2BC8B14.17B3C2BD6B5.6B64.D$337.D15.33B19.
8B4.22B42.7B3C7B15.21BDBD5B5.6B64.D$337.D15.32B21.6B5.4B2.14B43.15B
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15.27B29.2B10.5BC2BC4B41.16B27.6B5.5BDBD21B59.D$337.D19.22B42.6B3C4B
40.15B29.6B5.6BD2B3C17B59.D$337.D18.22B44.11B38.7B3C7B31.5B7.7BC2BC
17B58.D$337.D18.21B46.9B38.8BC2BC5B34.2B9.6BC2BC17B58.D$337.D18.21B
47.8B38.8BC2BC4B46.7B3C16B59.D$337.D19.19B49.6B40.8B3C4B49.20B62.D$
337.D20.17B50.5B41.14B50.19B63.D$337.D21.16B50.5B42.12B52.16B65.D$
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105.5B48.16B71.D$337.D141.2B50.15B71.D$337.D193.14B72.D$337.D194.12B
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$337.D199.5B75.D$337.D201.2B76.D$337.D279.D$337.D279.D$337.D279.D$
337.D279.D$337.D279.D$337.D279.D$337.D279.D$337.281D74$1042D52$412.D
3.D3.D5.D3.D79.D3.D3.D5.D3.D$412.D3.D4.D4.D3.D79.D3.D4.D4.D3.D$412.D.
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3D4B84.10B6.A2.A59.11B6.A2.A2.3B.10B2.A11.A2.A2.2B2.6B$195.10B111.D2B
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10B79.14B8.6B50.15B.2B4.25B2.6B3.15B$117.2B73.17B107.9B78.15B.2B4.7B
49.15B.4B3.26B.6B3.15B$116.5B70.17B2.2A5.A99.9B76.15B.4B3.7B47.22B2.
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$114.10B61.19B8.A5.A97.12B68.38B7.F30.16B3C69B3D$114.12B58.20B9.A7.2B
94.12B64.16B3C24B3D32.17BC2BC68BD2BD$113.14B54.16B3C7B4.BA2.9B90.2A2.
10B64.17BC2BC23BD2BD31.17BC2BC68BD2BD$112.15B53.17BC2BC7B.2BA11B3D87.
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45B35.88B$110.17B2.2A50.29BA11B3D88.A2.12B66.43B39.9B.73B$109.15B4.A
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107.16B6.A2.A51.10B.15B.BA98.19B67.8B4.6B3.6B3.6B44.6B5.4B.2B2.4B.2B.
5B.2B2.4B.2B2.4B.2B2.4B.2B2.4B.2B2.4B.2B$106.16B8.A.A52.8B4.14B2.A4.A
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11.A2.A5.A2.A5.A2.A49.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A7.2A$99.17BC2BC7B
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15B3C4B2.A93.5B5.8B$100.17B3C8BA7B3D54.20B2.A95.3B2.A3.9B$100.29BA7BD
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15B.BA2.B59.17B.A2.A100.A2.A.7B$104.8B4.14B2.A60.18B2.2A102.2A3.4B$
105.6B5.15B2.A56.7B3C10B$105.6B2.12B3C4B2.A54.8BC2BC8B$106.5B.13BC2BC
4B2.A53.8BC2BC7B$108.2B2.13BC2BC5B2.A53.8B3C4B.B$111.15B3C4B2.A54.14B
$112.20B2.A56.12B$113.18B2.A.A57.10B$114.16B2.A2.A58.8B$113.17B.A2.A
60.6B$112.18B2.2A61.6B319.D5.D$109.7B3C10B67.5B318.D7.D$108.8BC2BC8B
70.2B251.D5.D49.3D2.D3.D2.D2.D4.D3.D5.D3.D$108.8BC2BC7B323.D7.D48.D2.
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16B$431.6B2.A2.AB3.A2.A76.5B.11B$426.2B2.8B2.A.A3B2.A2.A69.2A3.7B.11B
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425.15B3.5B2.A68.A2.A2.20B168.D.D.D5.D3.D.D.D$424.5B.11B.6B3.A66.A2.A
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6.D.D$422.28B3.A62.A2.A2.16BC2BC10B$420.31B3.A.2A58.A.A2.17BC2BC11B$
419.32B4.A2.A58.A2.19B3C12B$417.3D24B3C7B2.A2.A59.36B70.D3.D3.D5.D3.D
$417.D2BD23BC2BC7B2.A.A58.38B69.D3.D4.D4.D3.D296.D3.D3.D5.D3.D$417.D
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3.D5.D3.D120.D.D.D4.D4.D.D.D$128.D3.D.D.D5.D4.D3.D.D.D267.35B63.26B3C
2B249.D3.D4.D4.D3.D121.D.D4.D6.D.D$128.D3.D.D.D4.D5.D3.D.D.D268.34B
65.B2.21BC2BC2B248.D.D.D5.D3.D.D.D$128.D4.D.D4.D6.D4.D.D271.7B2.23B
70.19BC2BC2B248.D.D.D4.D4.D.D.D$426.6B3.23B68.A2.19B3CB250.D.D4.D6.D.
D$426.3D3B3.23B67.A.A2.21B2.A$426.D2BDB6.20B68.A2.A2.8B.6B2.2B2.A.A$
426.D2BD8.18B2.A67.A2.A.9B.5B5.A2.A$427.3D8.17B2.A.A67.2A3.8B2.3B6.A.
A$425.F15.13B2.A2.A72.9B2.B8.A$441.12B2.A2.A72.11B$442.10B2.A2.A74.
11B$252.D3.D3.D6.2D2.D3.D54.D3.D3.D5.D3.D94.8B4.2A72.B3.11B$252.D3.D
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6.D.D93.A2.8B71.25B159.2A.A2.A273.4BD2BDB$440.A.A2.6B71.27B157.A2.A4.
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2B16.2B62.6B2.A4.2A5.B4.2A73.5B166.20B$175.B352.16B83.4B14.4B60.8B2.A
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5B2.A2.A71.6B161.26B$165.A8.3B2.B4.D2BD2B342.10B85.5B13.5B58.11B2.A.A
.A2.6B2.A.A70.8B159.27B$164.A.A6.8B2.BD2BD3B342.4B3D2B84.6B12.6B57.
13B2.A.A2.8B2.A70.10B158.27B$164.A2.A5.12B3D3B342.4BD2BDB83.8B10.8B
56.14B.B3.10B2.A69.12B157.25B$128.2B35.A.A5.19B343.2BD2BD84.9B9.9B54.
31B2.A67.14B157.2B.20B$127.5B34.A5.20B344.2B3D83.11B7.11B52.31B2.A67.
15B160.19B$127.6B25.2A3.2B3.25B430.13B5.13B50.31B2.A68.16B160.3B2.12B
$127.6B24.A2.A.31B430.13B5.13B48.34B2.A59.2A5.17B161.B3.11B$126.8B22.
A2.A2.32B428.14B4.14B47.36B2.A.A55.A2.A.19B165.11B$125.10B21.A.A2.14B
3D15B3D425.15B.17B.2B42.39B2.A.A53.A2.A2.16B167.11B$125.12B15.A4.A2.
15BD2BD14BD2BD423.14B2.16B2.4B40.40B2.A2.A52.A.A2.16B169.9B$124.14B
13.A.A5.16BD2BD14BD2BD421.40B37.16B3C24B.A2.A54.A2.16B165.2A3.8B$123.
15B12.A3.A3.18B3D15B3D420.43B34.17BC2BC23B.A.A54.A2.18B2.2B159.A2.A.
9B$123.16B12.A3.A.40B418.46B33.17BC2BC23B2.A54.A2.24B157.A2.A2.8B$
122.17B5.A7.A.A2.40B417.47B7.F26.17B3C23B56.A2.13B3C10B104.3D49.A.A2.
9B$121.17B4.2A.A7.A2.40B415.16B3C15B3D15B3D29.43B55.A2.14BC2BC9B103.D
2BD50.A2.B3D7B$120.15B6.A3.A9.40B415.17BC2BC14BD2BD14BD2BD29.41B55.A
3.14BC2BC9B97.B2.2B.D2BDB42.A8.BD2BD7B$118.16B6.A3.A3.B4.41B140.3D2B
271.17BC2BC14BD2BD14BD2BD31.10B.27B57.A2.15B3C8B97.7B3D3B40.A.A2.B2.
3BD2BD6B$117.16B8.A.A3.3B2.42B140.D2BD2B271.17B3C15B3D15B3D32.8B4.25B
2.2B54.A2.24B2.A94.14B39.A2.A.7B3D6B$115.19B8.A3.38B.5B.2B57.3D2B78.B
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17B38.A2.16B$111.16B3C7B4.BA2.20B2.15B2.A64.BD2BD4B75.10B273.46B39.5B
3.7B3.23B53.A.A22B2.A3.A89.20B38.17B$110.17BC2BC7B.2BA22B3.14B2.A.A
63.2B3D4B74.14B270.36B2.7B42.2B5.5B2.A4.20B52.A2.BA22B2.A3.A88.21B36.
20B$110.17BC2BC9BA21B5.6B.6B2.A3.A62.10B72.16B270.16B2.16B3.6B51.3B2.
A.A.A4.16B54.A2.BA22B2.A.A89.20B2.2A33.21B$111.17B3C8BA20B8.4B3.4B2.A
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20B.A2.A32.20B2.2A$111.29BA16B2.A.A7.2B9.A2.A63.16B64.24B172.D5.D23.D
5.D58.14B2.A2.13B2.A2.4B57.A5.A3.13B2.A.A47.4B2.A2.24B92.3B.16B2.A2.A
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15BA.A2.13BA.A2.2B59.A3.A3.12B3.A2.A46.6B3.26B81.9D.19B2.A2.A32.3B.
16B2.A2.A$114.10B.15B.BA2.11B.A4.A80.24B59.27B157.3D2.D3.D2.D2.D4.D3.
D5.3D2.D3.D2.D2.D4.D56.F.B2.10BAB2.A3.10BAB2.A63.A.A2.13B5.A2.A45.6B
3.26B81.D7.D19B4.A2.A21.9D.19B2.A2.A$115.8B2.B.14B2.A2.9B3.2A.A80.26B
58.27B157.D2.D.D3.D2.D2.D4.D4.D4.D2.D.D3.D2.D2.D4.D62.10BAB2.A3.10BAB
2.A63.A2.18B2.A.A44.7B2.27B81.D3.2A2.D19B5.A.A21.D7.D19B4.A2.A$116.6B
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24B24.D2.D2.DBD23B2.A$117.5B.13BC2BC4B2.A5.A90.25B61.19B162.3D3.D.D3.
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19B67.11B3.B375.4B.17B40.D2BD33B2.A.2A80.9D2.23B23.D7.D.25B$123.20B2.
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124.18B2.A.A3.2A95.11B3.B71.11B383.10B2.3B42.3D31B2.A91.26B2.A2.A26.
26B2.2A$125.16B2.A2.A101.11B15.2B58.9B386.7B4.B48.28B2.A91.26B2.A2.A
26.26B2.A2.A$124.17B.A2.A103.11B13.4B58.8B3.2A175.A205.6B54.27B2.A92.
25B4.2A26.26B2.A2.A$123.18B2.2A105.9B13.6B57.9B.A2.A173.A.A204.3D3B
55.25B2.A92.29B.2B26.25B4.2A$120.7B3C10B111.8B3.2A8.6B58.8B2.A2.A171.
A2.A9.2A193.D2BDB58.17B.4B2.A92.32B26.29B.2B$119.8BC2BC8B112.9B.A2.A
8.5B58.9B2.A.A171.A.A2.2B2.2B.A2.A192.D2BD62.14B3.B2.A92.34B24.32B$
119.8BC2BC7B114.8B2.A2.A5.8B56.7B3CB2.A173.A2.7B2.A2.A10.F181.3D61.
14B2.A3.A94.32B24.34B$120.8B3C4B.B115.9B2.A.A4.10B55.7BC2BCB8.A168.B
3C5B2.2A6.3D248.13B2.A.A.A96.30B26.32B$120.14B117.7B3CB2.A4.12B55.6BC
2BC3B2.B2.A.A166.2BC2BC5B9.D2BD181.F65.12B2.A3.A98.29B27.30B$121.12B
118.7BC2BCB7.11B56.6B3C7B.A2.A165.2BC2BC6B7.BD2BD248.10B2.A104.29B27.
29B$123.10B119.6BC2BC3B2.B3.10B57.16B.A.A166.2B3C7B5.3B3D249.8B2.A
106.29B27.29B$124.8B121.6B3C7B2.11B56.16B2.A167.13B4.6B249.7B2.A.A
106.29B27.29B$125.6B123.30B55.16B167.16B2.7B251.4B2.A2.A107.29B27.29B
$125.6B123.30B56.16B165.28B250.2B2.A2.A108.28B29.29B$126.5B124.30B57.
14B164.20B3A7B254.2A109.27B30.28B$128.2B126.30B57.13B165.29B7.F358.
25B31.27B$258.24B3DB58.2B2.3B.3B167.12B3C4BA10B3D359.A2.22B34.25B$
259.23BD2BD67.B169.11BC2BC14BD2BD357.A.A2.20B2.A30.A2.22B$260.2B2.18B
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5B3C15B3D356.A2.A3.17B2.A2.A28.A2.A20B2.A.A$267.17B242.B4.17BA5B359.A
2.A3.15B2.A2.A28.A2.A3.17B2.A2.A$268.13B250.15BABA4B361.2A5.13B2.A.2A
30.A2.A3.15B2.A2.A$269.11B252.16BA2B371.11B2.A35.2A5.13B2.A.2A$270.9B
252.11B.7B373.8B3.A.A42.11B2.A$271.8B253.11B.5B374.9B.A2.A43.8B3.A.A$
272.7B254.15B376.8B2.A2.A42.9B.A2.A$273.5B253.A2.14B376.9B2.A.A43.8B
2.A2.A$274.3B253.A.A2.8B2.2B376.7B3CB2.A44.9B2.A.A$530.A2.A2.6B381.7B
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532.A2.A2.3B384.6B3C7B.A2.A35.6BC2BC3B2.B2.A.A$533.2A4.B386.16B.A.A
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930.14B41.16B$931.13B43.14B$132.5D.D3.D3.D4.5D.D3.D539.2A229.2B2.3B.
3B45.13B$134.D3.D3.D4.D5.D3.D3.D535.2A.A2.A237.B47.2B2.3B.3B$134.D3.D
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4.2A$644.A2.A2.4B9.8B10.8B3.15B2.A.2A2.A3.4B.A2.A$644.A.A2.7B7.9B9.9B
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13B5.31B2.A.A2.8B2.A$639.A3.A2.12B3.13B5.31B2.B3.10B2.A$638.A.A.A2.
13B2.14B4.49B2.A$637.A3.A2.14B.15B.51B2.A$636.A2.B3.14B.14B2.51B2.A$
635.A2.4B.83B2.A$634.A2.90B2.A.A$117.2B35.2B3.2A472.A2.92B2.A.A$116.
5B32.4B.A2.A470.A2.93B2.A2.A$116.6B25.2A3.5B2.A2.A282.B4.2A11.B4.2A
11.B4.2A11.B4.2A11.B4.2A107.A2.49B3C42B.A2.A$116.6B24.A2.A.7B2.A.A
281.3B2.A2.A9.3B2.A2.A9.3B2.A2.A9.3B2.A2.A9.3B2.A2.A105.A2.50BC2BC41B
.A.A$115.8B22.A2.A2.8B2.A282.4B2.A2.A8.4B2.A2.A8.4B2.A2.A8.4B2.A2.A8.
4B2.A2.A6.2A92.2A.A2.51BC2BC41B2.A$114.10B21.A.A2.10B2.A280.6B2.A2.A
6.6B2.A2.A6.6B2.A2.A6.6B2.A2.A6.6B2.A2.AB3.A2.A90.A2.A2.53B3C41B$114.
12B15.A4.A2.12B2.A274.2B2.8B2.A.A.2B2.8B2.A.A.2B2.8B2.A.A.2B2.8B2.A.A
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2.A.A2.2A264.16B3.15B3.15B3.15B3.15B3.5B2.A90.A2.98B$112.16B12.A3.A.
18B4.A3.A263.5B.11B.5B.11B.5B.11B.5B.11B.5B.11B.7B2.A91.99B2.2B$111.
17B5.A7.A.A2.21B2.A.A258.2A3.7B.17B.17B.17B.37B2.A90.26B2.16B2.16B.
17B.18B.4B$110.17B4.2A.A7.A2.23B2.A258.A2.A2.100B2.A89.26B3.15B3.15B
3.15B.24B$109.15B6.A3.A9.25B259.A2.A2.102B2.A.2A86.24B2.A2.13B2.A2.
13B2.A2.4B.8B3.23B$107.16B6.A3.A3.B4.29B256.A2.A2.104B2.A2.A83.A2.24B
A.A2.13BA.A2.13BA.A2.2B4.5B2.A4.20B$106.16B8.A.A3.3B2.31B254.A2.A2.
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10BAB2.A11.A3.A.A4.14B2.A94.D7.D7.D3.D$103.20B9.A.37B254.A.A2.110B2.A
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.D3.D.D11.D$100.16B3C7B4.BA2.37B255.A2.112B85.A3.A.21B2.A11.4B2.A11.
4B2.A15.A3.A3.12B3.A2.A67.D3.D4.D4.D2.D.D3.D2.D.D3.D.D3.D5.2D$99.17BC
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D.D.D2.D.D.D.D.D2.3D4.D$99.17BC2BC9BA26B4.12B255.115B86.A2.24B2.A51.A
2.18B2.A.A66.D.D.D4.D4.D2.D.D.D.D2.D.D.D.D.D3.D$100.17B3C8BA20B3.2B5.
13B255.115B88.26B2.A52.20B2.A68.D.D4.D5.3D3.D.D3.D2.D.D2.D9.D$100.29B
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$101.29BA14B2.A.A.A.A3.16B255.18B.15B4.14B4.14B4.14B3.23B87.27B2.A51.
23B$103.10B.15B.BA2.11B.A7.A2.18B255.32B5.13B5.13B5.13B3.23B87.26B2.A
52.23B$104.8B4.14B2.A2.9B3.2A.A.A2.A2.18B.B254.B2.27B6.12B6.12B6.12B
4.21B89.24B2.A54.22B$105.6B5.15B2.A2.7B6.A.A.A2.A2.20B258.25B7.11B7.
11B7.11B4.20B2.A88.22B2.A54.23B$105.6B2.12B3C4B2.A2.3B13.A3.A22B255.A
2.23B5.2A2.9B5.2A2.9B5.2A2.9B6.18B2.A.A88.20B2.A54.24B$106.5B.13BC2BC
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7B2.A5.16B2.A2.A88.19B2.A.A51.26B$108.2B2.13BC2BC5B2.A3.A.A12.A6.16B
256.A2.A2.8B.6B2.2B2.A.A2.A2.A.2B2.2B2.A.A2.A2.A.2B2.2B2.A.A2.A2.A.2B
2.2B2.A.A5.14B2.A2.A88.19B2.A2.A50.27B$111.15B3C4B4.A.A2.A20.13B259.A
2.A.9B.5B5.A2.A3.2A9.A2.A3.2A9.A2.A3.2A9.A2.A6.12B2.A2.A88.20B.A2.A
48.31B$112.20B2.A3.A2.A22.14B258.2A3.8B2.3B6.A.A15.A.A15.A.A15.A.A8.
11B3.2A89.18B4.2A48.32B$113.18B2.A.A3.2A24.14B262.10B.B8.A17.A17.A17.
A10.11B91.A2.17B54.33B$114.16B2.A2.A29.15B260.12B75.11B89.A.A2.15B56.
32B78.3D$113.17B.A2.A28.17B261.11B75.10B89.A3.A2.13B.4B53.31B78.D2BD$
112.18B2.2A28.18B258.B3.11B72.A2.9B3.2A85.AB2.A.13B.5B55.22B.BA3B77.B
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19B3.ABAB77.3B3D$108.8BC2BC8B34.3BD2BD12B255.20B68.A2.A2.8B2.A2.A82.
3BAB.22B55.5B.12B2.A2.BA77.6B$108.8BC2BC7B36.2BD2BD11B114.3D136.2B.
21B68.A2.A.9B2.A.A82.31B53.4B.13B2.A3.A75.8B$109.8B3C4B.B37.3B3D10B2.
A111.D3.D134.25B69.2A2.10B2.A83.32B56.15B2.A.A75.10B$109.14B40.15B2.A
.A91.5D.D3.D3.D8.D133.27B71.12B10.2B73.33B54.17B2.A74.4BA8B2.D$110.
12B40.15B2.A3.A92.D3.D3.D4.D5.2D134.27B72.13B2.B4.3B74.32B54.18B75.
14B.DBD$112.10B39.12B.2B2.A3.A93.D3.D.D.D5.D4.D136.26B73.16B2.7B71.
31B55.18B73.3D14B2DBD$113.8B38.13B5.A3.A94.D3.D.D.D4.D143.24B71.A3.
25B71.27B57.20B72.D2BD11B4D2BD$114.6B38.14B6.A.A95.D4.D.D4.D6.D133.A
6.20B71.A.A2.26B70.26B56.23B71.D2BD7B3CD2B2DBDBD$114.6B36.3D18B2.A
248.A.2A4.17B74.A2.AB.26B69.24B57.24B72.3D7BC2BCBD4BD$115.5B36.D2BD
18B249.A4.A.19B75.A.A28B69.23B56.26B77.5BC2BCBD3BD$117.2B37.D2BD18B
250.2A.A2.19B76.A2.26B2.A68.20B57.27B77.4BAB3CB3DB$157.3D18B252.A2.
22B76.26B2.A.A68.18B55.31B77.12B$162.14B256.24B74.28BA3.A67.18B54.32B
79.3B.BA3B$162.13B256.25B74.26B3.A3.A64.A2.17B54.33B82.ABAB$163.10B
257.25B76.24B5.A.A64.A.A2.15B56.32B81.A2.BA$165.7B259.23B2.A71.A4.22B
6.A64.A3.A2.13B.4B53.31B82.A3.A$165.6B261.23BA.A69.A.A3.22B72.AB2.A2.
12B.5B55.22B.BA3B83.A.A$165.3D3B262.20B.BA2.A68.A2.AB.22B72.BABA3.19B
55.19B3.ABAB85.A$165.D2BDB264.19B3.A.A69.A.A23B72.3BAB.22B55.5B.13B.A
2.BA$165.D2BD266.6B.11B4.A71.A2.18B2.B73.31B53.4B.13B2.A3.A$166.3D
267.3B2.14B76.19B76.32B56.15B2.A.A$295.B141.B2.16B74.21B75.33B54.17B
2.A$293.7B140.16B74.21B76.32B48.2A4.18B$292.9B140.14B76.19B77.31B48.A
2.A.20B$283.3B2.2B2.10B141.11B2.A71.A4.16B2.A76.27B50.A2.A2.19B$282.
20B132.A8.12BA.A69.A.A3.15B2.A.A75.26B51.A.A2.19B$282.19B132.A.A6.11B
.BA2.A68.A2.AB.11B5.A2.A75.24B54.A2.20B$282.18B133.A2.A3.14B2.A.A69.A
.A12B5.A2.A76.23B54.A2.22B$281.17B134.A3.A2.16B2.A71.A2.11B4.A2.A77.
22B54.A2.24B$280.21B132.A.A2.18B75.15B2.2A78.23B52.A2.26B$280.22B132.
A2.19B74.17B81.23B51.A2.27B$279.24B.2B2.2B123.A2.20B74.18B81.22B50.A
3.27B$278.33B123.A20B76.17B79.A2.20B52.A2.26B$253.2B2.3B3.D14.33B122.
A.19B2.A71.A4.14B79.A.A2.18B2.A51.A2.24B2.A68.B4.F$252.9B.DBD12.34B
118.A2.A2.20BA.A69.A.A3.13B80.A2.A4.14B2.A.A51.A2.22B2.A.A66.4B$252.
9BD3BD10.36B116.A.2A4.17B.BA2.A68.A2.AB.11B83.A2.A3.12B3.A3.A15.A2.4B
11.A2.4B11.A2.21B.A3.A64.4B3D$252.8BD5BD8.38B114.A4.A.19B3.A.A69.A.A
14B82.A.A2.13B3.A5.A13.A.A7B8.A.A7B8.A.A22B2.A3.A63.3BD2BD$248.3B.7BD
7BD3.42B115.2A.A2.19B4.A71.A2.14B82.A2.14B4.A.A3.A11.A2.BA10B3.A2.BA
10B3.A2.BA22B2.A3.A61.4BD2BDB$247.11BD9BD.44B.2B18.A94.A2.22B76.15B
84.16B4.A.A.A2.3B8.A2.BA10B3.A2.BA10B3.A2.BA22B2.A.A61.5B3D2B$246.11B
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24B2.A61.12B7.A$245.11BD13BD47B16.A2.A93.25B74.16B4.A2.A75.23B3.8B.4B
2.A2.13B2.A2.13B2.A2.24B64.10B7.A.A$244.13BD11BD49B16.A.A90.A2.24B76.
18B2.A2.A74.24B.15B3.15B3.15B3.26B63.9B7.A3.A15.2A3.4B$244.14BD9BD51B
16.A90.A.A2.22B2.A71.A4.17B2.A2.A74.4B.18B.17B.16B2.16B2.26B62.9B9.AB
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99B61.10B9.BABA12.A3.A2.8B$148.59D38.15BD5BD53B15.3B90.A2.A2.19B.BA2.
A68.A2.AB.19B2.A2.A77.98B2.A59.10B8.3BAB.3B6.B2.A.A2.10B$148.D57.D34.
20BD3BD56B12.5B90.A2.A2.18B3.A.A69.A.A22B2.A2.A75.98B2.A.A58.11B7.11B
3.3B2.A3.9B$148.D57.D33.22BDBD60B8.7B.B88.A2.A2.17B4.A71.A2.22B2.A.A
74.98B2.A2.A57.12B7.3B3D6B.5B5.8B$148.D57.D33.23BD62B6.11B88.A2.A2.
18B76.24B2.A75.97B2.A2.A57.12B2.A.A3.3BD2BD13B3.7B$148.D57.D34.87B3.
13B88.A2.A4.16B74.25B75.A2.96B2.A.2A59.10B2.A.A.A2.3BD2BD7B3D16B$148.
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$148.D57.D33.106B94.15B76.22B2.A72.A2.A.94B2.A64.10B2.A3.A2.14BD2BD
17B$148.D57.D33.107B93.14B2.A71.A4.19B2.A.2A69.A2.A2.93B2.A65.11B2.A.
A3.15B3D16B$134.28D44.D33.108B93.14BA.A69.A.A3.19B.A4.A69.A.A2.92B2.A
66.12B2.A3.34B$134.D26.D44.D34.84BE23B93.11B.BA2.A68.A2.AB.17B4.2A.A
71.A.A2.90B2.A66.14B3.18B3.14B$134.D26.D44.D37.80BEBE21B2.2A88.13B3.A
.A69.A.A20B2.A2.A75.A2.83B.4B2.A66.34B3.A2.12B$116.5D.D3.D3.D5.D3.D3.
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14B3.B2.A66.16B3D15B3.A.A2.11B$118.D3.D3.D4.D4.D3.D4.D5.D3.D3.D46.D
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238.A2.3BC5B245.A.A4.9B.A2.A8.A73.A5.A.A.A8.9B2.A84.A.A7.A7.8B103.A3.
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287.A.A143.A3.A.14B8.A.A82.A4.A.12B66.BABA11BA20BA6B110.A2.A.4B3A18B
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9B267.6B5.20B2.9B3.2A129.7B2.A2.18B4.5B38.A.A4.5B5.6B2.B4.2B8.7B61.A.
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.A$48.13B3D261.3BC38BCB2.A2.A126.3BA38BAB.A2.A32.A38BA3B66.12B.A4.A
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3AB3.A3.A$52.B128.19B.4B4.A2.4B3.2B3.2A130.A2.A.12B158.A4.A10B4.A21.
2B.10B2.A.A5.A.A.A3.A88.B2A3B8.A7.A.A2.2B6.A134.A5.A3.A2.A10.2B5AB.A
3.A$180.26B5.11B.A2.2A127.A2.A3.12B156.A4.A.12B23.14B.A3.A9.A.A90.2BA
2B8.A3.A2.A4.4B4.A.A132.A.A3.A3.A2.A.A6.2A2.2B5A2.A.A$180.40BCB2.A3.A
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8B6.A2.A119.A8.A3.A5.A4.A3.A4.A2.A.3BABABA$176.A5.19B3C16BC3B2.A131.A
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2BA3B2.B4.2B8.2BA3BA$175.A3.A.8B7.A3.A2.11B4.7B129.A2.A2.11B157.A3.A
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12B2.3B.2BA3BA$176.A.A2.7B2.A4.A.A.A.A4.6B6.8B127.A2.A2.13B157.A3.A2.
11B6.A15.A3.A.13B.A3.A99.11B3A2B3A18B3A4B.A2.A110.6BA20BA11BABAB$177.
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12B2.A.A100.12BA3BA2BA19B2A3B2.A2.A107.7B3A18B3A11BA2B$179.8B.A2.A4.A
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2BA2BA17B3ABA3B2.2A107.9B3A16BAB3A12B2.2A$178.9B2.A2.A4.2A2.A10.A2.A
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.A4.A4.A.12B108.13BABA20BA6B110.20BABABABA3BA13B.A2.A$180.7B4.A24.8B
3.A135.9B162.2B.10B2.A.A5.A.A.A3.A4.A4.A10B4.A103.A2.10B2.17B2.3B.7B
109.8B5.8BAB2AB3ABA2B2.9B3.2A$181.7B27.9B2.A.A135.8B167.9B2.A5.A.A.A
5.A4.A2.A.9B4.A.A101.A.A4.5B5.6B2.B4.2B8.7B105.A2.7B4.A2.11BAB3A2B4.
5B$181.8B26.8B2.A2.A136.6B169.8B7.A7.A.A6.2A3.8B3.A3.A100.A2.A4.3B2.A
3.5B6.A11.8B103.A.A.8B2.A.A2.13BA2B6.A$181.3BC5B26.6B3.A.A2.2B133.5B
171.6B7.A7.A.A2.2B6.A2.8B.A3.A102.A.A5.B2.A.A3.2B7.A.A6.2A2.9B101.A3.
A8B2.A2.A2.3B2.10B5.A.A$178.2A2.B3C4B27.5B4.A2.4B125.2A4.6B171.5B8.A
3.A2.A4.4B4.A.A2.7B2.A.A104.A8.A3.A5.A4.A3.A4.A2.A.8B101.A2.2A.8B3.A.
A3.A4.8B6.A2.A$177.A2.A2.BC4B28.6B5.8B121.A2.2A.8B163.2A4.6B5.A3.A.A.
2A4.5B4.A2.A2.7B2.A115.A3.A3.A.A2.A3.A4.A2.A2.7B2.A100.2A4.6B5.A3.A.A
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2.A.8B118.A.A3.A3.A2.A.A6.2A2.7B2.A.A106.5B8.A3.A2.A4.4B4.A.A$178.A.A
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A2.A10.8B.A3.A105.6B7.A7.A.A2.2B6.A$177.A.A2.8B4.A21.2B3C16BD122.A2.
7B165.A.A.8B2.A.A2.16B6.A3.8B126.A.A8.2A3.8B3.A3.A103.8B7.A7.A.A$177.
A2.A.9B2.A.A21.2BC17B126.8B165.A2.7B4.A2.18B4.12B128.A8.A2.A.ABABA4B
4.A.A103.9B2.A5.A.A.A5.A$161.2A.2A12.A2.A9B.A3.A22.13B2.2B128.7B168.
8B5.20B2.12B137.A4.A10B4.A99.2B.10B2.A.A5.A.A.A3.A$160.A2.A2.A12.2A.
9B2.A2.A20.A2.11B134.2BD2B170.3BA38BA3B136.A4.A.2BA2BABABA2B101.10BA
3B.A3.A9.A.A$161.A5.A15.8B.A2.A20.A.A4.6B137.3D171.2BADA36BADA2B137.A
2.A3.BABA2BAB2A2B100.9BABA2B2.A3.A9.A$149.2A11.A.A.A16.8B2.A2.A19.A2.
A4.4B3.2A134.D172.BA3DA34BA3DA2.2A133.A4.A2.5B3A2BAB2.A95.A2.7BAB2A2B
3.A.A$148.A2.A11.A.A10.2A5.9B2.A.A20.A2.A4.B4.A2.A307.BADA36BADA2.A2.
A133.A3.A.2B6A2BAB2.A.A93.A.A2.6BABA4B3.A$147.A2.A2.3B5.B13.A2.2A2.9B
4.A21.A.A9.A2.A310.A38BAB.A2.A133.A3.A.5BABA2BA2B.A3.A91.A3.A2.3B5A3B
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3.A2.5B2A2BA2B3.A3.A89.A3.A3.2BA2B2ABA2B5.A.A$148.A2.17B3.2B4.A.A2.9B
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$150.19B.4B4.A2.9B350.A2.A4.3B2.A3.5B6.A152.A3.A2.7BA3B6.A93.A3.A.2BA
2BA2BA4B.A3.A$149.26B5.11B350.A.A5.B2.A.A3.2B7.A.A6.2A144.A.A2.13B3.A
96.A3.A.2B6ABA2B2.A.A$149.43B350.A8.A3.A5.A4.A3.A4.A2.A144.A2.13B3.A.
A94.A4.A2.3BA2B2ABA2B2.A$149.22BC20B360.A3.A3.A.A2.A3.A4.A2.A147.14B
2.A3.A9.A84.A2.A3.3B6A3B$145.A5.19B3C19B361.A.A3.A3.A2.A.A6.2A148.14B
.A3.A9.A.A82.A4.A.12B$144.A.A4.20BC19B363.A5.A3.A2.A158.2B.10B2.A.A5.
A.A.A3.A82.A4.A10B4.A$143.A3.A3.8B.B3.4B3.19B2.A368.A.A167.9B2.A5.A.A
.A5.A73.A8.A2.A.9B4.A.A$144.A3.A.8B7.A3.A2.10B3.4B2.A.A368.A169.8B7.A
7.A.A73.A.A8.2A3.8B3.A3.A$145.A.A2.7B2.A4.A.A.A.A4.5B5.3B2.A2.A539.6B
7.A7.A.A2.2B6.A56.A5.A3.A2.A10.8B.A3.A$146.A2.7B2.A.A3.A2.A3.A4.3B2.A
7.A2.A540.5B8.A3.A2.A4.4B4.A.A54.A.A3.A3.A2.A.A6.2A2.7B2.A.A$148.8B.A
2.A4.A2.2A.A5.B2.A.A7.2A534.2A4.6B5.A3.A.A.2A4.5B4.A2.A52.A3.A3.A.A2.
A3.A4.A2.A2.7B2.A$147.9B2.A2.A4.2A2.A8.A3.A541.A2.2A.8B3.A.A3.A4.8B6.
A2.A41.A8.A3.A5.A4.A3.A4.A2.A.8B$148.8B3.A.A18.A3.A541.A3.A8B2.A2.A2.
3B2.2BA7B5.A.A41.A.A5.B2.A.A3.2B7.A.A6.2A2.9B$149.7B4.A20.A.A543.A.A.
8B2.A.A2.7BABA6B6.A41.A2.A4.3B2.A3.2BA2B6.A11.8B$150.7B25.A545.A2.7B
4.A2.7BA3BA6B4.5B38.A.A4.5B5.BABA2B2.B4.2B8.7B$150.8B573.3B3A2B5.8BA
3BA7B2.9B3.2A31.A2.10B2.B2A2BA11B2.3B.2B3A2B$150.3BD5B573.BABABA12B9A
17B.A2.A32.16BA2BA17BABABAB$147.2A2.B3D4B573.A2BA2BA11BABA2B2A2BA16B
2.A2.A29.16B4A2BA15BA2BABAB$146.A2.A2.BD4B574.4B3A11BABA3B3ABA16B2.2A
29.19B3A2BA14B3A2BA2.2A$147.A2.A.5B576.5BA11B4ABA2B2A18B32.3BA13BA2BA
B2A15BA4B2.A2.A$148.2A3.2B580.3A12B2A2BA23B32.2BABA10BA2BAB3A17BA3B.A
2.A$733.A2.10B2.2BABABA10B2.3B.7B31.B4ABAB5.8BA11B2.7BAB3.2A$732.A.A
4.5B5.2BA3B2.B4.2B8.7B27.A2.ABAB2AB4.A2.2BAB2ABA10B4.5B$732.A2.A4.3B
2.A3.5B6.A11.3BA4B25.A.A.ABABA3B2.A.A2.16B6.A$733.A.A5.B2.A.A3.2B7.A.
A6.2A2.2B3A4B23.A3.A8B2.A2.A2.A2B2.10B5.A.A$734.A8.A3.A5.A4.A3.A4.A2.
A.B3A4B23.A2.2A.8B3.A.A3.A4.8B6.A2.A$744.A3.A3.A.A2.A3.A4.A2.A2.2BA4B
2.A22.2A4.6B5.A3.A.A.2A4.5B4.A2.A$745.A.A3.A3.A2.A.A6.2A2.7B2.A.A28.
5B8.A3.A2.A4.4B4.A.A$746.A5.A3.A2.A10.8B.A3.A27.6B7.A7.A.A2.2B6.A$
753.A.A8.2A3.8B3.A3.A25.8B7.A7.A.A$754.A8.A2.A.9B4.A.A25.9B2.A5.A.A.A
5.A$762.A4.A10B4.A21.2B.10B2.A.A5.A.A.A3.A$761.A4.A.12B23.14B.A3.A9.A
.A$762.A2.A3.10BAB22.14B2.A3.A9.A$761.A4.A2.9BA2B2.A17.A2.13B3.A.A$
762.A3.A.3B3A3BA2B2.A.A15.A.A2.13B3.A$761.A3.A.13B.A3.A13.A3.A2.11B6.
A$760.A3.A2.4B2A6B3.A3.A11.A3.A3.11B5.A.A$759.A3.A3.4BA6B5.A.A13.A3.A
2.12B3.A3.A$760.A3.A2.3BABA5B6.A15.A3.A.13B.A3.A$761.A.A2.5BA7B3.A18.
A3.A.12B2.A.A$762.A2.5B3A5B3.A.A16.A4.A2.4B3A5B2.A$764.5B3ABA4B2.A3.A
9.A6.A2.A3.3BA3BA4B$764.6BA3BA3B.A3.A9.A.A4.A4.A.4BA7B$765.2B.3BA3BA
2B2.A.A5.A.A.A3.A4.A4.A3B4ABAB4.A$770.2BAB3A2B2.A5.A.A.A5.A4.A2.A.2BA
6B4.A.A$771.2B3A3B7.A7.A.A6.2A3.3A3BAB3.A3.A$772.2BA3B7.A7.A.A2.AB6.A
2.ABABA3B.A3.A$772.5B8.A3.A2.A4.ABAB4.A.A2.3A4B2.A.A$765.2A4.6B5.A3.A
.A.2A4.3ABA4.A2.A2.A6B2.A$764.A2.2A.8B3.A.A3.A4.3BABA2B6.A2.A.8B$765.
A3.A8B2.A2.A2.3B2.6BA3B5.A.A2.9B$766.A.A.8B2.A.A2.16B6.A3.8B$767.A2.
7B4.A2.11B4A3B4.12B$770.8B5.20B2.12B$771.13BA21BA10B$771.6BA5B3A14BA
4BABA9B$771.5BABABAB5A17BABABA7B2.2A$772.3BA3B7A13B5A3BA7B2.A2.A$774.
2BA5B3A13BAB2ABA11B.A2.A$772.A2.2BA3B3AB2.15BAB2.3B.4B3.2A$771.A.A4.A
3BA5.6B2.B4.2B$771.A2.A4.ABA2.A3.5B6.A$772.A.A5.A2.A.A3.2B7.A.A6.2A$
773.A8.A3.A5.A4.A3.A4.A2.A$783.A3.A3.A.A2.A3.A4.A2.A$784.A.A3.A3.A2.A
.A6.2A$785.A5.A3.A2.A$792.A.A$793.A!
Bucket list
  • Find conduits for more types of signals
  • Fill out missing low oscillator periods
  • Relatedly, find more higher-period oscillators that hassle pre-diamonds
  • Flesh out understanding of catalysts, in particular:
    • More non-rock eaters and when to use them
    • Transparent diamonds (or transparent anything, but diamond is most likely)
    • More applications for or reactions like the magic trick
    • A way for a corner to resist being dented head-on (potentially impossible)
  • Find and/or prove a universal conduit set
  • Make some Corderoid circuitry (something like Corderoid -> signal -> split the signal to synthesize a Corderoid again would be awesome)
  • Figure out if universal construction is doable
Completed items
  • Have a p5 oscillator
  • Make a gun for the 'common' c/3
  • Find and/or prove a universal conduit set
Last edited by M. I. Wright on August 9th, 2025, 9:47 pm, edited 45 times in total.

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 22nd, 2025, 12:12 am

With the primer out of the way, here's an update on the current state of things. First, here's an unoptimized/unreduced p408 Cordergun fed by the p136 signal generator from my last TFYUCA post. It turns out the most common Corderoid is super easy to construct because you just have to slam two whams together and the rest of the ship creates itself:

Code: Select all

x = 130, y = 130, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
122bo$121bobo$120bo3bo$99bo19bo5bo$98bobo17bo7bo$80b2o15bo3bo15bo9bo$
79bo2b2o12bo3bo15bo11bo$80bo3bo12bobo15bo13bo$81bobo14bo17bo11bo$82bo
34bo9bo$92b3o23bo7bo$94bo10bobo11bo5bo$86bo17bobobo11bo3bo$85bobo15bo
5bo11bobo$84bobo17bo3bo13bo$85bo9bo9bobo$89bobo14bo$91b2o$85bo3bo$84bo
bo3bobo$83bo3bo$82bo5bo6bo$83bobobo6bobo$84bobo6bobo$94bo$109bo$93bo
14bobo$92bobo12bo3bo$67b2o22bo3bo12b2o2bo$66bo2bo20bo3bo15b2o$65bo2bo
22bobo$66b2o24bo$93bo$94bo$93bo$92bo$91bo$90bobo$89bo2bo$90bo2bo$91bo
2bo$92bobo$93bo4$67b2o$66bo2bo$65bo2bo$66b2o7$91b2o$90bo2bo$91bo2bo$
92bobo$93bo3$7bo$6bobo$5bo3bo$4bo5bo57bo$3bo7bo55bobo$2bo9bo54bo2bo$bo
11bo54bobo$o13bo54bo$bo11bo62bo$2bo9bo62bobo$3bo7bo13b3o47bo2bo$4bo5bo
14bobo48bo2bo$5bo3bo15b4o48b2o$6bobo$7bo$10bo$6b3obo$5bo4bo$5bo3b4o$5b
3o2bobo15bo$7bo2b3o14bobo$26bo2bo$13bo11bo2bo$12bobo11bobo$11bo3bo11bo
$12bo3bo71bo$11bo3bo71bobo$12bobo71bo3bo$13bo71bo2b2obo$84bo2bo4bo$5bo
6b3o68bo2bob2obobo$4bobo4bo3bo68bobob2obo2bo$3bo3bo3bo73bo4bo2bo$4bo3b
ob6o70bob2o2bo$5bobo3bo2bobo70bo3bo$6bo3bo2bo3bobo68bobo$12bo3b2o2bo7b
o60bo$10b2o3bobo2bo6bobo3bo6b2o16b2o$8bobo3bo2bo2bo5bo3bobobo4bo2bo14b
o2bo$11bobo2b4o7bo3bo3bob2o2bo14bo2bo$12b6o10bobo5bo3bo15bobo$16bo12bo
7bobo17bo35b3o$12bo3bo21bo53bo2bo$13b3o5bo70bo2bo$20bobo69b3o$19bo3bo$
18bo3bo$7bo11bo3bo$6bobo11bobo$6bo2bo11bo$5bo2bo$5bobo$6bo67bo$73bobo$
72bo2bo$71bo2bo$72b2o5$68b2o$29bo17bo19bo2bo$28bobo15bobo17bo2bo$28bo
2bo14bo2bo17b2o$29bobo15bobo$30bo17bo!
The gun makes use of an edgy Wham-splitter reaction that also can be interrupted to make other conduits, like this flipper at the end of the (first-ever version of the) conduit collection:

Code: Select all

x = 49, y = 149, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
18.3B2.2B$17.9B$17.9B$17.9B$16.10B.3B$15.16B$15.17B$14.19B$13.21B$13.
21B$12.22B$11.22B$10.27B$8.30B$7.31B$5.32B$4.33B$.37B$38B$38B$37B$.33B
$.32B$31B$31B$.33B$5.30B$4.32B$4.32B$4.31B$5.26B.2B$6.25B4.A$7.18B2.3B
4.A.A$8.3B.13B3.B4.A2.A$12.14B6.A2.A$12.15B4.A.2A$12.14B4.A$13.2B2.9B
3.A.A$18.9B.A2.A$19.8B2.A2.A$19.9B2.A.A$18.7B3DB2.A$18.7BD2BDB8.A$19.
6BD2BD3B2.B2.A.A$20.6B3D7B.A2.A$21.16B.A.A$21.16B2.A$21.17B$19.20B$18.
21B$15.2A2.20B$14.A2.A.20B$13.A2.A2.16B.3B$14.A2.A2.19B.9D$13.A2.A4.19B
D7.D$13.A.A5.19BD2.2E3.D$14.A2.23BD.E2.E2.D$16.24BD2.E2.E.D$14.26BD3.
2E2.D$14.25B.D7.D$15.23B2.9D$12.2A2.26B$11.A2.A2.26B$12.A2.A2.26B$13.
2A4.25B$13.2B.29B$14.32B$13.34B$14.32B$15.30B$15.29B$14.29B$13.29B$12.
29B$11.29B$12.28B$13.27B$14.25B$16.22B2.A$14.A2.20B2.A.A$13.A.A2.20BA
2.A$13.A2.A2.17B3.A2.A$14.A2.A2.15B3.A2.A$15.2A.A2.13B5.2A$19.A2.11B$
18.A.A3.8B$18.A2.A.9B$17.A2.A2.8B$17.A.A2.9B$18.A2.B3D7B$11.A8.BD2BD7B
$10.A.A2.B2.3BD2BD6B$9.A2.A.7B3D6B$9.A.A.16B$10.A2.16B$12.17B$11.20B$
11.21B$11.20B2.2A$11.3B.16B.A2.A$11.3B.16B2.A2.A$.9D.19B2.A2.A$.D7.D19B
4.A2.A$.D3.2D2.D19B5.A.A$.D2.D2.DBD23B2.A$.D.D2.D2.D24B$.D2.2D3.D26B$
.D7.D.25B$.9D2.23B$8.26B2.2A$7.26B2.A2.A$6.26B2.A2.A$6.25B4.2A$5.29B.
2B$4.32B$3.34B$4.32B$5.30B$6.29B$7.29B$8.29B$9.29B$10.29B$10.28B$10.27B
$11.25B$9.A2.22B$8.A.A2.20B2.A$8.A2.A20B2.A.A$7.A2.A3.17B2.A2.A$8.A2.
A3.15B2.A2.A$9.2A5.13B2.A.2A$17.11B2.A$18.8B3.A.A$18.9B.A2.A$19.8B2.A
2.A$19.9B2.A.A$18.7B3CB2.A$18.7BC2BCB8.A$19.6BC2BC3B2.B2.A.A$20.6B3C7B
.A2.A$21.16B.A.A$21.16B2.A$22.16B$23.16B$25.14B$26.13B$27.2B2.3B.3B$36.
B!
(The boxed mango that eats the rectangle is optional but helps if feeding into other conduits.)

A lot of the updates I initially set out to make in this post ended up going in the stamp collections, but I still wanted to shout out this track that lets the Wham engine move+turn at its natural velocity, which feels cleaner than the DW -> random junk -> DW turn reactions I had previously found for the double-whammy track. I don't yet have a way to get a signal out of this one, though. Moreover, the 90-degree turns were made by hand and there are bound to be alternatives with better repeat times. I'm dragging my feet on setting up search programs to find conduits and components and such, but I imagine the space has to be unbelievably rich if it's this easy to find usable components by hand.

Code: Select all

x = 214, y = 123, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
77b2o$73b2obo2bo$72bo2bo4bo$71bo2bo6bo$71bobo8bo$22b2o48bo10bo$21bo2b
o59bo4b2o10b2o$20bo2bo61bob2o2bo8bo2bo$20bobo63bo5bo8bo2bo$21bo65bobo
bo10bobo$20bo67bobo12bo$15bo3bo84bo$14bobobo86bo$13bo3bo86bo$12bo90bo
$11bo92bo$10bo94bobo$9bo96bobo$8bo97bo2bo$7bo51b3o43bo2bo$6bo52bo2bo42b
obo$2b2obo53bo2bo43bo$bo2bo55b3o$o2bo$obo$bo4$30bo17bo17bo$2bo26bobo15b
obo15bobo15bo$bobo24bo3bo13bo3bo13bo3bo13bobobo$o3bo24bo3bo13bo3bo13b
o3bo11bo3bobo20bo$bo3bo24bobo15bobo15bobo13bo5bo18bobo39b3o$2bo3bo24b
o17bo17bo15bo3bo18bo2bo39bo2bo$3bobo26bo51bobo20bo2bo38bo2bo$4bo28bo51b
o22bobo39b3o$34bo74bo$35bo$34bo$33bo$32bo$31bo$30bo107bo17bo17bo17bo17b
o$29bobo105bobo15bobo15bobo15bobo15bobo$28bo2bo104bo3bo13bo3bo13bo3bo
13bo3bo13bo3bo$27bo2bo106bo3bo13bo3bo13bo3bo13bo3bo13bo3bo$28b2o108bo
bo15bobo15bobo15bobo15bobo$4bo134bo17bo17bo17bo17bo$3bobo$2bo3bo$3bo3b
o99bo$4bobo99bobo$5bo99bo3bo$106bo3bo$107bobo$108bo10$4bo$3bobo$2bo3b
o$3bo3bo99bo$4bobo99bobo$5bo99bo3bo$106bo3bo$107bobo$108bo$83b2o$82bo
2bo$81bo2bo$81bobo$82bo$81bo$80bo$79bo$78bo$77bo$3bo74bo$2bobo22bo51b
o28bo$2bo2bo20bobo51bo26bobo$3bo2bo18bo3bo15bo17bo17bo24bo3bo$3bobo18b
o5bo13bobo15bobo15bobo24bo3bo50bo17bo$4bo20bobo3bo11bo3bo13bo3bo13bo3b
o24bo3bo48bobo15bobo$26bobobo13bo3bo13bo3bo13bo3bo24bobo48bo3bo13bo3b
o$29bo15bobo15bobo15bobo26bo50bo3bo13bo3bo$46bo17bo17bo79bobo15bobo$163b
o17bo3$111bo$110bobo$109bo2bo$108bo2bo$6bo100bob2o56b3o$5bobo98bo60bo
2bo$4bo2bo97bo61bo2bo$3bo2bo97bo63b3o$4bobo96bo$5bobo94bo$8bo92bo$9bo
90bo$8bo86bo3bo$7bo86bobobo$8bo84bo3bo40bo17bo$9bo12bobo67bo44bobo15b
obo$8bobo10bobobo65bo44bo3bo13bo3bo$8bo2bo8bo5bo63bobo44bo3bo13bo3bo$
9bo2bo8bo2b2obo61bo2bo45bobo15bobo$10b2o10b2o4bo59bo2bo47bo17bo$29bo10b
o48b2o$30bo8bobo$31bo6bo2bo$32bo4bo2bo$33bo2bob2o$34b2o!
As for the c/2 engine that's been popping up in D8_4 and is in the spaceship stamp collection, rabbit noticed that many of the ships and puffers it creates seem like they really want to become wickstretchers, but that a proper wickstretcher will need work to stabilize the back end at a perpendicular c/3 (shown with an ill-fated small c/3 ship to get the idea across):

Code: Select all

x = 27, y = 29, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
3o$obo$ob3o$2bo2bo2b3o$bob2obobo2bo$8b6o$10bo3bo$14b3o$14bo2bo$13bo2b
4o$11b2o7bo$9bobo4b7o$9bo3b6o4bo$9b5ob4o3b4o$11bobo8b2o2bo$11bo11bo2bo
$26bo$24b2o$23b3o$18b2o3b4o$23b3o$24b2o$26bo$23bo2bo$23bo2bo$17bo2b2ob
3o$23bo$17bo2b3o$20bo!
Speaking of spaceships, iNoMed has been doing some of the first non-soup searches and found the following 2c/5o, c/4o, and c/5d from the stamp collection. The 2c/5o doesn't use the usual puffer engine that's been popping up via apgsearch.

Code: Select all

x = 53, y = 19, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
40bo$38bo2bo$35bob6o$3bo6bo25b3o2bobo$2b3o4b3o25bo7bo$3bobo2bobo32b2ob
o$bobo2b2o2bobo23b2o3b3ob3o$36b3o3bo2b2obo$bo2bo4bo2bo24bobo7bo$2bo2b
4o2bo25bo2b2obo2b2obo$2bo2bo2bo2bo26bo6b2o3bo$b2o2bo2bo2b2o10b2o15b2ob
o2bo2b3o$ob3o4b3obo5b4o2bo15bobo6bobo$bobo6bobo6bobobob3obo14bo5bo$bob
o6bobo6bob2o2bo2b3o11bo2bo3b3o$bobo2b2o2bobo8bo5bobo13b4ob3o$5bo2bo18b
obo15b2o2bo$4bo4bo40bo$2bo8bo!
In more-frivolous news, I snagged another lesser 'magic trick' sorta reaction where this junk from a TW deletes only one of two overlapping diamonds:

Code: Select all

x = 50, y = 26, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
9b3o$9bo2bo$9bo2bo$10b3o4$7bo2$3o15b3o$o2bo14bo2bo$o2bo14bo2bo14bo5bo$
b3o15b3o13bobo3bobo$34bo3bobo3bo$14bo18bo5bo5bo$32bo5bobo5bo$31bo5bo3b
o5bo$30bo5bo5bo5bo$29bo5bo7bo5bo$30bo5bo5bo5bo$31bo5bo3bo5bo$32bo5bobo
5bo$33bo5bo5bo$34bo3bobo3bo$35bobo3bobo$36bo5bo!
And I also found one more of those parity-preserving blinker keepers from my TFYUCA posts:

Code: Select all

#C [[ STEP 2 ]]
x = 236, y = 31, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
230.E$129.3E98.E$230.E11$.A99.A99.A$A.A97.A.A97.A.A$A2.A96.A2.A96.A2.
A$.A.A4.A92.A.A4.A92.A.A4.A$2.A4.A.A24.A67.A4.A.A24.A67.A4.A.A24.A$7.
A2.A22.A.A71.A2.A22.A.A71.A2.A22.A.A$6.A2.A22.A2.A70.A2.A22.A2.A70.A
2.A22.A2.A$7.2A.A20.A2.A72.2A.A20.A2.A72.2A.A20.A2.A$11.A18.A2.A77.A
18.A2.A77.A18.A2.A$12.A16.A2.A79.A16.A2.A79.A16.A2.A$13.A14.A2.A81.A
14.A2.A81.A14.A2.A$12.A.A12.A2.A81.A.A12.A2.A81.A.A12.A2.A$12.A2.A12.
A2.A80.A2.A12.A2.A80.A2.A12.A2.A$13.A2.A12.A.A81.A2.A12.A.A81.A2.A12.
A.A$14.2A8.3C3.A83.2A8.3C3.A83.2A8.3C3.A$24.C2.C96.C2.C96.C2.C$24.C2.
C96.C2.C96.C2.C$25.3C97.3C97.3C!
Lastly, I just found a bunch of new oscillators and periods by messing around while hand-reducing the known ones for the stamp collection. Half of it came because I was trying to reduce the asymmetrical p40 that rabbit had noticed lurking in apgsearch's p79, and I came out with a (bizarrely nearly identical) p41, a p32, a p22, and the realization that the stators of a bunch of even-period oscs (like these but also the p8 and p12) could be reduced to just blinkers:

Code: Select all

x = 107, y = 63, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
2.D2.D3.2D23.D2.D2.D27.2D4.2D21.2D4.2D$2.D2.D2.D2.D22.D2.D2.D26.D2.D
2.D2.D19.D2.D2.D2.D$2.D2.D2.D2.D22.D2.D2.D29.D5.D22.D5.D$2.4D2.D2.D
22.4D2.D28.D5.D22.D5.D$5.D2.D2.D25.D2.D29.D3.D22.D5.D$5.D2.D2.D25.D2.
D26.D2.D2.D22.D5.D$5.D3.2D26.D2.D27.2D3.4D19.4D2.4D9$10.A29.A27.A6.A
27.2A$2.A7.A24.A3.A.A25.A.A4.A.A19.2A4.A2.A$.A.A6.A23.A.A2.A2.A23.A2.
A4.A2.A17.A2.A4.A2.A$A2.A29.A2.A3.A.A23.A.A2.A3.A.A16.A2.A6.2A$A.A27.
A2.A.A5.A25.A2.A.A3.A18.2A$.A27.A.A2.A36.A26.A$29.A2.A64.3A$30.A.A32.
2A31.A$31.A32.A2.A27.A$6.A7.A50.A2.A25.A.A$5.A.A6.A51.2A26.A2.A$4.A3.
A5.A21.3A56.A.A$5.A.A27.A3.A4.A51.A$.A4.A3.A24.A.A.A3.A.A$A.A6.A.A23.
A3.A2.A2.A$A2.A4.A2.A20.A3.3A2.A2.A$.A.A4.A.A20.A.A6.A2.A$2.A6.A21.A
2.A4.A2.A$32.A.A4.A.A$33.A6.A11$10.A$2.2A6.A$.A2.A5.A$A2.A$A.A$.A4$6.
A7.A$5.A.A6.A$4.A3.A5.A$5.A.A$.A4.A3.A$A.A6.A.A$A2.A4.A2.A$.A.A4.A.A$
2.A6.A!
and the other half is all the new p21s formed from variants of apgsearch's natural one (boxed in red below), plus a new p40 and p92 from variations on the theme. The p40 is pretty cool because it forms a temporary domino wick in the middle of its period:

Code: Select all

x = 202, y = 192, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
32.2D3.D79.D2.D3.2D58.2D4.2D$31.D2.D2.D79.D2.D2.D2.D56.D2.D2.D2.D$34.
D2.D79.D2.D2.D2.D56.D2.D5.D$33.D3.D79.4D2.D2.D57.3D4.D$32.D4.D82.D2.D
2.D59.D3.D$31.D5.D82.D2.D2.D56.D2.D2.D$31.4D2.D82.D3.2D58.2D3.4D8$25D
$D23.D$D23.D158.2A5.2A$D23.D157.A2.A3.A2.A$D23.D156.A2.A5.A2.A$D4.2A
17.D39.2A116.2A3.A3.2A$D3.A2.A16.D38.A2.A119.A.A$D2.A2.A12.2A3.D39.A
2.A117.A3.A$D2.A.A2.A9.A2.A2.D37.A2.A.A41.2A26.2A47.A.A$D3.A2.3A7.A2.
A3.D22.2A12.3A2.A41.A2.A24.A2.A47.A$D2.A.A2.A9.2A4.D21.A2.A12.A2.A.A
39.A2.A26.A2.A34.A23.A$D2.A2.A17.D20.A2.A15.A2.A39.A.A2.A22.A2.A.A33.
A.A21.A.A$D3.A2.A16.D20.A.A2.A12.A2.A41.A2.3A20.3A2.A33.A2.A21.A2.A$D
4.2A17.D21.A2.3A12.2A41.A.A2.A22.A2.A.A32.A.A23.A.A$D23.D20.A.A2.A56.
A2.A26.A2.A33.A25.A$D23.D20.A2.A59.A2.A24.A2.A$D23.D21.A2.A59.2A26.2A
$25D22.2A$174.A25.A$173.A.A23.A.A$173.A2.A21.A2.A$174.A.A21.A.A$175.A
23.A$187.A$4.2A15.2A163.A.A$3.A2.A13.A2.A161.A3.A$2.A2.A15.A2.A161.A.
A$2.A.A2.A11.A2.A.A41.2A114.2A3.A3.2A$3.A2.3A9.3A2.A41.A2.A112.A2.A5.
A2.A$2.A.A2.A11.A2.A.A23.2A16.A2.A112.A2.A3.A2.A$2.A2.A15.A2.A22.A2.A
13.A2.A.A113.2A5.2A$3.A2.A13.A2.A22.A2.A13.3A2.A$4.2A15.2A23.A.A2.A
12.A2.A.A$47.A2.3A13.A2.A$46.A.A2.A13.A2.A$46.A2.A16.2A$47.A2.A$48.2A
5$4.2A16.2A$3.A2.A14.A2.A$2.A2.A16.A2.A$2.A.A2.A12.A2.A.A$3.A2.3A10.
3A2.A$2.A.A2.A12.A2.A.A32.2A.2A$2.A2.A16.A2.A31.A2.A2.A$3.A2.A14.A2.A
31.A2.A.A2.A$4.2A16.2A32.A.A3.A.A$57.A2.A2.A$59.3A$60.A3$47.2A$46.A2.
A$45.A2.A$45.A.A2.A$46.A2.3A$15.A29.A.A2.A$14.A.A28.A2.A$13.A2.A29.A
2.A$13.A.A31.2A$4.2A8.A8.2A$3.A2.A15.A2.A$2.A2.A17.A2.A$2.A.A2.A13.A
2.A.A$3.A2.3A11.3A2.A$2.A.A2.A13.A2.A.A$2.A2.A17.A2.A$3.A2.A7.A7.A2.A
$4.2A7.A.A7.2A$13.A2.A$14.A.A39.2A.2A$15.A39.A2.A2.A$54.A2.A.A2.A$54.
A.A3.A.A$55.A2.A2.A$57.3A$58.A2$47.2A$46.A2.A$45.A2.A$45.A.A2.A$4.2A
18.2A20.A2.3A$3.A2.A16.A2.A18.A.A2.A$2.A2.A18.A2.A17.A2.A$2.A.A2.A14.
A2.A.A18.A2.A$3.A2.3A12.3A2.A20.2A$2.A.A2.A14.A2.A.A$2.A2.A18.A2.A$3.
A2.A16.A2.A$4.2A18.2A5$60.2A.2A$59.A2.A2.A$4.2A19.2A31.A2.A.A2.A$3.A
2.A17.A2.A30.A.A3.A.A$2.A2.A19.A2.A30.A2.A2.A$2.A.A2.A15.A2.A.A32.3A$
3.A2.3A13.3A2.A34.A$2.A.A2.A15.A2.A.A$2.A2.A19.A2.A19.2A$3.A2.A17.A2.
A19.A2.A$4.2A19.2A19.A2.A$46.A.A2.2A$47.A2.A.A$46.A.A2.2A$16.A29.A2.A
$15.A.A29.A2.A$14.A2.A30.2A$14.A.A$4.2A9.A11.2A$3.A2.A19.A2.A$2.A2.A
21.A2.A$2.A.A2.A17.A2.A.A$3.A2.3A15.3A2.A$2.A.A2.A17.A2.A.A$2.A2.A21.
A2.A$3.A2.A19.A2.A$4.2A9.A11.2A$14.A.A$14.A2.A38.D$15.A.A34.2D2.2D2.
3D$16.A34.D2.D.D2.D$51.4D.D2.D$51.D4.D2.D$52.3D2.D2.3D6$4.2A22.2A$3.A
2.A20.A2.A$2.A2.A22.A2.A$2.A.A2.A18.A2.A.A$3.A2.3A16.3A2.A$2.A.A2.A
18.A2.A.A$2.A2.A22.A2.A$3.A2.A20.A2.A$4.2A22.2A6$18.A$17.A.A$16.A2.A$
4.2A10.A.A10.2A$3.A2.A10.A10.A2.A$2.A2.A23.A2.A$2.A.A2.A19.A2.A.A$3.A
2.3A17.3A2.A$2.A.A2.A19.A2.A.A$2.A2.A23.A2.A$3.A2.A10.A10.A2.A$4.2A
10.A.A10.2A$16.A2.A$17.A.A$18.A5$16.D$12.2D2.2D2.3D$11.D2.D.D2.D$11.
4D.D2.D$11.D4.D2.D$12.3D2.D2.3D!
This is far from an exhaustive enumeration of p21s. I actually suspect that some of the sparkier variants, whether they're ones yet to be found or just one of the ones I already found and had to cap off with mangoes, could lead to proper p21 or p21*n signal generators. Unfortunately I've exhausted my energy reserves writing these posts and making the stamp collections so I won't be doing more exploration for a little while :D
Last edited by M. I. Wright on June 22nd, 2025, 2:37 pm, edited 1 time in total.

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LuveelVoom
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Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by LuveelVoom » June 22nd, 2025, 1:15 am

3c/7:

Code: Select all

x = 19, y = 9, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
3bo11bo$2b3o9b3o$b5o2b3o2b5o$3obob2o3b2obob3o$3o4bo3bo4b3o$4o2bo2bo2b
o2b4o$3obo9bob3o$4o11b4o$4bo9bo!
OCA primer (WIP): User:LuveelVoom/A_Primer_On_OCA
My rules: viewtopic.php?f=11&t=6843
YBOCAD: viewtopic.php?f=11&t=7036
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hibiscus
Posts: 406
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Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by hibiscus » June 22nd, 2025, 2:44 am

Crossposting some p5's from the Discord.

Code: Select all

x = 8, y = 16, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2bo2bo$bo4bo$bo4bo$bob2obo$b2o2b2o$o6bo$3o2b3o3$3o2b3o$o6bo$b2o2b2o$b
ob2obo$bo4bo$bo4bo$2bo2bo!
This particular p5 is extendable:

Code: Select all

x = 21, y = 24, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2bo2bo9bo2bo$bo4bo7bo4bo$bo4bo7bo4bo$bob2obo7bob2obo$b2o2b2o7b2o2b2o$
o6bo5bo6bo$3o2b3o5b3o2b3o3$3o2b3o5b3o2b3o$o6bo5bo6bo$b2o2b2o7bo4bo$bo
b2obo7bo4bo$bo4bo6bo6bo$bo4bo6b3o2b3o$2bo2bo2$13b3o2b3o$13bo6bo$14b2o
2b2o$14bob2obo$14bo4bo$14bo4bo$15bo2bo!
Another one, found by Wright:

Code: Select all

x = 12, y = 12, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
.....oo.....$
....o..o....$
...o....o...$
..o...o..o..$
.o...o.o..o.$
o...ooo.o..o$
o..o.ooo...o$
.o..o.o...o.$
..o..o...o..$
...o....o...$
....o..o....$
.....oo.....!
Edit: Here's every new oscillator I've posted on the Lounge (plus a p48 I didn't post there).
p74, p146, p16, non-LCM p65, p48

Code: Select all

x = 140, y = 25, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
7bo25bo5bo31bo27bo7bo21bo5bo$6bobo23bobo3bobo29bobo25bobo5bobo19bobo3b
obo$5bo3bo21bo3bobo3bo27bo3bo23bo3bo3bo3bo17bo3bobo3bo$4bo5bo19bo3bo3b
o3bo25bo3bo23bo3bo5bo3bo15bo3bo3bo3bo$5bo3bo19bo3bo5bo3bo25bobo23bo3b
o7bo3bo15bobo2bo2bobo$6bobo19bo3bo3bo3bo3bo25bo23bo3bo9bo3bo15bo2bobo
2bo$7bo19bo3bo3bobo3bo3bo47bo3bo11bo3bo18bo$26bo3bo3bo3bo3bo3bo20b3o22b
o3bo13bo3bo$7bo17bo3bo3bo5bo3bo3bo12bo5bo3bo22bobo15bobo$6b3o17bobo3b
3obob3o3bobo12bobo4bob2obo22bo6bo3bo6bo16bo5bo$5b5o17bo6bo3bo6bo12bo3b
o3bo3bobo5bo21bob3obo24b3o$6b3o27bo22bo3bo2bob4o5bobo19bo3bo3bo22bobo
bo$7bo20bo5bobobo5bo15bobo5b4obo2bo3bo19bob3obo20bo3bobo3bo$27bobo5bo
bo5bobo15bo5bobo3bo3bo3bo12bo6bo3bo6bo13bobo3bo3bobo$7bo18bo3bo5bo5bo
3bo21bob2obo4bobo12bobo15bobo11bo3bo5bo3bo$7bo19bo3bo9bo3bo23bo3bo5bo
12bo3bo13bo3bo11bo3bo3bo3bo$7bo20bo3bo7bo3bo25b3o20bo3bo11bo3bo13bobo
5bobo$29bo3bo5bo3bo50bo3bo9bo3bo15bo7bo$2bo9bo17bo3bo3bo3bo26bo25bo3b
o7bo3bo$bobo7bobo17bo3bobo3bo26bobo25bo3bo5bo3bo$o3bo5bo3bo17bobo3bob
o26bo3bo25bo3bo3bo3bo$bo3bo3bo3bo19bo5bo26bo3bo27bobo5bobo$2bo3bobo3b
o54bobo29bo7bo$3bobo3bobo56bo$4bo5bo!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!

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Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by rabbit » June 22nd, 2025, 12:39 pm

Filtered nbsearch2 results from 10 days ago, I have filtered the duplicates - p5, p10, p11, p26, p32, p48:

Code: Select all

x = 96, y = 67, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2b3o17bo25b3o2b2o$2bo18bobo26bobo$2b3o15bo2bo24b3ob3o$4bo14bo4bo23bo3b
obo17bo15bo$2b3o13bo2b2o2bo22b3ob3o18bo13bo$17bo3bo4b2o$16bo2b3o2bo3bo
$15bo3bo2b3o2bo47b3o5b3o$16b2o4bo3bo40b2o5bo3bo3bo3bo5b2o$18bo2b2o2bo
40bo2bo4bobobo3bobobo4bo2bo$19bo4bo40bo2bo5bo3bo3bo3bo5bo2bo$20bo2bo
42b2o7b3o5b3o7b2o$20bobo$21bo$73bo13bo$72bo15bo5$ob3o13bo$obobo12bobo$
obobobo9bo3bo$obobo10bo5bo$ob3o11bo5bo$17bo3bobo$16bo5bo$15bo5bo$16bo
3bo$17bobo$18bo29b3ob3o$50bo3bo$48b3ob3o$50bobo$48b3ob3o$67b2o4bo13bo
4b2o$66bo2bo2b3o11b3o2bo2bo$65bo2bo4bo13bo4bo2bo$66b2o25b2o2$2bobo19bo
$2bobo18bobo$2bobo17bo2bo$2bobo17bobo$2bobobo16bo3$17b2o$16bo2bo4b3o$
15bo2bo4bo3bo$16b2o5bobobo5b2o13bobob3o24bo$23bo3bo4bo2bo12bobobobo24b
o$24b3o4bo2bo13b3ob3o24bo$32b2o16bobobo$50bob3obo2$27bo$26bobo38b2o3bo
13bo3b2o$25bo2bo37bo2bobobo11bobobo2bo$25bobo37bo2bo3bo13bo3bo2bo$26bo
39b2o23b2o4$79bo$79bo$79bo!
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M. I. Wright
Posts: 406
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Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 22nd, 2025, 2:36 pm

Really nice additions! Added everything to the stamp collection, including an accidental variant of the p146. The p11 turns out to have a few variants in between this one and the one from Catagolue, and in the process of messing with those I found this stator for a p58:

Code: Select all

x = 27, y = 10, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2b2o19b2o$bo2bo17bo2bo$o2bo19bo2bo$obo5bo15bobo$bo5b3o15bo$2bo5bo15bo$
bob2o17b2obo$bo3bo15bo3bo$2bobo17bobo$3bo19bo!
EDIT: Also added a p48, a p10, a 6c/12, and a new small c/3 that sylvani found via spaceinvaders, reduced the p22's stator based on its form in the same census, and added a 74c/148 I "found" by gluing together two copies of the new 6c/12.

EDIT: I don't know how useful glider synthesis is going to be in this rule considering how rare and expensive the c/3 glider is, but here's an unsorted gencols enumeration of c/3 collisions nonetheless:

Code: Select all

x = 4467, y = 4107, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F199.F199.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
F199.F199.F199.F$117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F199.F199.F199.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
F199.F199.F$117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$14.A102.F97.A
101.F97.A101.F96.A102.F87.A111.F98.A100.F98.A100.F94.A104.F91.A107.F
93.A105.F96.A102.F99.A99.F99.A99.F99.A99.F99.A99.F95.A103.F99.A99.F
92.A106.F95.A103.F97.A101.F88.A110.F97.A101.F98.A$4.3A6.A103.F96.A
102.F96.A102.F95.A103.F86.A112.F97.A101.F97.A101.F93.A105.F90.A108.F
92.A106.F95.A103.F98.A100.F98.A100.F98.A100.F98.A100.F94.A104.F98.A
100.F91.A107.F94.A104.F96.A102.F87.A111.F96.A102.F97.A$4.A.A5.A.A102.
F95.A.A101.F95.A.A101.F94.A.A102.F85.A.A111.F96.A.A100.F96.A.A100.F
92.A.A104.F89.A.A107.F91.A.A105.F94.A.A102.F97.A.A99.F97.A.A99.F97.A.
A99.F97.A.A99.F93.A.A103.F97.A.A99.F90.A.A106.F93.A.A103.F95.A.A101.F
86.A.A110.F86.3A6.A.A101.F96.A.A$2.3A.A5.A.A102.F95.A.A101.F95.A.A
101.F94.A.A102.F85.A.A111.F96.A.A100.F96.A.A100.F92.A.A104.F89.A.A
107.F91.A.A105.F94.A.A102.F97.A.A99.F97.A.A99.F97.A.A99.F97.A.A99.F
93.A.A103.F97.A.A99.F90.A.A106.F93.A.A103.F95.A.A101.F86.A.A110.F86.A
.A6.A.A101.F96.A.A$.A2.A5.4A103.F93.4A102.F93.4A102.F92.4A103.F83.4A
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$4467F$117.F
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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94.A104.F93.A105.F86.3A110.F96.A102.F92.A106.F96.A102.F96.A102.F91.A
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93.A105.F92.A106.F86.A.A5.A104.F95.A103.F91.A107.F95.A103.F95.A103.F
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2A101.F86.A.A8.3A99.F93.3A103.F84.3A.A8.3A99.F83.A2.A10.3A99.F92.3A
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F199.F
199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F$117.F199.F
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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117.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.F199.
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In StateInvestigator in order to be able to get a bird's-eye view of results w/o seeing the history envelopes:

Code: Select all

x = 4467, y = 4107, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8Investigator
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199.C199.C199.C199.C$117.C199.C199.C199.C199.C199.C199.C$117.C199.C
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199.C199.C199.C199.C199.C199.C$117.C199.C199.C199.C199.C199.C199.C$
117.C199.C199.C199.C199.C199.C199.C$117.C199.C199.C199.C199.C199.C
199.C$117.C199.C199.C199.C199.C199.C199.C$117.C199.C199.C199.C199.C
199.C199.C$117.C199.C199.C199.C199.C199.C199.C$117.C199.C199.C199.C
199.C199.C199.C$117.C199.C199.C199.C199.C199.C199.C$117.C199.C199.C
199.C199.C199.C199.C!
EDIT: There are actually a lot of c/3s. rlifesrc finds a ton extremely quickly (although it also finds a ton of noninteracting or barely-technically-interacting flotillae to sift through...) Here are two extensibles, one where the 'common' glider escorts a pusha-taga-long (it looks like a diamond or other gemstone so I assume we're witnessing some kind of heist here) and another where various c/3s are able to pull a wick. The forms initially found by rlifesrc are at left.

Code: Select all

x = 49, y = 105, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2bo$b3o22bo$2bobo20b3o$2b5o19bobo$3bo2bo19b5o$3bo2bo20bo2bo$27bo2bo$2b
3o$bobobo20b3o$obobobo18bobobo$2bobo19bobobobo$3bo22bobo$6bo20bo$5b3o
22bo$4bobo22b3o$2b5o21bobo$2bo2bo20b5o$2bo2bo20bo2bo$26bo2bo2$28b3o$
27bobobo$26bobobobo$28bobo$29bo$26bo$25b3o$26bobo$26b5o$27bo2bo$27bo2b
o2$26b3o$25bobobo$24bobobobo$26bobo$27bo$30bo$29b3o$28bobo$26b5o$26bo
2bo$26bo2bo11$42bo$3b3o19bo15b3ob3o$3bobo18bobo15bobo2bo$3bob3o15bobob
o14b4obo$5bo2bo16bo2bo14bo$4bob2obo15bob4o14bo$31bo15bo$3bo22bob3obo
12b4o$2b3o25bo16bo$3bobo22b2o15b3o$3b5o21bo16bo$4bo3bo19b3o14bobo$6b4o
$8bo19bobo14b3o$6b3o$7bo20b3o14b3o$6bobo37bo$28b3o14b3o$6b3o20bo$28b3o
14bobo2$28bobo14b3o2$28b3o14b3o$46bo$28b3o14b3o$29bo$28b3o14bobo2$28bo
bo14b3o2$28b3o14b3o$46bo$28b3o14b3o$29bo$28b3o14bobo2$28bobo14b3o2$28b
3o14b3o$46bo$28b3o14b3o$29bo$28b3o14bobo2$28bobo14b3o2$28b3o14b3o$46bo
$45b3o2$45bobo!
It also found a ship with a slightly separated tail (left) that, if removed, reveals an extremely sparky 40c/120:

Code: Select all

x = 37, y = 18, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
3bo28bo$2b3o26b3o$3bobo26bobo$3b5o24b5o$4bo2bo25bo2bo$2b3o2bo23b3o2bo$
bobo26bobo$obo26bobo$2bobo26bobo$3b3o26b3o$3b2o27b2o$3bo28bo$5bo$4bobo
$3bobobo$2bo2bo$b4o$2b2o!
There are probably infinitely many horizontal c/3s, not just vertical, but I haven't yet figured out a pattern behind the different frontends rlifesrc fuses together.

EDIT: There are also infinitely many c/4s thanks to a pushalong (which can also push itself along as well as supporting yet another pushalong of its own). Notice the three phasing options.

Code: Select all

x = 40, y = 30, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
34b2o$33bo2bo$32b2obobo$31bobobo2bo$27bo2b3o4bobo$26bobo2b4o3bo$8bo16b
obobo2b2obo2bo$2bo4bobo26b2o$bobo2bobobo6b3o$obobo12bobo4b4o$17b3o3bob
obo$8bo13bo2bob3o$b3o3b3o8bo2bob5o2bo$bobo4bo8bobo2bo2b3obobo$b3o12bo
3bo2b2o2b3o$17bobo7bo$2bo4b3o16bobo$bobo3bobo8bo$obobo2b3o7b3o$18bo$8b
o$b3o3bobo$bobo2bo3bo6b3o$b3o3bobo7bobo$17b3o$3b2obobo$2bob4ob4obob2o$
3b2obo3bo2b4obo$4bobo3bobobob2o$14bobo!
EDIT: First nontrivial p28 from exploring the idea behind the wick and the related p8:

Code: Select all

x = 17, y = 16, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
6bobo$6bobo$6bobo$15bo$15bo$14b3o$15bo$2bo11b3o$5o3bo6bo$5o2b3o5bo$5o
3bo$2bo2$9b3o2$9b3o!
A simpler p16 shuttle with this principle will also be possible if a p8 (or just p16) dot sparker is discovered.

EDIT: sylvani's census turned up the p8 sparker I was looking for:

Code: Select all

x = 24, y = 26, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
10b3o$5bo11bo$4bobo2bobobo2bobo$3bo3b2o2bo2b2o3bo$4bo3bob3obo3bo2bo$2b
o2bob2o2bo2b2obo2bobo$bobo2bo2bobobo2bo2bo3bo$o3bo13bo3bo$bo3bo4b3o6b
obo$2bobo15bo$3bo15bobo$2bobo13bo3bo$bo3bo6bo4b2o3b2o$2o3b2o4b3o4bo3b
o$bo3bo6bo6bobo$2bobo15bo$3bo15bobo$2bobo6b3o4bo3bo$bo3bo13bo3bo$o3bo
2bo2bobobo2bo2bobo$bobo2bob2o2bo2b2obo2bo$2bo2bo3bob3obo3bo$4bo3b2o2b
o2b2o3bo$5bobo2bobobo2bobo$6bo11bo$11b3o!
(I feel like the stator actually can't be reduced further than this.) The census also turned up the first nontrivial p14 rotor.

EDIT 6/24: Started trying to look into pre-diamond catalysts (need a better name than pre-diamond). Found new oscillators albeit only one new period (69):

Code: Select all

x = 310, y = 43, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
.D.D.D.D48.3D.3D39.3D.3D64.3D.3D53.3D.3D56.D.3D.3D$.D.D.D.D50.D.D.D
39.D5.D64.D3.D55.D3.D.D56.D.D.D.D$.D.D.D.D50.D.D.D39.3D.3D64.3D.3D53.
3D.D.D56.D.D.D.3D$.D.D.D.D50.D.D.D41.D.D66.D.D3.D53.D.D.D.D56.D.D.D.D
.D$.3D.3D48.3D.3D41.D.D66.D.D3.D53.D.D.3D56.D.D.D.D.D$3.D3.D50.D.D.D
41.D.D66.D.D3.D53.D.D3.D56.D.D.D.D.D$3.D3.D48.3D.3D39.3D.3D64.3D.3D
53.3D.3D56.D.3D.3D4$96.A18.A54.2A$2.A3.A88.A.A16.A.A46.2A4.A2.2A57.A
4.A67.A$.A.A.A.A86.A3.A14.A3.A44.A2.A4.A3.A4.A6.A43.A.A2.A.A65.A.A$A
3.A3.A2.A81.A2.A.A14.A.A2.A42.A2.A6.A.A6.A4.A.A41.A2.A2.A2.A10.A53.A
2.A$.A5.A2.A.A79.A2.A.A16.A.A2.A42.2A8.A12.A2.A40.A.A4.A.A9.A.A53.A.A
$2.A3.A2.A2.A46.A32.A.A22.A.A60.A5.A.A41.A6.A10.A2.A53.A$2.A3.A2.A.A
46.A.A32.A24.A68.A61.A.A48.A$3.A.A4.A47.A2.A122.A65.A37.2A9.A.A$4.A
54.A.A121.A.A101.A2.A11.A$60.A121.A.A.A60.A38.A2.A12.3A$8.A48.A125.A.
A60.3A38.2A13.A2.A$7.3A46.A.A125.A62.A52.4A.A$8.A46.A.A.A240.A.2A.A$
49.2A5.A.A241.A3.A$48.A2.A5.A243.3A$47.A2.A14.2A$48.2A14.A2.A31.A12.A
55.A122.A$63.A2.A31.A.A10.A.A53.A.A122.A$64.2A33.A12.A53.A.A.A59.A62.
A$14.A78.A24.A48.A.A59.3A$8.A4.A.A76.A.A22.A.A48.A61.A$7.A.A2.A3.A75.
A2.A.A16.A.A2.A45.A$6.A2.A2.A3.A37.A38.A2.A.A14.A.A2.A45.A.A5.A17.2A
35.A$6.A.A2.A5.A35.A.A38.A3.A14.A3.A46.A2.A12.A8.A2.A33.A.A78.2A$7.A
2.A3.A3.A34.A2.A38.A.A16.A.A48.A.A4.A6.A.A6.A2.A34.A2.A10.A6.A58.A2.A
$11.A.A.A.A36.A.A39.A18.A50.A6.A4.A3.A6.2A36.A.A9.A.A4.A.A56.A2.A$12.
A3.A38.A123.2A2.A44.A10.A2.A2.A2.A57.2A$181.2A57.A.A2.A.A$241.A4.A43.
A$289.A.A$289.A2.A$290.A.A$291.A!
Also a pre-diamond track:

Code: Select all

x = 29, y = 44, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
16.2A$15.A2.A$16.A2.A$17.A2.A$18.2A13$2.A$.A.A$A2.A$A.A$.A$24.2A$23.A
2.A$24.A2.A$25.A2.A$26.2A9$13.A$12.A.A$13.A2$10.A$9.A.A$8.A2.A$8.A.A$
9.A!
EDIT: I forgot to also share this could-be-signal-generator, which Silversmith gave a completion of below:

Code: Select all

x = 20, y = 24, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
17bo$16bobo$16bo2bo$17bobo$18bo11$4bo$3bobo$4bo2$bo$obo$o2bo$bobo$2bo
!
Last edited by M. I. Wright on June 25th, 2025, 12:33 am, edited 1 time in total.

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silversmith
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Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by silversmith » June 24th, 2025, 4:21 am

Here's is a semi-complete set of pre-diamond conduits (aka. the x pentomino), where every input and output can be connected to some other conduit in the set, or to an existing conduit, with eaters where appropriate.

Code: Select all

x = 477, y = 173, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
139.D3.D3.D5.D3.D$4.D3.D3.D5.D3.D45.D3.D3.D5.D3.D7.D3.D41.D.D5.D4.D3.
D48.D3.D3.D5.5D.D3.D7.D3.D$5.D.D5.D5.D.D47.D.D5.D4.D3.D3.D4.D.D43.D7.
D3.D.D.D49.D.D5.D6.D3.D3.D3.D4.D.D$6.D7.D5.D49.D7.D3.D.D.D2.3D4.D43.D
.D5.D4.D.D.D50.D7.D5.D3.D.D.D2.3D4.D$5.D.D5.D5.D.D47.D.D5.D4.D.D.D3.D
4.D.D41.D3.D3.D6.D.D50.D.D5.D6.D3.D.D.D3.D4.D.D$4.D3.D3.D5.D3.D45.D3.
D3.D6.D.D8.D3.D107.D3.D3.D7.D4.D.D8.D3.D13$423.4D2.3D2.5D2.4D.4D3.4D$
422.D5.D3.D3.D3.D5.D2.D2.D$12.A331.2A76.4D2.D3.D3.D3.4D2.3D4.3D$11.A.
A82.D58.A187.A2.A75.D5.5D3.D3.D5.D2.D6.D$10.A3.A54.2A24.3D33.2A21.A.A
187.A2.A75.4D.D3.D3.D4.4D.D3.D.4D$11.A3.A52.A2.A24.D33.A2.A19.A3.A187.
A2.A$12.A3.A50.A2.A58.A2.A21.A3.A187.A2.A$13.A3.A50.2A60.2A23.A.A59.F
129.A2.A$14.A3.A137.A63.3D125.A2.A$15.A.A201.D2.D126.A.A$16.A202.D2.D
127.A$219.3D8.A109.3D$229.A.A107.D2.D$228.A3.A106.D2.D10.2A102.A$227.
A5.A105.3D10.A2.A100.A.A$228.A.A3.A116.A2.A100.A2.A$229.A.A3.A116.A2.
A99.A.A$211.3D18.A3.A116.A2.A99.A$210.D2.D19.A.A118.A.A85.A$210.D2.D20.
A120.A64.2A19.A.A$78.C21.3D37.C21.3D45.3D118.3D6.3D76.A2.A17.A3.A$77.
3C19.D2.D36.3C19.D2.D165.D2.D5.D2.D73.D.A2.A17.A3.A$78.C20.D2.D37.C20.
D2.D165.D2.D5.D2.D73.D2.2A19.A.A$5.C93.3D59.3D166.3D6.3D74.D24.A$4.3C
97.F61.F271.3D15.D$5.C74.A61.A294.D2.D14.3D$75.A3.A.A55.A3.A.A76.3D214.
D2.D15.D$74.A.A.A3.A53.A.A.A3.A74.D2.D214.3D$7.A65.A3.A3.A53.A3.A3.A75.
D2.D$2.A3.A.A65.A5.A55.A5.A76.3D118.3D$.A.A.A3.A65.A3.A57.A3.A197.D2.
D17.A$A3.A3.A67.A.A59.A.A198.D2.D16.A.A$.A5.A13.D55.A61.A199.3D16.A2.
A$2.A3.A13.3D334.A2.A$3.A.A15.D334.A2.A$4.A350.A2.A$356.A2.A$227.C21.
3D105.A2.A$226.3C19.D2.D106.A.A$227.C20.D2.D107.A$248.3D2$229.A$224.A
3.A.A$223.A.A.A3.A$222.A3.A3.A$223.A5.A$224.A3.A197.3D5.C$225.A.A198.
D2.D3.3C$226.A199.D2.D4.C$427.3D21.D3.D3.D5.D3.D$436.A15.D.D5.D4.D3.D
$435.A.A15.D7.D3.D.D.D$434.A3.A13.D.D5.D4.D.D.D$306.A126.A3.A13.D3.D3.
D6.D.D$305.A.A124.A3.A$304.A3.A122.A3.A$305.A3.A122.A.A$306.A.A124.A$
307.A2$154.D$153.3D$154.D8$149.A$79.A68.A.A274.3D$78.A.A66.A3.A273.D2.
D$77.A2.A65.A3.A274.D2.D$77.A.A65.A3.A276.3D$78.A65.A3.A$145.A.A$146.
A192.A$338.A.A$135.D201.A3.A$134.3D17.3D181.A3.A73.3D14.C$135.D18.D2.
D181.A.A74.D2.D12.3C$94.D59.D2.D182.A75.D2.D13.C18.D3.D3.D5.5D.D3.D$93.
3D59.3D259.3D33.D.D5.D6.D3.D3.D$94.D340.A18.D7.D5.D3.D.D.D$163.A270.A
.A16.D.D5.D6.D3.D.D.D$162.A.A57.2A209.A3.A14.D3.D3.D7.D4.D.D$155.D5.A
3.A55.A2.A209.A3.A$154.3D3.A3.A57.A2.A209.A.A$155.D3.A3.A59.A2.A198.3D
8.A$158.A3.A61.A.A198.D2.D$77.3D79.A.A63.A199.D2.D$76.D2.D80.A265.3D$
76.D2.D121.F$76.3D125.3D217.F$203.D2.D$203.D2.D$203.3D$305.A$304.A.A$
91.2A210.A3.A$90.A2.A210.A3.A$89.A2.A212.A.A$90.2A214.A$238.D$159.A77.
3D$158.A.A77.D$157.A3.A48.A109.D$158.A3.A46.A.A107.3D$159.A.A46.A3.A107.
D$160.A48.A3.A$210.A.A110.A$211.A110.A.A$321.A2.A$67.D253.A.A$59.F6.3D
224.C28.A$67.D157.D66.3C$224.3D66.C137.3C$225.D204.C2.C$135.D284.D9.C
2.C$134.3D91.A66.A123.3D8.3C21.D3.D3.D5.D3.D$135.D91.A.A60.A3.A.A123.
D33.D3.D4.D5.D.D$226.A2.A59.A.A.A3.A156.D.D.D5.D5.D$78.C147.A.A59.A3.
A3.A134.A22.D.D.D4.D5.D.D$77.3C118.C28.A61.A5.A134.A.A22.D.D4.D5.D3.D
$78.C118.3C90.A3.A134.A2.A$198.C92.A.A135.A.A$81.A210.A137.A$80.A.A63.
C$79.A2.A62.3C52.A$79.A.A64.C48.A3.A.A$80.A113.A.A.A3.A$149.A43.A3.A3.
A$148.A.A43.A5.A$147.A3.A43.A3.A$148.A3.A43.A.A$149.A.A45.A$150.A10$63.
D3.D3.D6.2D2.D3.D$64.D.D5.D4.D2.D2.D.D54.D3.D3.D6.2D2.D3.D$65.D7.D5.D
4.D56.D.D5.D4.D2.D2.D.D39.D3.D3.D5.D3.D7.D3.D58.D3.D3.D5.5D.D3.D$64.D
.D5.D5.D4.D.D56.D7.D5.D4.D41.D.D5.D4.D3.D3.D4.D.D60.D.D5.D6.D3.D3.D$63.
D3.D3.D5.4D.D3.D54.D.D5.D4.D2.D2.D.D41.D7.D3.D.D.D2.3D4.D62.D7.D5.D3.
D.D.D$140.D3.D3.D6.2D2.D3.D39.D.D5.D4.D.D.D3.D4.D.D60.D.D5.D6.D3.D.D.
D$202.D3.D3.D6.D.D8.D3.D58.D3.D3.D7.D4.D.D!
Here are some loops based on those conduits.

Code: Select all

x = 464, y = 151, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
207.A$206.A.A$205.A3.A$206.A3.A$41.A165.A.A$40.A.A165.A$39.A3.A183.A$
24.A13.A3.A183.A.A$23.A.A13.A.A183.A3.A$22.A2.A14.A181.D3.A3.A$22.A.A
196.3D3.A3.A$23.A55.A142.D5.A3.A$78.A.A148.A.A$26.D50.A3.A148.A$25.3D
50.A3.A17.A$26.D52.A3.A15.A.A120.3D$80.A3.A13.A3.A118.D2.D$81.A.A13.A
3.A93.C25.D2.D$82.A15.A.A93.3C24.3D$73.3D23.A95.C15.A$72.D2.D4.D129.A.
A79.2A14.A$53.D18.D2.D3.3D88.A38.A3.A77.A2.A12.A.A$52.3D17.3D5.D88.A.A
25.A10.A3.A75.3D.A2.A10.A3.A$53.D114.A3.A19.A3.A.A10.A.A3.A71.D2.D2.2A
4.A5.A5.A$167.A3.A19.A.A.A3.A10.A3.A.A70.D2.D7.A.A3.A3.A3.A$64.A101.A
3.A19.A3.A3.A14.A3.A69.3D7.A3.A3.A.A.A3.A$51.A11.A.A59.2A38.A3.A21.A5.
A16.A3.A77.A3.A5.A3.A.A$37.A12.A.A3.A5.A3.A57.A2.A36.A3.A23.A3.A18.A.A
79.A.A11.A$36.A.A10.A3.A.A.A5.A3.A57.A2.A36.A.A25.A.A20.A81.A154.A$36.
A2.A10.A3.A3.A5.A3.A52.D4.2A38.A27.A257.A.A$37.A.A11.A5.A7.A3.A50.3D
69.A116.D141.A3.A$38.A13.A3.A9.A.A52.D69.A.A114.3D29.A109.A3.A$53.A.A
11.A122.A3.A19.A94.D29.A.A109.A.A$12.A41.A131.D4.A3.A17.A.A122.A3.A
109.A$11.A.A171.3D4.A3.A15.A3.A120.A3.A$10.A3.A171.D6.A3.A13.A3.A122.A
.A$11.A3.A176.A3.A13.A3.A6.D59.A57.A$12.A.A176.A3.A15.A3.A4.3D57.A.A$
13.A178.A.A17.A3.A4.D57.A3.A5.D46.D$193.A19.A3.A62.A3.A3.3D44.3D$72.D
33.2A106.A.A64.A3.A3.D46.D115.D$71.3D31.A2.A106.A66.A3.A164.3D$72.D31.
A2.A20.A84.A27.A41.A.A166.D$105.2A20.A.A61.A20.A.A25.A.A41.A$126.A3.A
59.A.A18.A3.A23.A3.A78.A13.3D$72.A54.A3.A57.A3.A16.A5.A21.A3.A78.A.A
11.D2.D$71.A.A54.A.A59.A3.A14.A3.A3.A19.A3.A78.A3.A10.D2.D$70.A2.A55.A
61.A.A3.A10.A3.A.A.A19.A3.A78.A3.A11.3D$70.A.A119.A3.A.A10.A.A3.A19.A
3.A80.A.A$71.A123.A3.A10.A25.A.A82.A$194.A3.A38.A209.A$12.A182.A.A248.
A.A$11.A.A182.A15.D232.A3.A$10.A3.A92.A76.3D24.3D230.A3.A$9.A3.A3.D88.
A.A74.D2.D25.D230.A3.A$8.A3.A3.3D86.A3.A73.D2.D255.A3.A$7.A3.A5.D86.A
3.A4.D69.3D99.A155.A3.A$8.A.A92.A3.A4.3D169.A.A153.A3.A$9.A92.A3.A6.D
63.A105.A3.A62.A90.A.A$103.A3.A68.A.A103.A3.A62.A.A90.A$15.3D86.A3.A
66.A3.A5.D97.A.A62.A3.A99.3D$15.D2.D86.A.A68.A3.A3.3D97.A62.A3.A100.D
2.D$15.D2.D18.D4.2A62.A70.A3.A3.D162.A.A101.D2.D$16.3D17.3D2.A2.A133.A
3.A166.A103.3D$37.D4.A2.A133.A.A$43.2A135.A280.A$26.A81.A90.A260.A.A$
25.A.A79.A.A88.A.A252.D5.A3.A$24.A3.A77.A3.A86.A3.A250.3D3.A3.A$23.A3.
A77.A3.A88.A3.A250.D3.A3.A$22.A3.A77.A3.A90.A.A111.A142.A3.A$21.A3.A
77.A3.A92.A111.A.A142.A.A$22.A.A79.A.A190.3D11.A3.A142.A$23.A81.A190.D
2.D10.A3.A115.A$87.2A207.D2.D11.A.A115.A.A$86.A2.A4.D201.3D13.A115.A3.
A$87.A2.A2.3D17.3D234.A78.A3.A$25.A62.2A4.D18.D2.D232.A.A78.A.A$24.A.A
86.D2.D231.A3.A78.A$23.A3.A86.3D181.D46.D3.A3.A$24.A3.A268.3D44.3D3.A
3.A79.D$18.D6.A3.A92.A81.A93.D46.D5.A3.A77.3D$17.3D4.A3.A92.A.A79.A.A
146.A.A79.D$18.D4.A3.A86.D5.A3.A77.A3.A88.A57.A$22.A3.A86.3D3.A3.A79.A
3.A86.A.A$23.A.A88.D3.A3.A81.A3.A84.A3.A47.3D$24.A92.A3.A83.A3.A82.A3.
A47.D2.D84.3D$118.A.A85.A3.A82.A.A29.C18.D2.D84.D2.D$119.A87.A.A84.A
29.3C17.3D85.D2.D$208.A116.C107.3D9.C$60.A383.3C$59.A.A274.A108.C$2.A
55.A2.A261.A11.A.A$.A.A54.A.A261.A.A3.A5.A3.A21.A87.A$A3.A54.A261.A3.A
.A.A5.A3.A19.A.A85.A.A$.A3.A316.A3.A3.A5.A3.A17.A3.A83.A3.A$2.A.A20.2A
296.A5.A7.A3.A17.A3.A83.A3.A$3.A20.A2.A31.D264.A3.A9.A.A19.A.A85.A.A$
23.A2.A31.3D264.A.A11.A21.A87.A$24.2A33.D266.A35.3D56.A$362.D2.D54.A.A
$118.A243.D2.D53.A3.A$117.A.A77.C139.A25.3D52.A3.A3.D$116.A3.A75.3C
137.A.A78.A3.A3.3D$117.A3.A75.C137.A3.A76.A3.A5.D$118.A.A213.A3.A78.A.
A$77.A41.A52.A160.A3.A6.D73.A$64.A11.A.A92.A.A25.A6.A127.A3.A4.3D22.A$
10.D52.A.A9.A3.A13.A76.A3.A19.A3.A.A4.A.A127.A3.A4.D22.A.A54.3D$9.3D
50.A3.A7.A5.A11.A.A74.A3.A19.A.A.A3.A2.A3.A127.A3.A25.A3.A53.D2.D$4.2A
4.D52.A3.A5.A3.A3.A10.A2.A72.A3.A19.A3.A3.A2.A3.A129.A.A27.A3.A52.D2.D
$3.A2.A57.A3.A5.A.A.A3.A10.A.A71.A3.A21.A5.A2.A3.A6.D124.A27.A3.A54.3D
$4.A2.A57.A3.A5.A3.A.A12.A71.A3.A23.A3.A4.A3.A4.3D150.A3.A67.A$5.2A59.
A.A11.A86.A.A25.A.A6.A3.A4.D150.A3.A67.A.A$67.A100.A27.A8.A3.A153.A3.A
67.A3.A$194.A11.A.A155.A.A67.A3.A$78.C114.A.A11.A157.A67.A3.A$51.D5.3D
17.3C112.A3.A8.A27.A198.A3.A$50.3D3.D2.D18.C109.D4.A3.A6.A.A25.A.A196.
A3.A$51.D4.D2.D127.3D4.A3.A4.A3.A23.A3.A194.A3.A$32.A23.3D129.D6.A3.A
2.A5.A21.A3.A196.A.A$31.A.A15.A144.A3.A2.A3.A3.A19.A3.A198.A$30.A3.A
13.A.A142.A3.A2.A3.A.A.A19.A3.A$29.A3.A13.A3.A142.A.A4.A.A3.A19.A3.A$
30.A.A15.A3.A52.D89.A6.A25.A.A$31.A17.A3.A50.3D122.A$50.A3.A50.D$51.A.
A150.D$52.A55.A94.3D136.3D$107.A.A94.D137.D2.D81.D$91.A14.A2.A232.D2.D
80.3D$90.A.A13.A.A234.3D81.D$89.A3.A13.A238.A$88.A3.A252.A.A$89.A.A
252.A3.A$90.A254.A3.A$346.A.A$347.A$427.A$426.A.A$425.A3.A$424.A3.A$
193.A231.A.A$192.A.A231.A$191.A3.A$192.A3.A$193.A3.A$194.A3.A$195.A3.A
$196.A.A$197.A!
Last edited by silversmith on June 24th, 2025, 5:35 am, edited 1 time in total.
A mobile-first simulator with the tools I couldn’t find elsewhere: https://www.silversimulations.com/caplayer
Documentation: https://github.com/teraxtech/caplayer

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 24th, 2025, 4:51 am

Awesome!! Much much more organized than my initial wham attempts. There's a ton of updates I have to make to the stamp collections.

I'll add that, in trying to hunt for low repeat times to knock out osc periods, I mainly tried branching out from this X -> W -> X and variant X -> W -> active region that are extremely hard to feed due to low clearance:

Code: Select all

x = 23, y = 16, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
11.A$10.A.A$9.A2.A$9.A.A$10.A2$21.D$3.C5.3D8.3D$2.3C3.D2.D9.D$3.C4.D
2.D$8.3D$.A$A.A$A2.A$.A.A$2.A!
(EDIT: forgot to add the "variant X -> W -> active region" but it's the first 3 SLs in the RT 46 conduit below)

I derived two X -> X turns with RT 46 and 43 that turn in opposite directions, where the former can feed the latter but not vice versa, and neither one can feed a mirrored version of itself (as far as I could tell -- RT 43 comes close but may need an impossible SL):

Code: Select all

x = 124, y = 164, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
17.D.D.3D$17.D.D.D$17.3D.3D44.D.D.3D$19.D.D.D44.D.D3.D$19.D.3D44.3D.
3D$70.D3.D$70.D.3D6$24.2A.2A$23.A2.A2.A$24.A5.A44.2A$12.2A11.A.A.A44.
A2.2A$11.A2.A11.A.A13.A28.C3.A3.A$10.A2.A27.A.A26.3C3.A.A$10.A.A27.A
2.A27.C5.A$11.A28.A.A$41.A2$52.D$34.C16.3D11.2A$8.A24.3C16.D11.A2.A$
7.A.A24.C28.A2.A$6.A3.A53.2A$7.A3.A16.A3.A45.A$8.A.A11.A4.A.A.A.A43.A
.A$9.A11.A.A3.A2.A3.A41.A2.A$20.A2.A4.A2.2A.A41.A.A$21.A2.A4.2A2.A43.
A14.2A$22.A.A66.A2.2A$23.A64.C3.A3.A$70.C16.3C3.A.A$69.3C16.C5.A$16.C
53.C$10.2A3.3C$9.A2.A3.C51.A$10.A2.A53.A.A$10.A.A54.A2.A11.2A$9.A.A
14.A41.A2.A9.A2.A$9.A2.A12.A.A40.A.A9.A2.A$10.A2.A10.A3.A40.A11.2A$
11.2A12.A2.A66.A$24.A2.A66.A.A$25.A2.A64.A2.A$8.2A16.A.A64.A.A$7.A2.
2A15.A66.A14.2A$8.A3.A95.A2.2A$9.A.A93.C3.A3.A$10.A76.C16.3C3.A.A$86.
3C16.C5.A$87.C$3.C$2.3C80.A$3.C80.A.A$24.A59.A2.A11.2A$.A21.A.A59.A2.
A9.A2.A$A.A19.A2.A59.A.A9.A2.A$A2.A9.A7.A2.A61.A11.2A$.A.A8.A.A7.2A
88.A$2.A8.A3.A95.A.A$12.A3.A93.A2.A$13.A.A94.A.A$14.A96.A2$122.D$104.
C16.3D$103.3C16.D$104.C2$102.A$101.A.A$101.A2.A$102.A2.A$102.A.A$103.
A27$76.2A.2A$75.A2.A2.A$76.A5.A$64.2A11.A.A.A$63.A2.A11.A.A13.A$62.A
2.A27.A.A$62.A.A27.A2.A$63.A28.A.A$93.A14.2A$107.A2.2A$104.C3.A3.A$
86.C16.3C3.A.A$60.A24.3C16.C5.A$59.A.A24.C$58.A3.A$59.A3.A16.A3.A$60.
A.A11.A4.A.A.A.A$61.A11.A.A3.A2.A3.A11.2A$72.A2.A4.A2.2A.A10.A2.A$73.
A2.A4.2A2.A10.A2.A$74.A.A20.2A$75.A35.A$110.A.A$109.A2.A$68.C40.A.A$
62.2A3.3C40.A$61.A2.A3.C$62.A2.A55.D$62.A.A38.C16.3D$61.A.A14.A23.3C
16.D$61.A2.A12.A.A23.C$45.2A.2A12.A2.A10.A3.A$44.A2.A2.A12.2A12.A2.A
20.A$45.A5.A24.A2.A20.A.A$33.2A11.A.A.A26.A2.A19.A2.A11.2A$32.A2.A11.
A.A10.2A16.A.A20.A2.A9.A2.A$31.A2.A24.A2.2A15.A21.A.A9.A2.A$31.A.A26.
A3.A37.A11.2A$32.A28.A.A$62.A3$55.C$29.A24.3C$28.A.A24.C$27.A3.A44.A$
28.A3.A16.A3.A21.A.A$29.A.A11.A4.A.A.A.A19.A2.A$30.A11.A.A3.A2.A3.A9.
A7.A2.A$41.A2.A4.A2.2A.A8.A.A7.2A$42.A2.A4.2A2.A8.A3.A$43.A.A18.A3.A$
44.A20.A.A$66.A2$37.C$31.2A3.3C$30.A2.A3.C$31.A2.A$32.2A!
I think the X -> active region may help unlock a proper low-period loop here, but I give up for today.

User avatar
CARuler
Posts: 1337
Joined: July 30th, 2024, 5:38 pm
Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by CARuler » June 24th, 2025, 7:29 pm

p17

Code: Select all

x = 7, y = 8, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2b3o$bo3bo$bo3bo$7o$7o$bo3bo$bo3bo$2b3o!
edit:
515 tick diehard

Code: Select all

x = 6, y = 4, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2bo$2bo$6o$2bo!
edit2:
becomes a p9 (which i'm going to name the diamond jail)

Code: Select all

x = 5, y = 5, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
5o$obobo$2ob2o$obobo$5o!
edit3:
becomes p6

Code: Select all

x = 7, y = 7, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
3bo$2bobo$bobobo$obobobo$bobobo$2bobo$3bo!
likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
ADHD user
mostly inactive

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 25th, 2025, 2:09 am

The oscs are all in the collection in the first post, but naming the p9 is fair play! I don't think anyone's proposed another name yet. rabbit joked about calling the p17 "Narcissus" which I like too.

Speaking of the osc collection, I finally got the chance to update it and the conduit collection. The most important development is that I finally found a ~fast X->X that can feed itself at 90 degrees in either direction:

Code: Select all

x = 57, y = 127, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
45.D$44.3D$43.2BD2B$42.7B$41.8B$38.A2.7B$37.A.A.8B$36.A3.A8B$35.A2.2A
.8B$36.2A4.6B$43.5B$43.6B$42.8B$41.9B$36.2B.10B2.2A$35.14B.A2.A$35.
14B2.A2.A$32.2A2.13B3.2A$31.A2.A2.13B$32.A2.A2.11B$33.2A3.11B$38.12B
3.2A$36.A.13B.A2.A$35.A.A.12B2.A2.A$34.A2.A2.12B2.2A$33.A2.A3.12B$28.
A5.A2.A.12B$27.A.A5.A2.A10B$21.A4.A2.A5.A.A.9B$20.A.A3.A.A7.A3.8B3.2A
$18.2A3.A3.A2.2B6.A2.8B.A2.A$17.A3.A2.A4.4B4.A.A2.7B2.A2.A$14.2A2.A.A
.2A4.5B4.A2.A2.7B2.2A$12.2A2.A2.A4.8B6.A2.A.8B$11.A3.A2.3B2.10B5.A.A
2.9B$6.2B4.A.A2.16B6.A3.8B$5.4B4.A2.18B4.12B$4.6B5.20B2.12B$4.45B$3.
3BC38BC3B$3.2B3C36B3CB2.2A$4.2BC38BCB2.A2.A$6.41B.A2.A$4.A2.10B2.17B
2.3B.4B3.2A$3.A.A4.5B5.6B2.B4.2B$3.A2.A4.3B2.A3.5B6.A$4.A.A5.B2.A.A3.
2B7.A.A$5.A8.A2.A6.A4.A2.A$14.A.A6.A.A3.A.A$15.A6.A2.A4.A$22.A.A$23.A
21$25.A$24.A.A$18.A4.A2.A$17.A.A3.A.A$15.2A3.A3.A2.2B6.A$14.A3.A2.A4.
4B4.A.A$11.A3.A.A.2A4.5B4.A2.A$10.A.A3.A4.8B6.A2.A$9.A2.A2.3B2.10B5.A
.A$3.2B4.A.A2.16B6.A$2.4B4.A2.18B4.5B$.6B5.20B2.9B3.2A$.43B.A2.A$3BC
38BCB2.A2.A$2B3C36B3CB2.2A$.2BC38BC3B$3.43B$.A2.10B2.17B2.3B.7B$A.A4.
5B5.6B2.B4.2B8.7B$A2.A4.3B2.A3.5B6.A11.8B$.A.A5.B2.A.A3.2B7.A.A6.2A2.
9B$2.A8.A2.A6.A4.A2.A5.A2.A.8B$11.A.A6.A.A3.A.A5.A2.A2.7B2.2A$12.A6.A
2.A4.A7.2A2.7B2.A2.A$19.A.A16.8B.A2.A$20.A12.A3.8B3.2A$32.A.A.9B$32.A
2.A10B$31.A2.A.12B$30.A2.A3.12B$31.A2.A2.12B2.2A$32.A.A.12B2.A2.A$33.
A.13B.A2.A$35.12B3.2A$30.2A3.11B$29.A2.A2.11B$28.A2.A2.13B$29.2A2.13B
3.2A$32.14B2.A2.A$32.14B.A2.A$33.2B.10B2.2A$38.9B$39.8B$40.6B$40.5B$
33.2A4.6B$32.A2.2A.8B$33.A3.A8B$34.A.A.8B$35.A2.7B$38.8B$39.7B$40.2BD
2B$41.3D$42.D!
Its repeat time is 47 and its full period is 108. That means that all oscillator periods from 47 and up are now possible if you just make a diamond(!)-shaped track with LCM(desiredperiod, 108*4)/108 copies of the conduit and space its signals out evenly, because you'll get a track that oscillates at desiredperiod. rabbit helped demonstrate by constructing the p47 loop, attached as a file. She also pointed out that finding a coprime-period loop is an easy way to help demonstrate that it works for any period (and 47 is prime!), so here's the reasonably-sized p60 loop:

Code: Select all

x = 220, y = 220, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
110.A$109.A.A$105.A2.A3.A5.A$96.2A6.A.A2.A3.A3.A.A$95.A2.A4.A3.A2.A.A
3.A3.A$94.A2.A4.A3.A4.A5.A3.A8.A$95.2A6.A.A7.2B3.A.A2.A5.A.A$104.A6.
5B3.A2.ABA4.A2.A$101.2B4.B2.6B5.A3BA4.A.A$85.2A3.4B.3B2.BA15B2.B3A3BA
2B2.A$84.A2.A.11BAB2ABA13B3A5BA2B$83.A2.A2.BD5BA3B5A13B7A3BA3B$84.2A
2.B3D3BABABA17B5ABABABA5B$87.3BD5BABA4BA14B3A5BA6B$87.10BA21BA13B$87.
12B2.20B5.8B$86.12B4.3B4A11B2.A4.7B2.A$85.8B3.A6.16B2.A.A2.8B.A.A$84.
9B2.A.A5.3BA6B2.3B2.A2.A2.8BA3.A$85.8B.A2.A6.2BABA3B4.A3.A.A3.8B.2A2.
A$83.A2.6BA2.A2.A4.AB3A4.2A.A.A3.A5.6B4.2A$82.A.A2.4B3A2.A.A4.BABA4.A
2.A3.A8.5B$81.A3.A.3BABABA2.A6.BA2.A.A7.A7.3BA2B$80.A3.A3.BA3B3A3.2A
6.A.A7.A7.3B3A2B$81.A.A4.6BA2B.A2.A4.A5.A.A.A5.A2.2B3ABA2B$82.A4.BAB
4A3BA4.A4.A3.A.A.A5.A.A2.2BA3BA3B.2B$85.7BA4B.A4.A4.A.A9.A3.A.3BA3BA
6B$84.4BA3BA3B3.A2.A6.A9.A3.A2.4BAB3A5B$81.A2.5B3A4B2.A4.A16.A.A3.5B
3A5B2.A$80.A.A2.12B.A3.A18.A3.7BA5B2.A.A$79.A3.A.13B.A3.A15.A6.5BABA
3B2.A3.A$78.A3.A3.12B2.A3.A13.A.A5.6BA4B3.A3.A$79.A.A5.11B3.A3.A11.A
3.A3.6B2A4B2.A3.A$80.A6.11B2.A3.A13.A3.A.13B.A3.A$82.A3.13B2.A.A15.A.
A2.2BA3B3A3B.A3.A$81.A.A3.13B2.A17.A2.2BA9B2.A4.A$70.A9.A3.A2.14B22.B
A10B3.A2.A$69.A.A9.A3.A.14B23.12B.A4.A$68.A3.A.A.A5.A.A2.10B.2B21.A4.
10BA4.A$67.A5.A.A.A5.A2.9B25.A.A4.9B.A2.A8.A$68.A.A7.A7.8B25.A3.A3.8B
3.2A8.A.A$58.A6.2B2.A.A7.A7.6B27.A3.A.8B10.A2.A3.A5.A$57.A.A4.4B4.A2.
A3.A8.5B28.A.A2.7B2.2A6.A.A2.A3.A3.A.A$56.A2.A4.5B4.2A.A.A3.A5.6B4.2A
22.A2.4BA2B2.A2.A4.A3.A2.A.A3.A3.A$55.A2.A6.8B4.A3.A.A3.8B.2A2.A23.4B
3AB.A2.A4.A3.A4.A5.A3.A8.A$56.A.A5.10B2.2BA2.A2.A2.8BA3.A23.4B3A2B2.
2A6.A.A7.2B3.A.A2.B5.A.A$57.A6.16B2.A.A2.3BABABA.A.A25.4BA3B11.A6.5B
3.A2.3B4.A2.A$54.5B4.10BAB2ABA2B2.A4.B2ABABA2.A27.7B8.2B4.B2.3BA2B5.
5B4.A.A$46.2A3.BA7B2.11BA8B5.BAB4AB31.7B.3B2.10BABABA2B2.10B2.A$45.A
2.A.3BA17B3ABA2BA10BABA2B32.23BA2B2A12B3A$44.A2.A2.4BA15B2ABA2BA13BA
3B32.18B2A2BAB4A11BA5B$45.2A2.A2B3A14BA2B3A19B29.2A2.16BAB3A3BABA11B
3A4B$48.BABA2BA15BA2B4A16B29.A2.A2.16BA2B2A2BABA11BA2BA2BA$48.BABABA
17BA2BA16B32.A2.A.17B9A12BABABAB$48.2B3A2B.3B2.11BA2B2AB2.10B2.A31.2A
3.9B2.7BA3BA8B5.2B3A3B$47.7B8.2B4.B2.2BABAB5.5B4.A.A38.5B4.6BA3BA7B2.
A4.7B2.A$46.8B11.A6.2BA2B3.A2.3B4.A2.A41.A6.6BABA7B2.A.A2.8B.A.A$45.
9B2.2A6.A.A7.2B3.A.A2.B5.A.A41.A.A5.7BA2B2.3B2.A2.A2.8BA3.A$46.8B.A2.
A4.A3.A4.A5.A3.A8.A41.A2.A6.8B4.A3.A.A3.8B.2A2.A$44.A2.7B2.A2.A4.A3.A
2.A.A3.A3.A52.A2.A4.5B4.2A.A.A3.A5.6B4.2A$43.A.A2.7B2.2A6.A.A2.A3.A3.
A.A54.A.A4.4B4.A2.A3.A8.5B$42.A3.A.8B10.A2.A3.A5.A56.A6.2B2.A.A7.A7.
6B$41.A3.A3.8B3.2A8.A.A73.A.A7.A7.8B$42.A.A4.9B.A2.A8.A73.A5.A.A.A5.A
2.9B$43.A4.10BA4.A82.A3.A.A.A5.A.A2.10B.2B$46.12B.A4.A82.A.A9.A3.A.
14B$45.3B6A3B3.A2.A84.A9.A3.A2.14B$42.A2.2BAB2A2BA3B2.A4.A94.A.A3.13B
2.A$41.A.A2.2BAB6A2B.A3.A96.A3.13B2.A.A$40.A3.A.4BA2BA2BA2B.A3.A93.A
6.3BA7B2.A3.A$39.A3.A3.B2A3BA3BAB2.A3.A91.A.A5.2BABA6B3.A3.A$40.A.A5.
2BAB2A2BA2B3.A3.A89.A3.A3.2BA2B2A5B2.A3.A$41.A6.3B5A3B2.A3.A91.A3.A.
2BA2BABA5B.A3.A$43.A3.4BABA6B2.A.A93.A.A2.BA2B6A2B.A3.A$42.A.A3.2B2AB
A7B2.A95.A2.BA2B3A5B2.A4.A$31.A9.A3.A2.2BABA9B100.2B2ABA2BABAB3.A2.A$
30.A.A9.A3.A.3BA10B101.2BABABA2BA2B.A4.A$29.A3.A.A.A5.A.A2.10B.2B99.A
4.10BA4.A$28.A5.A.A.A5.A2.9B103.A.A4.4BABABA.A2.A8.A$29.A.A7.A7.8B
103.A3.A3.8B3.2A8.A.A$19.A6.2B2.A.A7.A7.6B105.A3.A.8B10.A2.A3.A5.A$
18.A.A4.4B4.A2.A3.A8.5B106.A.A2.7B2.2A6.A.A2.A3.A3.A.A$17.A2.A4.5B4.
2A.A.A3.A5.6B4.2A100.A2.7B2.A2.A4.A3.A2.A.A3.A3.A$16.A2.A6.8B4.A3.A.A
3.8B.2A2.A101.8B.A2.A4.A3.A4.A5.A3.A8.A$17.A.A5.10B2.3B2.A2.A2.8BA3.A
101.9B2.2A6.A.A7.2B3.A.A2.B5.A.A$18.A6.2BA13B2.A.A2.8B.A.A103.8B11.A
6.5B3.A2.3B4.A2.A$15.5B4.2B3ABA11B2.A4.7B2.A105.7B8.2B4.B2.6B5.5B4.A.
A$7.2A3.9B2.2BAB3AB2ABA8B5.8B109.7B.3B2.17B2.10B2.A$6.A2.A.13BA3BABAB
ABA20B110.6BA20BABA13B$5.A2.A2.12BA3BA6BA9BA10B110.5BABA18BA4BA13B$6.
2A2.12B3ABA16B3A9B107.2A2.3BAB3A17BA2BA2BA13B$9.2BA11B3A18B3A7B107.A
2.A2.3B2A19BA2BA3BA12B$9.BABA11BA20BA6B110.A2.A.4B3A18B3A2B3A11B$9.A
3BA2B.3B2.12BA4B2.10B2.A109.2A3.3BA5B2.15BABABA4.8B$8.A3BA2B8.2B4.B2.
3BA2B5.5B4.A.A116.B2A2B4.15B3A2.A2.7B4.A$7.A3BA3B11.A6.3BAB3.A2.3B4.A
2.A119.A6.15BA2.A.A.4BA3B2.A.A$6.A4B2A2B2.2A6.A.A7.2B3.A.A2.B5.A.A
119.A.A5.10B2.3B2.A3.A3BABA2B2.A2.A$7.ABABA3B.A2.A4.A3.A4.A5.A3.A8.A
119.A2.A6.8B4.A2.A2.2A.2BABA3B3.A.A$5.A2.5A2B2.A2.A4.A3.A2.A.A3.A3.A
130.A2.A4.5B4.2A.A.A2.2A4.2BA3B5.A$4.A.A2.5A2B2.2A6.A.A2.A3.A3.A.A
132.A.A4.4B4.A2.A3.A8.2BA2B$3.A3.A.B5A2B10.A2.A3.A5.A134.A6.2B2.A.A7.
A8.3B2AB$2.A3.A3.B3A4B3.2A8.A.A151.A.A7.A8.4BABAB$3.A.A4.2BA6B.A2.A8.
A151.A5.A.A.A8.5B2A2B2.A$4.A4.10BA4.A160.A3.A.A.A4.BA.5BAB2AB2.A.A$7.
12B.A4.A160.A.A8.BA9BA2B.A3.A$6.12B3.A2.A162.A9.ABA3BA5BAB2.A3.A$3.A
2.12B2.A4.A169.A2.4ABA7B3.A.A$2.A.A2.12B.A3.A169.A.A2.A3BA8B3.A$.A3.A
.13B.A3.A167.A3.A2.A2BA7B6.A$A3.A3.12B2.A3.A165.A3.A3.11B5.A.A$.A.A5.
11B3.A3.A165.A3.A2.12B3.A3.A$2.A6.7BA2BA2.A3.A167.A3.A.13B.A3.A$4.A3.
8BA3BA2.A.A169.A3.A.12B2.A.A$3.A.A3.7BAB4A2.A169.A4.A2.12B2.A$2.A3.A
2.BA5BA3BABA9.A162.A2.A3.12B$3.A3.A.2BA9BAB8.A.A160.A4.A.12B$4.A.A2.B
2ABA5B.AB4.A.A.A3.A160.A4.A10B4.A$5.A2.2B2A5B8.A.A.A5.A151.A8.A2.A.6B
A2B4.A.A$8.BABA4B8.A7.A.A151.A.A8.2A3.4B3AB3.A3.A$9.B2A3B8.A7.A.A2.2B
6.A134.A5.A3.A2.A10.2B5AB.A3.A$10.2BA2B8.A3.A2.A4.4B4.A.A132.A.A3.A3.
A2.A.A6.2A2.2B5A2.A.A$4.A5.3BA2B4.2A2.A.A.2A4.5B4.A2.A130.A3.A3.A.A2.
A3.A4.A2.A2.2B5A2.A$3.A.A3.3BABA2B.2A2.A2.A4.8B6.A2.A119.A8.A3.A5.A4.
A3.A4.A2.A.3BABABA$3.A2.A2.2BABA3BA3.A2.3B2.10B5.A.A119.A.A5.B2.A.A3.
2B7.A.A6.2A2.2B2A4BA$4.A.A2.3BA4B.A.A2.A15B6.A119.A2.A4.3B2.A3.BA3B6.
A11.3BA3BA$5.A4.7B2.A2.3A15B4.2B2AB116.A.A4.5B5.2BA3B2.B4.2B8.2BA3BA$
9.8B4.ABABA15B2.5BA3B3.2A109.A2.10B2.4BA12B2.3B.2BA3BA$9.11B3A2B3A18B
3A4B.A2.A110.6BA20BA11BABAB$9.12BA3BA2BA19B2A3B2.A2.A107.7B3A18B3A11B
A2B$9.13BA2BA2BA17B3ABA3B2.2A107.9B3A16BAB3A12B2.2A$10.13BA4BA18BABA
5B110.10BA9BA6BA3BA12B2.A2.A$12.13BABA20BA6B110.20BABABABA3BA13B.A2.A
$10.A2.10B2.17B2.3B.7B109.8B5.8BAB2AB3ABA2B2.9B3.2A$9.A.A4.5B5.6B2.B
4.2B8.7B105.A2.7B4.A2.11BAB3A2B4.5B$9.A2.A4.3B2.A3.5B6.A11.8B103.A.A.
8B2.A.A2.13BA2B6.A$10.A.A5.B2.A.A3.2B7.A.A6.2A2.9B101.A3.A8B2.A2.A2.
3B2.10B5.A.A$11.A8.A3.A5.A4.A3.A4.A2.A.8B101.A2.2A.8B3.A.A3.A4.8B6.A
2.A$21.A3.A3.A.A2.A3.A4.A2.A2.7B2.A100.2A4.6B5.A3.A.A.2A4.5B4.A2.A$
22.A.A3.A3.A2.A.A6.2A2.7B2.A.A106.5B8.A3.A2.A4.4B4.A.A$23.A5.A3.A2.A
10.8B.A3.A105.6B7.A7.A.A2.2B6.A$30.A.A8.2A3.8B3.A3.A103.8B7.A7.A.A$
31.A8.A2.A.ABABA4B4.A.A103.9B2.A5.A.A.A5.A$39.A4.A10B4.A99.2B.10B2.A.
A5.A.A.A3.A$38.A4.A.2BA2BABABA2B101.10BA3B.A3.A9.A.A$39.A2.A3.BABA2BA
B2A2B100.9BABA2B2.A3.A9.A$38.A4.A2.5B3A2BAB2.A95.A2.7BAB2A2B3.A.A$39.
A3.A.2B6A2BAB2.A.A93.A.A2.6BABA4B3.A$38.A3.A.5BABA2BA2B.A3.A91.A3.A2.
3B5A3B6.A$37.A3.A2.5B2A2BA2B3.A3.A89.A3.A3.2BA2B2ABA2B5.A.A$36.A3.A3.
6BABA2B5.A.A91.A3.A2.BA3BA3B2AB3.A3.A$37.A3.A2.7BA3B6.A93.A3.A.2BA2BA
2BA4B.A3.A$38.A.A2.13B3.A96.A3.A.2B6ABA2B2.A.A$39.A2.13B3.A.A94.A4.A
2.3BA2B2ABA2B2.A$41.14B2.A3.A9.A84.A2.A3.3B6A3B$41.14B.A3.A9.A.A82.A
4.A.12B$42.2B.10B2.A.A5.A.A.A3.A82.A4.A10B4.A$47.9B2.A5.A.A.A5.A73.A
8.A2.A.9B4.A.A$48.8B7.A7.A.A73.A.A8.2A3.8B3.A3.A$49.6B7.A7.A.A2.2B6.A
56.A5.A3.A2.A10.8B.A3.A$49.5B8.A3.A2.A4.4B4.A.A54.A.A3.A3.A2.A.A6.2A
2.7B2.A.A$42.2A4.6B5.A3.A.A.2A4.5B4.A2.A52.A3.A3.A.A2.A3.A4.A2.A2.7B
2.A$41.A2.2A.8B3.A.A3.A4.8B6.A2.A41.A8.A3.A5.A4.A3.A4.A2.A.8B$42.A3.A
8B2.A2.A2.3B2.2BA7B5.A.A41.A.A5.B2.A.A3.2B7.A.A6.2A2.9B$43.A.A.8B2.A.
A2.7BABA6B6.A41.A2.A4.3B2.A3.2BA2B6.A11.8B$44.A2.7B4.A2.7BA3BA6B4.5B
38.A.A4.5B5.BABA2B2.B4.2B8.7B$47.3B3A2B5.8BA3BA7B2.9B3.2A31.A2.10B2.B
2A2BA11B2.3B.2B3A2B$48.BABABA12B9A17B.A2.A32.16BA2BA17BABABAB$48.A2BA
2BA11BABA2B2A2BA16B2.A2.A29.16B4A2BA15BA2BABAB$48.4B3A11BABA3B3ABA16B
2.2A29.19B3A2BA14B3A2BA2.2A$49.5BA11B4ABA2B2A18B32.3BA13BA2BAB2A15BA
4B2.A2.A$51.3A12B2A2BA23B32.2BABA10BA2BAB3A17BA3B.A2.A$49.A2.10B2.2BA
BABA10B2.3B.7B31.B4ABAB5.8BA11B2.7BAB3.2A$48.A.A4.5B5.2BA3B2.B4.2B8.
7B27.A2.ABAB2AB4.A2.2BAB2ABA10B4.5B$48.A2.A4.3B2.A3.5B6.A11.3BA4B25.A
.A.ABABA3B2.A.A2.16B6.A$49.A.A5.B2.A.A3.2B7.A.A6.2A2.2B3A4B23.A3.A8B
2.A2.A2.A2B2.10B5.A.A$50.A8.A3.A5.A4.A3.A4.A2.A.B3A4B23.A2.2A.8B3.A.A
3.A4.8B6.A2.A$60.A3.A3.A.A2.A3.A4.A2.A2.2BA4B2.A22.2A4.6B5.A3.A.A.2A
4.5B4.A2.A$61.A.A3.A3.A2.A.A6.2A2.7B2.A.A28.5B8.A3.A2.A4.4B4.A.A$62.A
5.A3.A2.A10.8B.A3.A27.6B7.A7.A.A2.2B6.A$69.A.A8.2A3.8B3.A3.A25.8B7.A
7.A.A$70.A8.A2.A.9B4.A.A25.9B2.A5.A.A.A5.A$78.A4.A10B4.A21.2B.10B2.A.
A5.A.A.A3.A$77.A4.A.12B23.14B.A3.A9.A.A$78.A2.A3.10BAB22.14B2.A3.A9.A
$77.A4.A2.9BA2B2.A17.A2.13B3.A.A$78.A3.A.3B3A3BA2B2.A.A15.A.A2.13B3.A
$77.A3.A.13B.A3.A13.A3.A2.11B6.A$76.A3.A2.4B2A6B3.A3.A11.A3.A3.11B5.A
.A$75.A3.A3.4BA6B5.A.A13.A3.A2.12B3.A3.A$76.A3.A2.3BABA5B6.A15.A3.A.
13B.A3.A$77.A.A2.5BA7B3.A18.A3.A.12B2.A.A$78.A2.5B3A5B3.A.A16.A4.A2.
4B3A5B2.A$80.5B3ABA4B2.A3.A9.A6.A2.A3.3BA3BA4B$80.6BA3BA3B.A3.A9.A.A
4.A4.A.4BA7B$81.2B.3BA3BA2B2.A.A5.A.A.A3.A4.A4.A3B4ABAB4.A$86.2BAB3A
2B2.A5.A.A.A5.A4.A2.A.2BA6B4.A.A$87.2B3A3B7.A7.A.A6.2A3.3A3BAB3.A3.A$
88.2BA3B7.A7.A.A2.AB6.A2.ABABA3B.A3.A$88.5B8.A3.A2.A4.ABAB4.A.A2.3A4B
2.A.A$81.2A4.6B5.A3.A.A.2A4.3ABA4.A2.A2.A6B2.A$80.A2.2A.8B3.A.A3.A4.
3BABA2B6.A2.A.8B$81.A3.A8B2.A2.A2.3B2.6BA3B5.A.A2.9B$82.A.A.8B2.A.A2.
16B6.A3.8B$83.A2.7B4.A2.11B4A3B4.12B$86.8B5.20B2.12B$87.13BA21BA10B$
87.6BA5B3A14BA4BABA9B$87.5BABABAB5A17BABABA7B2.2A$88.3BA3B7A13B5A3BA
7B2.A2.A$90.2BA5B3A13BAB2ABA11B.A2.A$88.A2.2BA3B3AB2.15BAB2.3B.4B3.2A
$87.A.A4.A3BA5.6B2.B4.2B$87.A2.A4.ABA2.A3.5B6.A$88.A.A5.A2.A.A3.2B7.A
.A6.2A$89.A8.A3.A5.A4.A3.A4.A2.A$99.A3.A3.A.A2.A3.A4.A2.A$100.A.A3.A
3.A2.A.A6.2A$101.A5.A3.A2.A$108.A.A$109.A!
Note that both of these use an earlier version of the conduit (first version of it discovered) with unoptimized/unreduced catalysts.

EDIT: I think I'm going to call the diamond and X-pentomino a "bam". That way we can have wham->bam and bam->wham conduits and such.
Attachments
5w-p47-loop-rabbit.rle
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poolperson87
Posts: 21
Joined: January 5th, 2021, 2:48 am

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by poolperson87 » June 25th, 2025, 2:26 pm

I was exploring some variants of this rule. As I went to Catagolue to apgsearch one of them, I found that the one with b3k added had been apgsearched - and it contains a 32c/1280o:

Code: Select all

x = 17, y = 15, rule = B3aikr4aceirw567/S2-a3-aejr4cknqy5ejky8
2bo$bo4bo$obo2b3o$b4ob2o$2bo2bo2bo$3b4obo$5bobo$3b2o$2b3o$b3o4bo$2bo4bo2bo3b
3o$3bo3bo6bobo$4bob3o5b3o$5bob2o$7bobo!
As well as a 10c/108o too

Code: Select all

x = 12, y = 6, rule = B3aikr4aceirw567/S2-a3-aejr4cknqy5ejky8
7b3o$2bo4bo3bo$b3o3b2o2bo$5o6bo$b3o4b3o$2bo!
Edit: here's a 40c/128 in that rule plus S7e

Code: Select all

x = 83, y = 113, rule = B3aikr4aceirw567/S2-a3-aejr4cknqy5ejky7e8
61bo4bo$16bo4bo38b3o2b3o$15b3o2b3o36b2o2b2o2b2o$14b2o2b2o2b2o34b2o3b2o
3b2o$13b2o3b2o3b2o34b2o2b2o2b2o$14b2o2b2o2b2o36b3o2b3o$15b3o2b3o38bo4b
o$16bo4bo38bo6bo$15bo6bo36bobo4bobo$14bobo4bobo34bobobo2bobobo$13bobob
o2bobobo33b3obo2bob3o$13b3obo2bob3o33b3ob4ob3o$13b3ob4ob3o33b3ob4ob3o$
13b3ob4ob3o33b3ob4ob3o$13b3ob4ob3o33b3obo2bob3o$13b3obo2bob3o33bobobo
2bobobo$13bobobo2bobobo34bobo4bobo$14bobo4bobo36bo6bo$15bo6bo38bo4bo$
16bo4bo38b3o2b3o$15b3o2b3o36b2o2b2o2b2o$14b2o2b2o2b2o34b2o3b2o3b2o$13b
2o3b2o3b2o34b2o2b2o2b2o$14b2o2b2o2b2o36b3o2b3o$15b3o2b3o38bo4bo$16bo4b
o21$51bo8b8o8bo$6bo8b8o8bo18bobo6b10o6bobo$5bobo6b10o6bobo16bobob3o2b
2o3b2o3b2o2b3obobo$4bobob3o2b2o3b2o3b2o2b3obobo15bob2ob4o5b2o5b4ob2obo
$4bob2ob4o5b2o5b4ob2obo15bo2b3ob2ob2obo2bob2ob2ob3o2bo$4bo2b3ob2ob2obo
2bob2ob2ob3o2bo14bo2b2o2bo3b3o4b3o3bo2b2o2bo$3bo2b2o2bo3b3o4b3o3bo2b2o
2bo10b2o4b5o3bobo4bobo3b5o4b2o$2o4b5o3bobo4bobo3b5o4b2o10bo2b2o2bo3b3o
4b3o3bo2b2o2bo$3bo2b2o2bo3b3o4b3o3bo2b2o2bo14bo2b3ob2ob2obo2bob2ob2ob
3o2bo$4bo2b3ob2ob2obo2bob2ob2ob3o2bo15bob2ob4o5b2o5b4ob2obo$4bob2ob4o
5b2o5b4ob2obo15bobob3o2b2o3b2o3b2o2b3obobo$4bobob3o2b2o3b2o3b2o2b3obob
o16bobo6b10o6bobo$5bobo6b10o6bobo18bo8b8o8bo$6bo8b8o8bo17$62bo$61bobo
4bo$60bo3bo2bobo$60bo2bo2bobobo$59bob2o2bo3bo$58bo5bobobo$59bo4bo2bo$
66bo7$20bo$17b2obo$17b2ob2o$18bob3o$18bobo$13bobo$6bo4bobob4o$5b3o5bob
ob3o$4bo2bo2bo3bo3bo$4bo3bo3b2o$2b3ob3ob2o$bo2bo2bob3o$o3bobo3b3o62bo$
bo2bo6bo62bo$2b4o6b2o53bo5bobo$4bob2o3b2ob2o52bo4bobo$6b2o2bobo2b2o56b
2obobo$8bo6bo54bo3bo4bo$7b8o53b3o6b2obo$8bo3bo59bobo3b2o$8bo3bo59bo5bo
$9bobo61bo2b3o$10bo!

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 25th, 2025, 6:33 pm

Great ships! The rules nearby this one are pretty interesting. -B6a has the small symmetric 3c/6 show up extremely frequently and still has an engineerable wham (whampuffers and even breeders show up a whole lot more than in this rule), and it makes me wonder how realistically engineerable base 5W is considering how rare/expensive its own smallest glider is. -B6n is also tame and has that c/3 glider show up more commonly than in base 5W by the looks of it, and the wham is a massive diehard that's probably also engineerable:

Code: Select all

x = 4, y = 4, rule = B3air4aceirw56-n7/S2-a3-aejr4cknqy5ejky8
b3o$o2bo$o2bo$3o!
-S8 has these puffers and Sierpinski generator rabbit found plus a wham–bam knightship:

Code: Select all

x = 16, y = 100, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky
2b2o$bobo$ob3o$bobo$2b2o15$11b3o$2b2o6bo3bo$bobo2b4o5bo$ob3obo8bo$bobo
2b4o5bo$2b2o6bo3bo$11bobo$11bobo$2b2o6bo3bo$bobo2b4o5bo$ob3obo8bo$bobo
2b4o5bo$2b2o6bo3bo$11b3o18$4bobo$3bo4b2o$bobo4b2o$obo$obo7bo$o$b2o7bo$
3bo4b2o$4bob2o$4bo3bo$5b3o29$5b3o$4bo3bo$4bob2o$3bo4b2o$b2o7bo$o$obo7b
o$obo$bobo4b2o$3bo4b2o$4bobo20$
5bo$4bobo$3bo3bo$2bo5bo$bo7bo$o9bo$bo7bo$2bo5bo$3bo3bo$4bobo$5bo4$2b3o
$bo2bo$bo2bo$b3o!
(aka giraffeship)

-B5j has this natural magic-trick p20 I posted in misc discoveries:

Code: Select all

x = 15, y = 26, rule = B3air4aceirw5-j67/S2-a3-aejr4cknqy5ejky8
10bo$11bo$12bo2$8b3o$7bo3bo$7bobobo$7bo3bo$8b3o3$7bo$6bobo$5bo3bo$4bo
5bo$3bobobobobo$2bo3b3o3bo$bo4bobo4bo$o6bo6bo$bo11bo$2bo9bo$3bo7bo$4bo
5bo$5bo3bo$6bobo$7bo!
And Ampere found this double-whammy knightship in a somewhat faraway rule:

Code: Select all

x = 8, y = 14, rule = B3ai4acenrw5-jnq6aik7c/S2-a3cinqy4acnqr5kny7c
5b3o$4bo2bo$4bo2bo$4b3o5$3bo$2bobo$b3obo$ob3o$bobo$2bo!
(aka ibisship)

EDIT: First non-LCM p34:

Code: Select all

x = 51, y = 17, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2bo12b2o17bo12b2o$bobo10bo2bo15bobo10bo2bo$o3b2o9bo2bo13bo3b2o9bo2bo$
bo4bo9b2o15bo4bo9b2o$2bo4bo4bo21bo4bo4bo$bo4bo4b3o19bo4bo4b3o$o3b2o6b
o19bo3b2o6bo$bobo29bobo$2bo19bo11bo$21bobo9bobo$19b2o3bo7bo3b2o$18bo4b
o9bo4bo$17bo4bo11bo4bo$7b2o9bo4bo9bo4bo9b2o$6bo2bo9b2o3bo7bo3b2o9bo2b
o$7bo2bo10bobo9bobo10bo2bo$8b2o12bo11bo12b2o!
EDIT: Accidental p26:

Code: Select all

x = 14, y = 10, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2b2o4bo$bo2bo2b3o$o2bo4bo$b2o2$6bo4bo$5bobo2bobo$4bo2bo2bo2bo$4bobo4bo
bo$5bo6bo!
EDIT: First p31 (the bottom right mango has multiple placements, it's there to suppress a deadly spark)

Code: Select all

x = 21, y = 15, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
6bo5bo$5bobo3bobo$4bo2bo3bo2bo$4bobo5bobo$5bo7bo$b2o$o2bo$bo2bo$2b2o4b
o$7b3o$8bo9b2o$3b2o12bo2bo$2bo2bo10bo2bo$3bo2bo10b2o$4b2o!

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 27th, 2025, 3:46 pm

Here is a p408 gun for the small c/3:

Code: Select all

x = 205, y = 216, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
137.A$136.A.A$135.A3.A$112.A12.2B7.A5.A$111.A.A10.4B5.A7.A$86.4B3.2A
15.A3.A8.6B3.A9.A$84.3B2A2B.A2.2A12.A2.BA9.6B2.A11.A$83.3BA4B2.A3.A
12.ABAB9.7BA13.A$82.3B4A3B2.A.A2.B6.3B.BA3B8.6B2.A11.A$83.B3A5B3.A2.
3B3.11B7.8B2.A9.A$84.BABA4B5.5B.12B7.9B2.A7.A$85.A6B3.20B3.A.A2.9B2.A
5.A$82.33B2.A.A.A2.9B2.A3.A$81.34B.A5.A.10B2.A.A$80.35B2.A3.A2.10B3.A
$81.A28BA4B3.A.A2.11B$82.A26BABA4B3.A2.12B$83.A13B3.8BABABA5B3.14B$
84.A11B2.A3.5BA2BA2BA22B$84.11B2.A.A3.3BABA2BA2BA22B$84.10B2.A3.A2.2B
A6B2ABA22B$84.10B.A5.A.BAB2A6BA22B$84.10B2.A.A.A2.2BA2BA2BABA22B$83.
12B2.A.A3.3BA2BA2BA10B3.7B$84.12B7.4BABABA3B.5B5.8B$85.12B6.5BABA3B3.
3B2.A3.9B$85.12B6.3BAB.A2B6.B2.A.A2.10B$84.13B7.BABA12.A3.A2.8B$80.2A
2.13B7.AB2.A12.2A2.A.7B$79.A2.A.14B5.A3.A15.2A3.4B$78.A2.A2.18B2.A.A$
79.2A2.20B2.A$82.22B2.A$81.24B2.A$81.23B2.A$82.21B2.A$81.21B2.A$80.
21B2.A.A$79.21B2.A2.A$78.23B2.A2.A$79.23B2.A2.A$80.23B2.A.A$81.23B2.A
$82.23B$83.23B$84.B4.18B$80.2A7.19B$79.A2.A5.19B$78.A2.A2.21B$79.2A2.
16B.4B$82.18B.2B$81.22B$81.23B$82.22B$82.21B$80.22B$79.21B4.2A$78.23B
2.A2.A$79.23B2.A2.A$80.23B2.A.A$81.23B2.A$82.2BA20B$82.BABA4BA15B$82.
3ABA20B$82.3A23B$83.A2BABA18B$81.A2.4BA3BA12B$80.A.A.A3BA2B3A6B.3B$
80.A2.A.ABA4BABA6B$81.A.A2.A2.3BA2BA6B$82.A8.2BA2BA6B$89.A2.2B4A5B$
88.A.A2.3BA5B10.B$88.A2.A2.7BA9.3B$89.A2.A.9B7.5B$90.2A3.B3A4B6.7B$
95.A8B4.9B$94.A3BABA4B2.11B$95.A5BA17B$92.B3.A2B2ABA17B$91.3B2.BAB3A
17B$90.8BABA17B2.3B$87.2B.9BA105B$86.110B3A6B$85.113BA6B$85.113B2A5B$
86.110B3ABA4B$87.111B4A3B$90.110BA4B$91.114B$92.29B$95.25B$96.4B3D17B
$30.A8.B8.A8.B37.5BD2BD15B$29.A.A6.3B6.A.A6.3B36.5BD2BD14B$14.B13.A2.
A5.5B4.A2.A5.5B7.2A26.6B3D13B$13.3B12.A.A2.2B.7B3.A.A2.2B2.6B5.A2.A
26.18B.B$8.B3.5B12.A2.12B3.A2.15B2.A2.A23.20B$7.3B2.6B5.B7.14B4.17B2.
2A23.22B$6.5B.13B2.19B2.20B24.23B$6.39B3.21B15.2B6.24B$5.40B3.22B13.
4B4.5B3D18B$5.40B3.21B13.6B2.5BD2BD18B$5.40B2.22B3.2A8.6B2.6B3D17B$5.
65B.A2.A8.5B2.25B$6.64B2.A2.A5.33B$8.63B2.A.A4.33B$6.A5.60B2.A4.33B$
5.A.A4.61B7.28B.B$5.A2.A3.8B3.52B2.B3.25B8.2A$6.A2.A.8B2.A2.55B2.25B
3.B3.A2.A$6.A.A2.7B2.A.A2.68BA17B.A2.A$7.A2.3B3AB2.A3.A5.63BABA16B2.
2A$9.3BA2BAB.A3.A7.61BA3BA14BDB8.A$8.4BA2BAB2.A3.A6.19B.40BA3B3A12BDB
DB6.A.A$9.3B3A3B2.A.A7.8B.11B.5B.10B.21BA2B3D3A10BD3BDB5.A2.A$10.8B3.
A8.7B3.16B2.10B.19BA3BDBADABA8BD5BD2.2B2.A.A$11.8B12.5B2.A2.14B4.9B2.
2B2.15BABADABD3BA6BD7BD4B2.A$10.17B2.A2.3B2.A.A2.8B2.2B3.A2.8B8.14B3A
3D2BA6BD4BA4BD4B$9.8BA10BA.A2.B2.A3.A2.6B7.A.A2.6B9.15B3A3BA6BD4BABA
4BD7B$9.18BAB2.A3.A.2A2.A2.4B8.A2.A2.4B11.15BA3BA6BD4BABABA4BD9B$8.
14B3ABAB2.A.A.A4.A2.A2.3B9.A2.A2.3B13.14BABA5B.2BD4BABA4BD10B$8.2BA
10BA2BA2BA.A3.A6.2A4.B11.2A4.B15.9B3.2BA5B3.2BD4BA4BD12B$8.13BA2BAB2.
A52.8B4.6B5.2BD7BD13B$6.A2.12B3A3B54.8B7.2B6.3BD5BDB2.12B$5.A.A19B55.
6B6.A.A10.BD3BDB4.14B$4.A2.BA18B57.3B6.A.A.A10.BDBD2B3.16B$3.A2.BA18B
67.A3.A10.2BD2B.20B$4.A.A19B68.A.A12.3B.24B$5.A2.17B70.A13.2B.26B$16.
8B88.27B$13.A3.8B87.27B$12.A.A2.9B87.25B$11.A3.A2.9B87.20B.2B$12.A3.A
.8B89.19B$11.A3.A2.7B2.A88.12B2.3B$12.A.A2.7B2.A.A88.11B3.B$9.2B2.A2.
8B.A2.A89.11B$5.7B3.8B3.A2.A89.11B$4.19B4.A.A90.9B$3.20B5.A92.8B3.2A$
3.24B94.9B.A2.A$4.8BA16B93.8B2.A2.A$5.7BA17B92.9B2.A.A$7.B.B3A17B91.
11B2.A$7.A2.20B91.12B8.A$6.A.A2.19B92.13B2.B2.A.A$5.A3.A2.17B94.16B.A
2.A$4.A5.A2.10B.5B91.3B.16B.A.A$3.A7.A5.6B2.3B91.21B2.A$2.A9.A5.5B3.B
90.24B$.A11.A5.3B94.26B$A13.A5.B96.25B$.A11.A104.24B$2.A9.A106.23B$3.
A7.A105.A2.23B$4.A5.A105.A.A2.23B$5.A3.A106.A2.A2.23B$6.A.A108.A2.A2.
23B$7.A110.2A4.21B$122.22B$121.21B$120.22B$120.23B$121.22B$121.2B.18B
$120.4B.16B2.2A$119.21B2.A2.A$117.19B5.A2.A$116.19B7.2A$117.18B4.B$
118.23B$119.23B$117.A2.23B$116.A.A2.23B$116.A2.A2.23B$117.A2.A2.23B$
118.A2.A2.21B$118.A.A2.21B$119.A2.21B$118.A2.21B$117.A2.23B$116.A2.
24B$117.A2.22B$118.A2.20B2.2A$117.A.A2.18B2.A2.A$92.4B3.2A15.A3.A5.
14B.A2.A$90.7B.A2.2A12.A2.BA7.13B2.2A$89.8B2.A3.A12.ABAB7.13B$88.10B
2.A.A2.B6.3B.BA3B6.12B$89.9B3.A2.3B3.11B6.12B$90.8B5.5B.12B7.12B$91.
7B3.13BA6B3.A.A2.12B$88.25BABA5B2.A.A.A2.10B$87.25B3ABA4B.A5.A.10B$
86.25BAB3A5B2.A3.A2.10B$87.25BABA6B3.A.A2.BA9B$88.25BA8B3.A2.AB2A8B$
89.14B3.18B3.7A7B$90.12B2.A3.20BA2BA2BA7B$90.11B2.A.A3.17B2A3BAB3A7B$
86.A3.10B2.A3.A2.23B3ABA7B$85.A.A2.10B.A5.A.24BABA7B$84.A3.A2.9B2.A.A
.A2.25BA7B$83.A5.A2.9B2.A.A3.20B3.7B$82.A7.A2.9B7.12B.5B5.8B$81.A9.A
2.8B7.11B3.3B2.A3.9B$80.A11.A2.6B8.3BAB.3B6.B2.A.A2.10B$79.A13.A7B9.B
ABA12.A3.A2.8B$80.A11.A2.6B9.AB2.A12.2A2.A.7B$81.A9.A3.6B8.A3.A15.2A
3.4B$82.A7.A5.4B10.A.A$83.A5.A7.2B12.A$84.A3.A$85.A.A$86.A!
It's based on a seed from catagolue that collides a wham with an unidentified symmetrical object that I was able to also synthesize with a wham+bam collision. I'm absolutely positive the symmetrical object has a usable conduit that creates it from only one input signal (I actually found one by hand by accident, but its output was in the wrong orientation), but I've had no luck looking just yet.

Something else is that I should definitely start making these guns more efficient, but I haven't bothered either compacting the p408 signal generator or finding a smaller, faster alternative to use. So this is just a PoC.

In the process of making it I found but didn't end up using this surprisingly edgy wham-flipper:

Code: Select all

x = 25, y = 33, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
13.B$11.4B$9.3D4B$9.D2BD.2B$8.BD2BD4B$8.2B3D5B$7.3B.8B$8.10B$9.9B$10.
9B$10.10B$10.10B$9.11B$9.12B$10.12B$7.2A2.10B$6.A2.A.10B$5.A2.A2.10B$
5.A.A2.11B$6.A2.12B$8.14B$4.19B$.4B3C16B$.3BC2BC17B$4BC2BC16B$.3B3C
16B$2.8B3.7B$3.5B5.8B$4.3B2.A3.9B$5.B2.A.A2.10B$8.A2.A2.8B$9.A2.A.7B$
10.2A3.4B!
And this wham->bam track that's only a novelty (its repeat time is over 47):

Code: Select all

x = 30, y = 49, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
27.A$11.3D12.A.A$11.D2.D9.2A3.A$11.D2.D8.A4.A$12.3D7.A4.A$23.A4.A$24.
2A3.A$7.2A17.A.A$6.A2.A17.A$5.A4.A$6.2A.A14.A$2.A5.A14.A.A$.A.A12.3D
3.A2.A$A3.2A9.D2.D2.A2.A$.A4.A8.D2.D3.2A$2.A4.A7.3D$.A4.A$A3.2A$.A.A
17.2A$2.A17.A2.A$19.A4.A$5.A14.A.2A$4.A.A14.A5.A$4.A2.A3.3D12.A.A$5.A
2.A2.D2.D9.2A3.A$6.2A3.D2.D8.A4.A$12.3D7.A4.A$23.A4.A$24.2A3.A$7.2A
17.A.A$6.A2.A17.A$5.A4.A$6.2A.A14.A$2.A5.A14.A.A$.A.A12.3D3.A2.A$A3.
2A9.D2.D2.A2.A$.A4.A8.D2.D3.2A$2.A4.A7.3D$.A4.A$A3.2A$.A.A$2.A2$5.A$
4.A.A$4.A2.A3.3C$5.A2.A2.C2.C$6.2A3.C2.C$12.3C!
Lastly, I think my gencols enumeration above is wrong because I didn't account for r/y being swapped. Can anyone help me double-check?

EDIT: First p46:

Code: Select all

x = 38, y = 38, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
29.A$13.A14.A.A$12.A.A13.A2.A$12.A2.A13.A.A$13.A.A2.B6.3B2.A$8.B5.A2.
3B4.5B$2.2A3.4B5.5B.9B$.A2.A.5B3.18B$A2.A2.11BDCD13B$.2A2.11BD2ACBA10B
$4.12BC2ADA11B$4.12BDCD11B$4.26B4.2A$5.11B6.8B3.A2.A$6.9B2.A2.A2.8B.A
2.A$6.8B2.A.2A.A2.7B2.2A$7.2BA3B2.A6.A2.BDCD3B$6.4BA2B.A8.A.BC2AD3B$5.
3BDCD2B2.A6.A2.BD2AC4B$4.4BC2ADB2.A6.A2.2BDCD3B$5.3BD2ACB.A8.A.2BA4B$
6.3BDCDB2.A6.A2.3BA2B$3.2A2.7B2.A.2A.A2.8B$2.A2.A.8B2.A2.A2.9B$.A2.A3.
8B6.11B$2.2A4.26B$8.11BDCD12B$6.11BAD2AC12B$6.10BABC2AD11B2.2A$5.13BD
CD11B2.A2.A$6.18B3.5B.A2.A$7.9B.5B5.4B3.2A$9.5B4.3B2.A5.B$7.A2.3B6.B2.
A.A$6.A.A13.A2.A$6.A2.A13.A.A$7.A.A14.A$8.A!
Last edited by M. I. Wright on June 28th, 2025, 7:40 pm, edited 2 times in total.

User avatar
silversmith
Posts: 459
Joined: June 15th, 2020, 6:20 pm
Location: Pennsylvania, USA, Earth, Sector 5ff63D6
Contact:

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by silversmith » June 28th, 2025, 5:34 pm

I found several more conduits involving the x pentomino, including a x to w and a w to x with good clearance.

Code: Select all

x = 202, y = 170, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
12.D3.D3.D5.D3.D7.D3.D44.D3.D3.D5.D3.D21.D3.D3.D5.D3.D31.D3.D3.D6.2D2.
D3.D$13.D.D5.D4.D3.D3.D4.D.D45.D3.D4.D5.D.D23.D.D5.D4.D3.D32.D.D5.D4.D
2.D.D3.D$14.D7.D3.D.D.D2.3D4.D46.D.D.D5.D5.D25.D7.D3.D.D.D33.D7.D5.D2.
D.D.D$13.D.D5.D4.D.D.D3.D4.D.D45.D.D.D4.D5.D.D23.D.D5.D4.D.D.D32.D.D5.
D5.D3.D.D.D$12.D3.D3.D6.D.D8.D3.D45.D.D4.D5.D3.D21.D3.D3.D6.D.D32.D3.D
3.D5.4D2.D.D6$185.F2$34.A104.3D45.3D$33.A.A102.D2.D44.D2.D$21.2A9.A3.A
101.D2.D44.D2.D$20.A2.A7.A5.A100.3D45.3D$19.A2.A9.A.A3.A$19.A.A11.A.A
3.A$20.A3.3D9.A3.A$23.D2.D10.A.A$23.D2.D11.A$23.3D3$.D103.A$3D101.A.A
94.F$.D90.2A9.A3.A88.3D$91.A2.A7.A3.A89.D2.D$90.A2.A9.A.A90.D2.D$90.A.
A11.A92.3D$91.A3.3C$94.C2.C$94.C2.C$94.3C$145.A.A45.A$144.A.A.A43.A.A$
72.D58.C11.A4.A30.C11.A3.A$71.3D56.3C11.A2.A30.3C11.A3.A$31.C21.3D16.D
58.C13.2A32.C13.A.A$30.3C19.D2.D138.A$31.C20.D2.D79.A47.A$52.3D77.A.A.
A43.A.A.A$131.A.A2.A42.A.A3.A$33.A97.A3.A42.A5.A$28.A3.A.A97.A.A44.A3.
A$27.A.A.A3.A97.A46.A.A$26.A3.A3.A146.A$27.A5.A$28.A3.A$29.A.A$30.A65$
88.D$87.3D$88.D39.D$127.3D$128.D6$83.A$82.A.A3.3D$81.A3.A2.D2.D$80.A3.
A3.D2.D$34.A44.A3.A5.3D$33.A.A5.3C34.A3.A$32.A3.A4.C2.C34.A.A$31.A2.2A
5.C2.C35.A49.C$30.A2.A8.3C84.3C7.A$31.A2.A34.D60.C7.A.A$32.A.A33.3D8.
3D6.3D46.A3.A$33.A35.D9.D2.D5.D2.D42.A.A3.A$79.D2.D5.D2.D39.A.A.A3.A$
22.D57.3D6.3D38.A.A5.A$21.3D8.3C94.A7.A$22.D9.C2.C61.A32.A3.A.A$32.C2.
C60.A.A32.A.A.A$33.3C53.C5.A3.A32.A$88.3C3.A3.A$89.C3.A3.A$92.A3.A$93.
A.A$94.A18$17.3D2.D3.D3.D5.D3.D30.D3.D3.D6.2D2.D3.D32.D3.D3.D5.D3.D$
17.D2.D.D3.D4.D5.D.D32.D.D5.D4.D2.D2.D.D34.D.D5.D5.D.D$17.D2.D.D.D.D5.
D5.D34.D7.D5.D4.D36.D7.D5.D$17.D2.D.D.D.D4.D5.D.D32.D.D5.D5.D4.D.D34.D
.D5.D5.D.D$17.3D3.D.D4.D5.D3.D30.D3.D3.D5.4D.D3.D32.D3.D3.D5.D3.D!
Using some of these new conduits and a couple custom eaters, I assembled a 18c/86 spaceship gun with a relatively small bounding box.

Code: Select all

x = 94, y = 97, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
15.2A$14.A2.A$13.A2.A$13.A3.A$14.A.A$15.A$77.2A$37.3D36.A2.A$36.D2.D
37.A2.A$36.D2.D36.A3.A$36.3D38.A.A$78.A$9.2A$8.A2.A42.3D$7.A2.A43.D2.D
$6.A2.A44.D2.D$7.A2.A3.D40.3D$8.2A3.3D$14.D68.2A$82.A2.A$83.A2.A$84.A
2.A$79.D3.A2.A$78.3D3.2A$79.D$25.A$19.2A3.A.A$12.3D3.A2.A.A3.A$11.D2.D
2.A2.A3.A3.A$11.D2.D3.A.A4.A.A$11.3D5.A6.A$68.A$67.A.A3.2A$66.A3.A.A2.
A3.3D$65.A3.A3.A2.A2.D2.D$66.A.A4.A.A3.D2.D$67.A6.A5.3D6$34.A$33.A.A$
32.A3.A$33.A3.A$34.A3.A$7.A27.A3.A$6.A.A27.A3.A18.A$5.A3.A3.A21.A3.A
18.A.A$4.A3.A3.ACA21.A.A18.A3.A$3.A3.A3.A3CA21.A18.A3.A$2.A3.A5.ACA40.
A3.A$3.A3.A5.A40.A3.A27.A$4.A3.A44.A3.A27.A.A$5.A.A46.A3.A25.A3.A$6.A
25.3D20.A.A22.C4.A3.A$31.D2.D21.A22.3C4.A3.A$31.D2.D45.C6.A3.A$31.3D3.
A48.A3.A$36.A.A9.A36.A3.A$35.A2.A8.A.A36.A.A$34.A2.A9.A2.A8.3D25.A$35.
2A11.A.A8.D2.D$49.A9.D2.D$56.A3.3D$55.A.A$55.A2.A$56.A2.A$4.2A51.2A$3.
A2.A$2.A2.A$2.A.A$3.A3.3D$6.D2.D$6.D2.D78.2A$6.3D25.A52.A2.A$33.A.A52.
A2.A$32.A3.A52.A.A$27.A5.A3.A46.3D3.A$26.ACA5.A3.A45.D2.D$3.A21.A3CA3.
A3.A46.D2.D$2.A.A21.ACA3.A3.A22.A25.3D$.A3.A21.A3.A3.A22.A.A$A3.A27.A.
A22.A3.A$.A3.A27.A.A20.A3.A$2.A3.A25.A3.A18.A3.A6.C$3.A3.A23.A3.A20.A
3.A4.3C22.A$4.A3.A23.A.A22.A3.A4.C22.A.A$5.A.A25.A24.A3.A25.A3.A$6.A
52.A.A27.A3.A$58.A.A27.A3.A$57.A3.A25.A3.A$58.A3.A23.A3.A$59.A.A23.A3.
A$60.A25.A.A$87.A!
A mobile-first simulator with the tools I couldn’t find elsewhere: https://www.silversimulations.com/caplayer
Documentation: https://github.com/teraxtech/caplayer

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 29th, 2025, 1:48 am

Amazing! I'll try to get the c/3 gun looking similarly slick (but I'll also readily welcome getting beat to the punch).

I wanted to share some random small things. First is that I noticed that the original magic trick, now that we have the vocabulary to express this, is really a TW->X:

Code: Select all

#C [[ STOP 61 ]]
x = 40, y = 47, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
18.2B$17.5B$17.6B$17.6B$16.8B$15.10B$15.12B$14.14B$13.15B$13.16B$12.
17B$11.17B2.2A$10.15B4.A2.A$8.16B6.A2.A$7.16B8.A.A$5.19B8.A$4.20B9.A$
.16B3C7B4.BA$17BC2BC7B.2BA3B$17BC2BC9BA7BDB$.17B3C8BA7B3D$.29BA7BDB$
2.29BA4B$4.10B.15B.BA2.B$5.8B4.14B2.A$6.6B5.15B2.A$6.6B2.12B3C4B2.A$
7.5B.13BC2BC4B2.A$9.2B2.13BC2BC5B2.A$12.15B3C4B2.A$13.20B2.A$14.18B2.
A.A$15.16B2.A2.A$14.17B.A2.A$13.18B2.2A$10.7B3C10B$9.8BC2BC8B$9.8BC2B
C7B$10.8B3C4B.B$10.14B$11.12B$13.10B$14.8B$15.6B$15.6B$16.5B$18.2B!
The X is just hard to get at because it necessarily ends up interacting with the original conduit components. But we can take advantage of that, e.g. in this TW -> X -> W (top left, shown at top right chained to the basic W -> X; alternate TW -> X -> W that's harder to use the output of also shown at bottom left):

Code: Select all

x = 102, y = 88, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
77.A$23.A52.A.A$22.A.A50.A2.A3.A7.A$21.A2.A3.A45.A2.A3.A.A5.A.A$20.A
2.A3.A.A45.A.A3.A2.A3.A2.A$21.A.A3.A2.A45.A5.A.A3.A.A$22.A5.A.A46.A5.
A5.A$23.A5.A48.A$24.A37.3C12.A22.D$8.3C12.A38.C2.C10.A11.3D8.3D$8.C2.
C10.A11.3D25.C2.C9.A7.D3.D2.D9.D$8.C2.C9.A7.D3.D2.D26.3C8.A7.3D2.D2.D
$9.3C8.A7.3D2.D2.D38.A7.D3.3D$21.A7.D3.3D40.A$22.A54.A$23.A54.A4.A$
24.A4.A49.A2.A.A$25.A2.A.A40.3C6.A.A2.A$17.3C6.A.A2.A39.C2.C6.A2.A$
17.C2.C6.A2.A40.C2.C7.2A$17.C2.C7.2A42.3C6.A$18.3C6.A21.D30.A$26.A23.
D28.A.A$25.A.A23.D26.A2.A$24.A2.A16.9D24.A2.A$23.A2.A24.D26.2A$24.2A
24.D11.3C$8.3C38.D12.C2.C$8.C2.C50.C2.C$8.C2.C51.3C$9.3C28$15.A$14.A.
A$13.A2.A3.A6.A$12.A2.A3.A.A4.A.A$13.A.A3.A2.A3.A2.A$14.A5.A.A4.A.A$
15.A5.A6.A$16.A$3C12.A$C2.C10.A18.3D$C2.C9.A7.D6.D3.D2.D$.3C8.A7.3D4.
3D2.D2.D$13.A7.D6.D3.3D$14.A$15.A$16.A11.A$17.A3.A5.A.A$9.3C6.A.A.A3.
A2.A$9.C2.C6.A3.A.A2.A$9.C2.C7.A3.A.2A$10.3C6.A$18.A$17.A.A$16.A2.A$
15.A2.A$16.2A$3C$C2.C$C2.C$.3C!
Sparky wham-eating reaction (top), shown with sample extensions:

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x = 47, y = 120, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
14b3o$13bo2bo$13bo2bo$13b3o3$15bo$14bobo$13bo3bo$13bo3bo$12bo5bo$11bo
3bo3bo$12bobobobo$13bo3bo21$6bo3bo$5bobobobo7bo$4bo3bo3bo5bobo$5bo5bo
5bo2bo$6bo3bo6bobo24bo$6bo3bo7bo24bobo$7bobo31b2o3bo$8bo31bo4bo$39bo4b
o$40bo4bo$41b2o3bo$43bobo$44bo5$42b2o$41bo2bo$42bo2bo$43b2o6$2b2o$bo2b
o$2bo2bo$3b2o4$37b3o$2bo33bo2bo$bobo32bo2bo$o3b2o30b3o$bo4bo$2bo4bo$bo
4bo31bo$o3b2o31bobo$bobo24bo7bo3bo$2bo24bobo6bo3bo$26bo2bo5bo5bo$26bob
o5bo3bo3bo$27bo7bobobobo$36bo3bo17$14bo$13bobo$12bo2bo$12bobo$13bo4$
16b3o$15bo2bo$15bo2bo$15b3o3$17bo$16bobo$15bo3bo$15bo3bo$8bo5bo5bo$7bo
bo3bo3bo3bo$7bo2bo3bobobobo$8bobo4bo3bo$9bo!
This is technically an alternative W->X that I don't think I ever noticed, but it's hard or impossible to use the output:

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x = 8, y = 13, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
.D$3D$.D3.3C$4.C2.C$4.C2.C$4.3C3$2.A$.A.A$.A2.A$2.A.A$3.A!
Bam track that I think is unfortunately impossible in the base rule due to SL structure constraints:

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x = 71, y = 17, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8Investigator
DA5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.D$2.A3.A2.A3.A2.A3.A2.A3.A2.A
3.A2.A3.A2.A3.A2.A3.A2.A3.A2.A3.A$3.A.A4.A.A4.A.A4.A.A4.A.A4.A.A4.A.A
4.A.A4.A.A4.A.A$4.A2.D3.A2.D3.A2.D3.A2.D3.A2.D3.A2.D3.A2.D3.A2.D3.A2.
D3.A4$60.A$59.3A$60.A4$4.A6.A6.A6.A6.A6.A6.A6.A6.A6.A$3.A.A4.A.A4.A.A
4.A.A4.A.A4.A.A4.A.A4.A.A4.A.A4.A.A$2.A3.A2.A3.A2.A3.A2.A3.A2.A3.A2.A
3.A2.A3.A2.A3.A2.A3.A2.A3.A$DA5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.2A5.D
!

poolperson87
Posts: 21
Joined: January 5th, 2021, 2:48 am

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by poolperson87 » June 29th, 2025, 4:09 pm

So, all we need is p23, p27, p29, p30, p35, p36, p37, p42, p43 (p46 is covered by a later post).

While making this post, I found a p36:

Code: Select all

x = 12, y = 14, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
6bobo$6bobo$6bobo$2b2o$bo2bo$o2bo$obo$bo3b3o$4bo2bo$4bo2bo$4b3o2b2o$8b
o2bo$7bo2bo$8b2o!
This was assembled from oscillators found in the first post

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 29th, 2025, 10:26 pm

Thanks :) Just updated the collections again.

It turns out that the hard-to-use X->W from my last post can be chained to itself to make a p78 and a repeat-time-42 track:

Code: Select all

x = 79, y = 198, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
41.A$40.A.A$39.A2.A$39.A.A$40.A$31.3D$30.D2.D4.D$30.D2.D3.3D6.2A$24.
2A4.3D5.D6.A2.A$23.A2.A19.A2.A$24.A2.A6.D5.3C4.2A$25.2A6.3D3.C2.C$34.
D4.C2.C$39.3C$32.A$31.A.A$30.A2.A$30.A.A$31.A56$28.3D$27.D2.D$27.D2.D
$27.3D$43.A$42.A.A$41.A2.A$29.D11.A.A$28.3D11.A$24.2A3.D3.3D$23.A2.A
5.D2.D4.D$22.A2.A6.D2.D3.3D6.2A$23.2A7.3D5.D6.A2.A$48.A2.A$42.3D4.2A$
30.A10.D2.D$29.A.A9.D2.D$29.A2.A8.3D$30.A.A24.A$31.A24.A.A$55.A2.A$
43.D11.A.A$42.3D11.A$38.2A3.D3.3C$37.A2.A5.C2.C4.D$36.A2.A6.C2.C3.3D$
37.2A7.3C5.D3$44.A$43.A.A$43.A2.A$44.A.A$45.A42$3D5$57.2A$56.A2.A$57.
A2.A$58.A2.A$59.A.A$49.D10.A$48.3D$49.D$15.2A$14.A2.A$15.A2.A$16.A2.A
.A42.2A$10.D6.A2.A.A40.A2.A$9.3D6.A3.A41.A2.A$10.D8.A.A43.A2.A.A$3.A
16.A38.D6.A2.A.A$2.A.A6.3D44.3D6.A3.A$2.A2.A4.D2.D4.D40.D8.A.A$3.A2.A
3.D2.D3.3D6.2A24.A16.A$4.A2.A2.3D5.D6.A2.A22.A.A6.3D$5.A2.A17.A2.A21.
A2.A4.D2.D4.D$6.A2.A10.3D4.2A23.A2.A3.D2.D3.3D6.2A$7.A2.A8.D2.D30.A2.
A2.3D5.D6.A2.A$8.2A9.D2.D31.A2.A17.A2.A$19.3D33.A2.A10.3D4.2A$56.A2.A
8.D2.D$57.2A9.D2.D$68.3D$21.D$20.3D$16.2A3.D3.3C$15.A2.A5.C2.C42.D$
14.A2.A6.C2.C41.3D$15.2A7.3C38.2A3.D3.3C$64.A2.A5.C2.C$63.A2.A6.C2.C$
22.A41.2A7.3C$21.A.A$21.A2.A$22.A.A46.A$23.A46.A.A$70.A2.A$71.A.A$72.
A!
But I don't have a way to turn the track with a repeat time less than 46 (both of the two examples below are RT46):

Code: Select all

x = 95, y = 177, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
26.A$25.A.A$25.A2.A$26.A.A$27.A24.2A$34.3D14.A2.A$29.D4.D2.D12.A2.A$
20.2A6.3D3.D2.D9.D3.2A$19.A2.A6.D5.3D8.3D$18.A2.A25.D$19.2A4.3D$25.D
2.D7.A22.A$25.D2.D6.A.A20.A.A$26.3D6.A2.A8.3D8.A2.A$12.A23.A.A7.D2.D
9.A.A$11.A.A23.A8.D2.D10.A$11.A2.A25.2A4.3D$12.A.A11.D12.A2.A$13.A11.
3D12.A2.A6.D5.3D7.2A$20.3D3.D3.2A9.2A6.3D3.D2.D6.A2.A$15.D4.D2.D5.A2.
A17.D4.D2.D5.A2.A$14.3D3.D2.D6.A2.A21.3D3.D3.2A$15.D5.3D7.2A15.A11.3D
$47.A.A11.D$46.A2.A$25.A20.A.A$24.A.A20.A$23.A2.A34.3D$23.A.A29.2A3.D
2.D$24.A29.A2.A2.D2.D$20.2A31.A2.A3.3D$13.3C3.A2.A31.2A$12.C2.C2.A2.A
29.A$12.C2.C3.2A29.A.A$12.3C34.A2.A$28.A20.A.A$27.A.A20.A$26.A2.A$14.
D11.A.A$13.3D11.A15.2A7.3D5.D$9.2A3.D3.3D21.A2.A6.D2.D3.3D$8.A2.A5.D
2.D4.D17.A2.A5.D2.D4.D$7.A2.A6.D2.D3.3D6.2A9.2A3.D3.3D$8.2A7.3D5.D6.A
2.A12.3D11.A$33.A2.A12.D11.A.A$27.3D4.2A25.A2.A$15.A10.D2.D8.A23.A.A$
14.A.A9.D2.D7.A.A23.A$14.A2.A8.3D8.A2.A6.3D$15.A.A20.A.A6.D2.D$16.A
22.A7.D2.D$48.3D4.2A$28.D25.A2.A$27.3D8.3D5.D6.A2.A$23.2A3.D9.D2.D3.
3D6.2A$22.A2.A12.D2.D4.D$21.A2.A14.3D$22.2A24.A$47.A.A$47.A2.A$48.A.A
$49.A21$58.A$57.A.A$44.A11.A2.A$43.A.A10.A.A$43.A2.A10.A$44.A.A21.2A$
45.A21.A2.A$52.3D13.A2.A$47.D4.D2.D13.2A$38.2A6.3D3.D2.D$37.A2.A6.D5.
3D$36.A2.A$37.2A4.3D$43.D2.D7.A$43.D2.D6.A.A$44.3D6.A2.A$30.A23.A2.A$
29.A.A21.A2.A4.3D$29.A2.A20.A2.A3.D2.D$30.A.A11.D9.A2.A2.D2.D$31.A11.
3D7.A2.A3.3D$38.3D3.D3.2A3.A.A$33.D4.D2.D5.A2.A3.A14.A$7.A16.2A6.3D3.
D2.D6.A2.A16.A.A$6.A.A14.A2.A6.D5.3D7.2A17.A2.A$5.A2.A13.A2.A43.A.A$
5.A.A15.2A4.3D38.A$6.A22.D2.D10.A$29.D2.D9.A.A$30.3D8.A2.A15.D5.3D7.
2A$41.A.A15.3D3.D2.D6.A2.A$17.3D22.A17.D4.D2.D5.A2.A$17.D2.D44.3D3.D
3.2A$17.D2.D9.D27.A11.3D$18.3D8.3D25.A.A11.D$.2A27.D3.2A20.A2.A$A2.A
29.A2.A19.A.A24.A$.A2.A11.A2.A14.A2.A19.A24.A.A$2.2A11.A.2A.A14.2A34.
3D8.A2.A$8.3C3.A6.A48.D2.D9.A.A$7.C2.C2.A2.A2.A2.A47.D2.D10.A$7.C2.C
3.2A.2A.2A42.2A4.3D$7.3C53.A2.A$23.A40.A2.A6.D5.3D7.2A$22.A.A40.2A6.
3D3.D2.D6.A2.A$21.A2.A49.D4.D2.D5.A2.A$9.D11.A.A55.3D3.D3.2A$8.3D11.A
49.A11.3D$4.2A3.D3.3D55.A.A11.D$3.A2.A5.D2.D4.D49.A2.A$2.A2.A6.D2.D3.
3D6.2A40.A.A$3.2A7.3D5.D6.A2.A40.A$28.A2.A53.3D$22.3D4.2A42.2A.2A.2A
3.D2.D$10.A10.D2.D47.A2.A2.A2.A2.D2.D$9.A.A9.D2.D48.A6.A3.3D$9.A2.A8.
3D34.2A14.A.2A.A11.2A$10.A.A24.A19.A2.A14.A2.A11.A2.A$11.A24.A.A19.A
2.A29.A2.A$35.A2.A20.2A3.D27.2A$23.D11.A.A25.3D8.3D$22.3D11.A27.D9.D
2.D$18.2A3.D3.3D44.D2.D$17.A2.A5.D2.D4.D17.A22.3D$16.A2.A6.D2.D3.3D
15.A.A$17.2A7.3D5.D15.A2.A8.3D$50.A.A9.D2.D$51.A10.D2.D22.A$24.A38.3D
4.2A15.A.A$23.A.A43.A2.A13.A2.A$23.A2.A17.2A7.3D5.D6.A2.A14.A.A$24.A.
A16.A2.A6.D2.D3.3D6.2A16.A$25.A14.A3.A2.A5.D2.D4.D$39.A.A3.2A3.D3.3D$
32.3D3.A2.A7.3D11.A$31.D2.D2.A2.A9.D11.A.A$31.D2.D3.A2.A20.A2.A$31.3D
4.A2.A21.A.A$37.A2.A23.A$38.A2.A6.3D$39.A.A6.D2.D$40.A7.D2.D$49.3D4.
2A$55.A2.A$39.3D5.D6.A2.A$39.D2.D3.3D6.2A$24.2A13.D2.D4.D$23.A2.A13.
3D$24.A2.A21.A$25.2A21.A.A$37.A10.A2.A$36.A.A10.A.A$35.A2.A11.A$35.A.
A$36.A!
EDIT: Infinite p35:

Code: Select all

x = 156, y = 3, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8:T156,0
3bo16bo8bo16bo8bo16bo8bo16bo8bo16bo8bo16bo$2b3o14b3o6b3o14b3o6b3o14b3o
6b3o14b3o6b3o14b3o6b3o14b3o$3bo16bo8bo16bo8bo16bo8bo16bo8bo16bo8bo16bo
!
EDIT: p137:

Code: Select all

x = 21, y = 21, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
10bo$9bobo$8bo3bo$7bo5bo$6bo7bo$5bo9bo$4bo11bo$3bo13bo$2bo15bo$bo2bo
14bo$o2b3o14bo$bo2bo14bo$2bo15bo$3bo13bo$4bo11bo$5bo9bo$6bo7bo$7bo5bo$
8bo3bo$9bobo$10bo!
EDIT: Transparent diamond:

Code: Select all

x = 58, y = 23, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
9.3C$8.C2.C31.3C$8.C2.C30.C2.C$8.3C31.C2.C$42.3C3$7.E$6.E.E32.E$5.E3.
E30.E.E$4.E5.E28.E3.E$3.E7.E26.E5.E10.2A$2.E9.E24.E7.E8.A2.A$.E11.E
22.E9.E6.A2.A$E13.E20.E11.E6.2A$.E11.E20.E13.E$2.E9.E22.E11.E$3.E7.E
24.E9.E$4.E5.E26.E7.E$5.E3.E28.E5.E$6.E.E30.E3.E$7.E32.E.E$41.E!
This would make a great memory cell but I can't get the connections right. Failed attempt reveals c/3d fuse:

Code: Select all

x = 95, y = 59, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
7.A$6.A.A$5.A3.A$4.A5.A$5.A5.A$4.A5.A$3.A7.A$2.A9.A$.A11.A$A13.A$.A
11.A20.2A$2.A9.A20.A2.A$3.A7.A20.A2.A$4.A5.A10.3C9.2A$5.A3.A10.C2.C$
6.A.A11.C2.C$7.A12.3C$36.A40.2A$35.A.A38.A2.A$34.A2.A39.A2.A11.A$19.E
13.A2.A41.A.A11.A.A$18.E.E13.A2.A41.A12.2A$17.E3.E11.A2.A43.A11.A$16.
E5.E11.2A45.A9.A$15.E7.E58.A7.A$14.E9.E58.A5.A$13.E11.E58.A3.A$12.E
13.E58.A.A$13.E11.E60.A$14.E9.E9.A$15.E7.E9.A.A$16.E4.DED8.A2.A$17.E
2.DE.D8.A.A$18.E.E2.D9.A$19.E3D3.A$25.A.A$24.A2.A$23.A2.A$24.2A17$13.
3D$12.D2.D$12.D2.D$12.3D!

poolperson87
Posts: 21
Joined: January 5th, 2021, 2:48 am

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by poolperson87 » June 30th, 2025, 2:47 pm

+S6i has some very strange ships ...
First and foremost: 5c/53o.

Code: Select all

x = 5, y = 15, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky6i8
2bo5$2bo$b3o$2bo4$bobo$o3bo$bobo$2bo!
We also have this little guy, he's a 4c/49o.

Code: Select all

x = 3, y = 11, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky6i8
bo$3o$bo6$bo$bo$bo!
And a 12c/64 diagonal. This one can be thought of as a stabilisation of the common replicator.

Code: Select all

x = 6, y = 13, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky6i8
2bo$bobo$obobo$bo3bo$2bobo$3bo5$b3o2$b3o!
Edit: I found a new one, 12c/110 diagonal. This was found using "Shipnod " settings - if spaceinvaders were used on C1, it would maybe return this spaceship.

Code: Select all

x = 81, y = 85, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky6i8
15$55bo$54b3o$54bobo$53bobobo$52bo5bo$51bobo3b3o$50bo2bo2b5o$49bo2bo2b
ob3o$48bob2o3bob2o$46b2o6b6o$45b2obo3b3o2bo$46b2o3bo2bobo$48bob6obo$
49b6o$50b3obo$51bo17bo$66bob3o$66b6o$63bob6obo$64bobo2bo3b2o$63bo2b3o
3bob2o$61b6o6b2o$53bo8b2obo3b2obo$52b3o6b3obo2bo2bo$52bobo5b5o2bo2bo$
51bobobo5b3o3bobo$50bo5bo5bo5bo$49bobo3bobo5bobobo$48bo2bo3bo2bo5bobo$
47bo2bo5bo2bo4b3o$46bob2o3bo3b2obo4bo$44b2o6bobo6b2o$43b2obo4bo3bo4bob
2o$44b2o6bobo6b2o$46bob2o3bo3b2obo$47bo2bo5bo2bo$48bo2bo3bo2bo$49bobo
3bobo$50bo5bo$51bobobo$52bobo$52b3o$53bo3$36bo2b2o$34b3o2b3o$34bobo3b
3o3bo$34b3o4bo3bobo$36b5o3bobobo$37bobo6b4o$37b3o4bobobo$47b2o!
Edit II: +B4y results are also interesting, but I don't have time to post my results, other than the periods of the ships (p26, p34, p36).

User avatar
H. H. P. M. P. Cole
Posts: 475
Joined: July 15th, 2023, 9:36 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by H. H. P. M. P. Cole » June 30th, 2025, 9:29 pm

poolperson87 wrote:
June 30th, 2025, 2:47 pm
[...]
Edit II: +B4y results are also interesting, but I don't have time to post my results, other than the periods of the ships (p26, p34, p36).
4c/13o, 8c/26o, 14c/36o, 6c/34d

Code: Select all

x = 52, y = 9, rule = B3air4aceirwy567/S2-a3-aejr4cknqy5ejky8
3bo13bo15b3o10bo$2b3o11bobo13bo3bo8b4o$b5o9bob3o11b3o2bo7b2o2bo$3ob3o
9bo3bo9bob3obo8bo2b2o$3ob3o10b2o12bob2o10bob3o$o2bo2bo10b2o13bobo15bo
$2bobo13b3o12bo12b2o3bo$b5o28bo13bobo$49bo!

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » June 30th, 2025, 11:01 pm

Noticed that FWKnightship did a D2_x_skewgutter_stdin census in the base rule, which is a great idea because it helps find symmetric oscillators where the halves naturally support each other due to the rule's diagonal-line dynamics. (EDIT: fixed attribution! Sorry!)

Alongside an interesting p80, there's an LCM p30 and a new p39 rotor:

Code: Select all

x = 36, y = 37, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
16bo$15bobo$14bo3bo$13bo5bo$12bo7bo$11bo9bo$10bo11bo$9bo13bo$10bo11bo$11bo9bo
$7bo4bo7bo$6bobo4bo5bo$5bo3bo4bo3bo$4bo5bo4bobo8bo$3bo7bo4bo8bobo$2bo9bo13bo$
bo11bo$o13bo13bo$bo11bo13bobo$2bo9bo13bo3bo$3bo7bo13bo3bobo$4bo5bo13bo3bo3bo$
5bo3bo15bobobo3bo$6bobo17bo3bobobo$7bo19bo3bo3bo$21bo6bobo3bo$14bo5bobo6bo3bo
$13bobo3bo3bo6bobo$14bo3bo3bobo6bo$17bo3bo3bo$18bobobo3bo$19bo3bobobo$20bo3bo
3bo$21bobo3bo$22bo3bo$23bobo$24bo!
This p39 is able to be monomerized as in this sample form:

Code: Select all

x = 16, y = 12, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
3.2A$2.A2.A$.A2.A$.A.A8.A$2.A8.A.A$12.A2$14.A$.2E10.A.A$E2.E8.A2.A$.E
2.E7.A.A$2.2E9.A!
But notice that if you take out the yellow mango, the oscillator actually produces a clean W:

Code: Select all

x = 16, y = 15, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
10.2B$2.2A5.4B$.A2.A3.6B$A2.A2.8B$A.A2.5B3A2B$.A2.6BABA2B$3.7B3AB$2.
10B.2B$2.9B2.2A$2.7B3.A2.A$3.5B3.A2.A$3.3D2B4.2A$3.D2BDB$3.D2BD$4.3D!
This led to the accidental discovery of a new RT24 wham conduit (the straight segment below) that can feed into the fast wham track I noticed a couple posts ago (the diagonal segment):

Code: Select all

x = 35, y = 69, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
14.2B$6.2A5.4B$5.A2.A3.6B$4.A2.A2.8B$4.A.A2.5B3A2B$5.A2.6BABA2B$7.7B
3AB$6.10B.2B$6.9B2.A$6.7B3.A.A$2.2A3.5B3.A2.A$.A2.A2.3C2B4.A2.A$2.A2.
A.C2BCB3.A2.A$3.2A2.C2BC3.A2.A$8.3C4.A2.A$16.2A2$.2A6.3D2.2A$A2.A4.D
2.D.A2.A$.A2.A3.D2.D2.A2.A$2.2A4.3D4.2A3$3.2A2.3D6.2A$2.A2.A.D2.D4.A
2.A$.A2.A2.D2.D3.A2.A$2.2A4.3D4.2A3$.2A6.3D2.2A$A2.A4.D2.D.A2.A$.A2.A
3.D2.D2.A2.A$2.2A4.3D4.2A3$3.2A2.3D6.2A$2.A2.A.D2.D4.A2.A$.A2.A2.D2.D
3.A2.A$2.2A4.3D4.2A$21.A$20.A.A$9.3C8.A2.A$8.C2.C9.A.A$8.C2.C10.A$2.
2A4.3C$.A2.A$2.A2.A6.D5.3D7.2A$3.2A6.3D3.D2.D6.A2.A$12.D4.D2.D5.A2.A$
17.3D3.D3.2A$10.A11.3D$9.A.A11.D$8.A2.A$8.A.A$9.A$23.3D$22.D2.D$22.D
2.D$16.2A4.3D$15.A2.A$16.A2.A6.D5.3D$17.2A6.3D3.D2.D$26.D4.D2.D$31.3D
$24.A$23.A.A$22.A2.A$22.A.A$23.A!
But in fact all you need the fast W track for is a 90-degree turn in order to be able to construct square loops with single-signal periods 120x+96, where x is the number of pairs of the new RT24 conduit on each side of the square:

Code: Select all

x = 186, y = 74, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
15.3D.D.3D51.3D.3D.3D64.D.D.3D.3D$17.D.D.D55.D3.D.D66.D.D.D3.D$15.3D.
D.3D52.2D2.2D.3D64.3D.3D.3D$15.D3.D.D.D53.D3.D.D.D66.D3.D.D.D$15.3D.D
.3D51.3D.3D.3D66.D.3D.3D7$10.A7.A61.A68.A11.A$9.A.A5.A.A8.A36.A7.A5.A
.A3.A48.A7.A5.A.A3.A5.A.A3.A$8.A2.A5.A2.A6.A.A34.A.A5.A.A3.A2.A2.A.A
8.A37.A.A5.A.A3.A2.A2.A.A3.A2.A2.A.A8.A$8.A.A7.A.A5.A2.A33.A2.A5.A2.A
2.A.A3.A2.A6.A.A35.A2.A5.A2.A2.A.A3.A2.A2.A.A3.A2.A6.A.A$9.A9.A6.A.A
34.A.A7.A.A3.A5.A.A5.A2.A35.A.A7.A.A3.A5.A.A3.A5.A.A5.A2.A$27.A36.A9.
A11.A6.A.A37.A9.A11.A11.A6.A.A$18.3D73.A80.A$2.2A7.3D3.D2.D4.D47.3D9.
3D54.3D9.3D9.3D$.A2.A6.D2.D2.D2.D3.3D6.2A22.2A7.3D3.D2.D2.3D3.D2.D4.D
33.2A7.3D3.D2.D2.3D3.D2.D2.3D3.D2.D4.D$2.A2.A5.D2.D2.3D5.D6.A2.A20.A
2.A6.D2.D2.D2.D2.D2.D2.D2.D3.3D6.2A23.A2.A6.D2.D2.D2.D2.D2.D2.D2.D2.D
2.D2.D2.D3.3D6.2A$3.2A3.D3.3D18.A2.A20.A2.A5.D2.D2.3D3.D2.D2.3D5.D6.A
2.A23.A2.A5.D2.D2.3D3.D2.D2.3D3.D2.D2.3D5.D6.A2.A$7.3D17.3D4.2A22.2A
3.D3.3D9.3D18.A2.A23.2A3.D3.3D9.3D9.3D18.A2.A$8.D17.D2.D32.3D29.3D4.
2A28.3D41.3D4.2A$18.A7.D2.D33.D16.A12.D2.D35.D16.A11.A12.D2.D$17.A.A
6.3D44.A5.A.A3.A7.D2.D45.A5.A.A3.A5.A.A3.A7.D2.D$16.A3.A51.A.A3.A2.A
2.A.A6.3D45.A.A3.A2.A2.A.A3.A2.A2.A.A6.3D$2.2A2.3C6.A5.A49.A2.A3.A.A
3.A2.A52.A2.A3.A.A3.A2.A2.A.A3.A2.A$.A2.A.C2.C4.A7.A4.3D4.2A21.2A2.3C
6.A2.A5.A5.A2.A37.2A2.3C6.A2.A5.A5.A.A3.A5.A2.A$A2.A2.C2.C3.A9.A3.D2.
D2.A2.A19.A2.A.C2.C4.A2.A13.A2.A4.3D4.2A22.A2.A.C2.C4.A2.A13.A11.A2.A
4.3D4.2A$.2A4.3C4.A7.A4.D2.D.A2.A19.A2.A2.C2.C3.A2.A15.A2.A3.D2.D2.A
2.A20.A2.A2.C2.C3.A2.A27.A2.A3.D2.D2.A2.A$15.A5.A6.3D2.2A21.2A4.3C4.
2A17.2A4.D2.D.A2.A22.2A4.3C4.2A29.2A4.D2.D.A2.A$16.A3.A74.3D2.2A74.3D
2.2A$8.3D6.A.A$7.D2.D7.A36.2A6.3D2.2A54.2A6.3D2.2A$7.D2.D17.D25.A2.A
4.D2.D.A2.A17.2A4.3D4.2A20.A2.A4.D2.D.A2.A29.2A4.3D4.2A$.2A4.3D17.3D
25.A2.A3.D2.D2.A2.A15.A2.A2.D2.D3.A2.A20.A2.A3.D2.D2.A2.A27.A2.A2.D2.
D3.A2.A$A2.A18.3D3.D3.2A22.2A4.3D4.2A17.A2.A.D2.D4.A2.A20.2A4.3D4.2A
29.A2.A.D2.D4.A2.A$.A2.A6.D5.3D2.D2.D5.A2.A54.2A2.3D6.2A66.2A2.3D6.2A
$2.2A6.3D3.D2.D2.D2.D6.A2.A$11.D4.D2.D3.3D7.2A22.2A2.3D62.2A2.3D6.2A$
16.3D37.A2.A.D2.D4.2A17.2A4.3D4.2A22.A2.A.D2.D4.A2.A27.2A4.3D4.2A$9.A
45.A2.A2.D2.D3.A2.A15.A2.A3.D2.D2.A2.A20.A2.A2.D2.D3.A2.A27.A2.A3.D2.
D2.A2.A$8.A.A6.A9.A28.2A4.3D4.A2.A13.A2.A4.D2.D.A2.A22.2A4.3D4.2A27.A
2.A4.D2.D.A2.A$7.A2.A5.A.A7.A.A41.A2.A5.A5.A2.A6.3D2.2A66.2A6.3D2.2A$
7.A.A6.A2.A5.A2.A42.A2.A3.A.A3.A2.A$8.A8.A.A5.A.A35.3D6.A.A2.A2.A3.A.
A37.2A6.3D2.2A$18.A7.A35.D2.D7.A3.A.A5.A37.A2.A4.D2.D.A2.A29.2A4.3D4.
2A$62.D2.D12.A16.D28.A2.A3.D2.D2.A2.A27.A2.A2.D2.D3.A2.A$56.2A4.3D29.
3D28.2A4.3D4.2A29.A2.A.D2.D4.A2.A$55.A2.A18.3D9.3D3.D3.2A69.2A2.3D6.
2A$56.A2.A6.D5.3D2.D2.D3.3D2.D2.D5.A2.A$57.2A6.3D3.D2.D2.D2.D2.D2.D2.
D2.D6.A2.A23.2A2.3D$66.D4.D2.D3.3D2.D2.D3.3D7.2A23.A2.A.D2.D4.2A29.2A
4.3D4.2A$71.3D9.3D38.A2.A2.D2.D3.A2.A27.A2.A3.D2.D2.A2.A$64.A60.2A4.
3D4.A2.A11.A13.A2.A4.D2.D.A2.A$63.A.A6.A11.A9.A44.A2.A5.A3.A.A5.A5.A
2.A6.3D2.2A$62.A2.A5.A.A5.A3.A.A7.A.A44.A2.A3.A.A2.A2.A3.A.A3.A2.A$
62.A.A6.A2.A3.A.A2.A2.A5.A2.A36.3D6.A.A2.A2.A3.A.A2.A2.A3.A.A$63.A8.A
.A2.A2.A3.A.A5.A.A36.D2.D7.A3.A.A5.A3.A.A5.A$73.A3.A.A5.A7.A37.D2.D
12.A11.A16.D$78.A46.2A4.3D41.3D$124.A2.A18.3D9.3D9.3D3.D3.2A$125.A2.A
6.D5.3D2.D2.D3.3D2.D2.D3.3D2.D2.D5.A2.A$126.2A6.3D3.D2.D2.D2.D2.D2.D
2.D2.D2.D2.D2.D2.D6.A2.A$135.D4.D2.D3.3D2.D2.D3.3D2.D2.D3.3D7.2A$140.
3D9.3D9.3D$133.A$132.A.A6.A11.A11.A9.A$131.A2.A5.A.A5.A3.A.A5.A3.A.A
7.A.A$131.A.A6.A2.A3.A.A2.A2.A3.A.A2.A2.A5.A2.A$132.A8.A.A2.A2.A3.A.A
2.A2.A3.A.A5.A.A$142.A3.A.A5.A3.A.A5.A7.A$147.A11.A!
The turn happens to have repeat time 39, the same as the new oscillator!

From this we finally get a p43 (attached) and a nontrivial p42:

Code: Select all

x = 51, y = 51, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
26.A$11.A7.A5.A.A3.A$10.A.A5.A.A3.A2.A2.A.A8.A$9.A2.A5.A2.A2.A.A3.A2.
A6.A.A$9.A.A7.A.A3.A5.A.A5.A2.A$10.A2.5B2.A7.2B2.A6.A.A$12.4B3A3.9B3.
4B2.A$10.5BA3B3D9BDCD5B.B$3.2A4.3B2DCB2AD2BD2B3D3BDABC4BD3B$2.A2.A2.
4BDBADABD2BD2BD2BD2BCBAD3B3D3B3.2A$3.A2.A5BDBAD2BC2D3BD2BD2BDCD5BD5B.
A2.A$4.2A2.BD3B2DC4BA4B3D16B2.A2.A$7.B3D5BA8B3.6B.5B3D2B2.2A$6.3BD7B
5.2B2.A9.3BD2BD3B$6.10B3.A5.A.A3.A3.4BD2AC3B$6.7B.B3.A.A3.A2.A2.A.A3.
3BC2DBA2B$6.6B5.A2.A3.A.A3.A2.A3.BA2B2ABAB$3.2A2.DCD3B3.A2.A5.A5.A2.A
3.4BABAB$2.A2.A.CBAD2B2.A2.A13.A2.A2.2BC2DBA2.2A$.A2.A2.DABC2B.A2.A
15.A2.A.2BD2BD2.A2.A$2.2A2.2BDCD2B2.2A17.2A2.BAD2BD.A2.A$5.8B25.3B3D
2.2A$5.8B24.8B$.2A3.3B3D2.2A21.8B$A2.A2.2BD2BD.A2.A17.2A2.2B3D2B2.2A$
.A2.A.2BD2BD2.A2.A15.A2.A2.D2BD2B.A2.A$2.2A2.2B3D2B2.2A17.A2.A.D2BD2B
2.A2.A$6.8B21.2A2.3D3B3.2A$6.8B24.8B$3.2A2.3D3B25.8B$2.A2.A.D2BDAB2.
2A17.2A2.2BDCD2B2.2A$.A2.A2.D2BD2B.A2.A15.A2.A.2BCBAD2.A2.A$2.2A2.AB
2DC2B2.A2.A13.A2.A2.2BDABC.A2.A$5.BABA4B3.A2.A5.A5.A2.A3.3BDCD2.2A$5.
BAB2A2BAB3.A2.A3.A.A3.A2.A5.6B$5.2BAB2DC3B3.A.A2.A2.A3.A.A3.B.7B$5.3B
C2AD4B3.A3.A.A5.A3.10B$5.3BD2BD3B9.A2.2B5.7BD3B$2.2A2.2B3D5B.6B3.8BA
5B3DB$.A2.A2.16B3D4BA4BC2D3BDB2.2A$2.A2.A.5BD5BDCD2BD2BD3B2DC2BDABD5B
A2.A$3.2A3.3B3D3BDABC2BD2BD2BD2BDBADABD4B2.A2.A$9.3BD4BCBAD3B3D2BD2BD
2ABC2D3B4.2A$10.B.5BDCD9B3D3BA5B$10.A2.4B3.9B3.3A4B$9.A.A6.A2.2B7.A2.
5B2.A$8.A2.A5.A.A5.A3.A.A7.A.A$8.A.A6.A2.A3.A.A2.A2.A5.A2.A$9.A8.A.A
2.A2.A3.A.A5.A.A$19.A3.A.A5.A7.A$24.A!
poolperson87 wrote:
June 29th, 2025, 4:09 pm
So, all we need is p23, p27, p29, p30, p35, p36, p37, p42, p43 (p46 is covered by a later post).
Building from this list, current missing true periods: p23, p27, p29, p33, p35, p37. (Bold = does not exist even trivially)

EDIT: Went through the rest of FWKnightship's skew results. There was also a cool new p10 rotor, p16, p25, and p42. The last one was actually the first nontrivial p42, since it came in before I constructed the above loop!
Attachments
5w-p43-loop.mc
(25.59 KiB) Downloaded 22 times

User avatar
silversmith
Posts: 459
Joined: June 15th, 2020, 6:20 pm
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Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by silversmith » July 1st, 2025, 3:40 am

Nice discoveries. This inspired me to search for any low repeat time conduits which could attach to the RT-24 track, and I found these:

Code: Select all

x = 43, y = 16, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
9.3C2.2A18.3C2.2A$8.C2.C.A2.A16.C2.C.A2.A$8.C2.C2.A2.A15.C2.C2.A2.A$8.
3C4.2A16.3C4.2A2$2.2A$.A2.A21.2A$A2.A21.A2.A$.2A23.A2.A$27.2A$9.D$8.3D
$9.D$34.D$33.3D$34.D!
Together with that track, they enable oscillators of periods greater than 31. Here are periods 32 and 33:

Code: Select all

x = 154, y = 116, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
76.A49.A$75.A.A11.A7.A27.A.A11.A7.A$74.A2.A10.A.A5.A.A25.A2.A10.A.A5.A
.A$74.A.A10.A2.A4.A3.A24.A.A10.A2.A4.A3.A$63.A11.A11.A.A4.A3.A14.A11.A
11.A.A4.A3.A$62.A.A15.A7.A6.A.A14.A.A23.A6.A.A$61.A3.A12.2A11.A4.A14.A
3.A30.A$62.A3.A10.A.A7.3D2A20.A3.A2.A24.A$63.A.A3.D6.2A2.3D3.D2.C2A2.D
18.A.A2.ACA9.3C10.ADA$64.A3.3D4.3A.AD2.D2.D.ACA2.3D18.A2.A3CA8.C2.C8.A
3DA$69.D6.3A.D2.D2.3DA4.D23.ACA9.C2.C9.ADA$77.3A.3D6.A.A26.A11.3C10.A$
78.2A11.A$62.2A6.2A7.A2.A9.A19.2A18.A$61.A2.A2.CDC.A9.A.A3.A12.2A9.A2.
A2.3D11.A.A3.A12.2A$62.A2.A.DA.C4.2A3.A2.A2.A.A10.A2.A9.A2.A.D2.D4.2A
3.A2.A2.A.A10.A2.A$63.2A2.D.AD3.A2.A2.A.A2.A2.A5.A5.A2.A9.2A2.D2.D3.A
2.A2.A.A2.A2.A11.A2.A$68.3D4.A2.A2.A3.A.A4.4A5.2A15.3D4.A2.A2.A3.A.A
13.2A$76.2A8.A5.A2.2A29.2A8.A$91.2A2.A.A22.A$61.2A6.3D2.2A11.2A3.AC2D
2.A12.2A5.A3C2.2A11.2A4.DCD$60.A2.A4.D2.D.A2.A9.A2.A2.D2.C3.A10.A2.A4.
C2.C.A2.A9.A2.A2.DA.C$61.A2.A3.D2.D2.A2.A9.A2.A.D2.D2.A12.A2.A2.AC2.C
2.A2.A9.A2.A.C.ADA$62.2A4.3D4.2A11.2A2.3D17.2A4.3CA3.2A11.2A2.DCD2.A$
119.A24.A$69.A$63.2A2.DCD2.A3.2A9.2A4.3D4.2A11.2A2.3D17.2A4.3D4.2A$14.
3D2.3D2.3D35.A2.A.C.ADA3.A2.A7.A2.A3.D2.D2.A2.A9.A2.A.D2.D15.A2.A3.D2.
D2.A2.A$14.D2.D4.D4.D33.A2.A2.DA.C3.A2.A7.A2.A4.D2.D.A2.A9.A2.A2.D2.D
14.A2.A4.D2.D.A2.A$14.3D3.2D3.2D35.2A4.DCD4.2A9.2A6.C2D2.2A11.2A4.3D
15.2A6.3D2.2A$14.D7.D.D68.3A$14.D4.3D2.4D64.3A.A4.2A8.A$61.2A6.3D2.2A
11.2A2.A.C2D.A2.A2.A2.A3.A.A13.2A9.2A4.3D4.2A$60.A2.A4.D2.D.A2.A9.A2.A
2.D2.D2A.A2.A2.A.A2.A2.A6.A4.A2.A7.A2.A2.D2.D3.A2.A$61.A2.A3.D2.D2.A2.
A9.A2.A.C2AD.A2.2A3.A2.A2.A.A5.A4.A2.A9.A2.A.D2AC4.A2.A$62.2A4.3D4.2A
11.2A2.3D.A9.A.A3.A9.2A.2A11.2A2.C2D.A4.2A$95.A11.A9.A.A.A19.A2.2A.A$
68.A43.A5.3A24.A.A$16.A46.2A2.CDC6.2A19.A8.3D2.3A5.A17.2A4.C2D.A2.2A$
15.A.A11.A7.A24.A2.A.D2AC4.A2.A15.D.A.A6.D2.D.A3CA4.D16.A2.A3.D2.D2.A
2.A$14.A2.A10.A.A5.A.A22.A2.A2.C2ADA2.A2.A11.A3.2DC3.A5.D2.D2AC.ACA2.
3D14.A2.A3.AD2.D.A2.A$14.A.A10.A2.A4.A3.A22.2A4.CDC4.2A11.A.A3.D.A2.A
5.3D2.ACA.C2A2.D16.2A6.3D2.2A$3.A11.A11.A.A4.A3.A30.A17.A3.A5.2A12.A3D
$2.A.A23.A6.A.A48.A3.A8.A21.A$.A3.A30.A24.2A6.3D2.2A11.A.A9.A13.A6.A.A
14.2A4.3D4.2A$2.A3.A2.A17.3D4.A25.A2.A4.D2.D.A2.A11.A11.A11.A.A4.A3.A
12.A2.A2.D2.D3.A2.A$3.A.A2.ADA9.3C3.D2.D3.ADA25.A2.A3.D2.D2.A2.A21.A.A
10.A2.A4.A3.A12.A2.A.D2.D4.A2.A$4.A2.ADCDA8.C2.C2.D2.D2.ADCDA25.2A4.3D
4.2A22.A2.A10.A.A5.A.A14.2A2.D2CA5.2A$8.ADA9.C2.C2.3D4.ADA32.A31.A.A
11.A7.A20.A2.A$9.A11.3C10.A33.2A31.A40.2A2.A$63.2A2.D2CA5.2A59.2A2.2AD
2CA3.2A$2.2A18.A39.A2.A.D.ACA3.A2.A57.A2.A2.AD2.D2.A2.A$.A2.A2.3D11.A.
A3.A12.2A19.A2.A2.DA.C2A.A2.A57.A2.A2.2AD.AD.A2.A$2.A2.A.D2.D4.2A3.A2.
A2.A.A10.A2.A19.2A3.A3CA3.2A59.2A4.A.DCD2.2A$3.2A2.D2.D3.A2.A2.A.A2.A
2.A11.A2.A24.3A$8.3D4.A2.A2.A3.A.A13.2A26.A$16.2A8.A34.2A6.3D2.2A23.3D
2.3D2.3D25.2A4.3D4.2A$60.A2.A4.D2.D.A2.A22.D2.D4.D4.D23.A2.A2.D2.D3.A
2.A$9.3C2.2A11.2A4.3C25.A2.A3.D2.D2.A2.A21.3D3.2D3.2D25.A2.A.D2.D4.A2.
A$8.C2.C.A2.A9.A2.A2.C2.C26.2A4.3D4.2A22.D7.D4.D25.2A2.3D6.2A$8.C2.C2.
A2.A9.A2.A.C2.C63.D4.3D2.3D32.A$8.3C4.2A11.2A2.3C108.3A$63.2A2.DCD.A4.
2A59.2A3.A3CA3.2A$17.A8.2A34.A2.A.DA.D2A2.A2.A57.A2.A.2AC.AD2.A2.A$.2A
13.A.A3.A2.A2.A4.3D25.A2.A2.D2.DA2.A2.A57.A2.A3.ACA.D.A2.A$A2.A11.A2.A
2.A.A2.A2.A3.D2.D2.2A21.2A3.A2CD2A2.2A59.2A5.A2CD2.2A$.A2.A10.A.A2.A2.
A3.2A4.D2.D.A2.A25.A2.2A40.A31.2A$2.2A12.A3.A.A11.3D2.A2.A24.A2.A20.A
7.A11.A.A31.A$21.A18.2A19.2A5.A2CD2.2A14.A.A5.A.A10.A2.A22.2A4.3D4.2A$
60.A2.A4.D2.D.A2.A12.A3.A4.A2.A10.A.A21.A2.A2.D2.D3.A2.A$9.A10.3C11.A
26.A2.A3.D2.D2.A2.A12.A3.A4.A.A11.A11.A11.A2.A.D2.D4.A2.A$8.ADA4.3D2.C
2.C9.ADA26.2A4.3D4.2A14.A.A6.A13.A9.A.A11.2A2.3D6.2A$7.ADCDA2.D2.D2.C
2.C8.ADCDA2.A52.A21.A8.A3.A$8.ADA3.D2.D3.3C9.ADA2.A.A58.3DA12.2A5.A3.A
17.A$9.A4.3D17.A2.A3.A21.2A2.3D6.2A16.D2.2AC.ACA2.3D5.A2.A.D3.A.A11.2A
4.CDC4.2A$7.A30.A3.A19.A2.A.D2.DA3.A2.A14.3D2.ACA.C2AD2.D5.A3.C2D3.A
11.A2.A2.AD2AC2.A2.A$6.A.A6.A23.A.A19.A2.A2.D2.D3.A2.A16.D4.A3CA.D2.D
6.A.A.D15.A2.A4.C2AD.A2.A$5.A3.A4.A.A11.A11.A21.2A2.A.2DC4.2A17.A5.3A
2.3D8.A19.2A6.CDC2.2A$4.A3.A4.A2.A10.A.A36.A.A24.3A5.A43.A$5.A.A5.A.A
10.A2.A36.A.2A2.A19.A.A.A9.A11.A$6.A7.A11.A.A32.2A4.A.2DC2.2A11.2A.2A
9.A3.A.A9.A.3D2.2A11.2A4.3D4.2A$27.A32.A2.A4.C2AD.A2.A9.A2.A4.A5.A.A2.
A2.A3.2A2.A.D2AC.A2.A9.A2.A2.D2.D3.A2.A$61.A2.A3.D2.D2.A2.A7.A2.A4.A6.
A2.A2.A.A2.A2.A.2AD2.D2.A2.A9.A2.A.D2.D4.A2.A$62.2A4.3D4.2A9.2A13.A.A
3.A2.A2.A2.A.2DC.A2.2A11.2A2.3D6.2A$102.A8.2A4.A.3A$118.3A$63.2A2.3D6.
2A15.3D4.2A11.2A2.2DC6.2A9.2A4.DCD4.2A$62.A2.A.D2.D4.A2.A14.D2.D2.A2.A
9.A2.A.D2.D4.A2.A7.A2.A3.C.AD2.A2.A$61.A2.A2.D2.D3.A2.A15.D2.D.A2.A9.A
2.A2.D2.D3.A2.A7.A2.A3.ADA.C.A2.A$62.2A4.3D4.2A17.3D2.2A11.2A4.3D4.2A
9.2A3.A2.DCD2.2A$144.A$69.A24.A$66.A2.DCD2.2A11.2A3.A3C4.2A17.3D2.2A
11.2A4.3D4.2A$67.ADA.C.A2.A9.A2.A2.C2.CA2.A2.A12.A2.D2.D.A2.A9.A2.A2.D
2.D3.A2.A$68.C.AD2.A2.A9.A2.A.C2.C4.A2.A10.A3.C2.D2.A2.A9.A2.A.D2.D4.A
2.A$68.DCD4.2A11.2A2.3CA5.2A12.A2.2DCA3.2A11.2A2.3D6.2A$93.A22.A.A2.2A
$77.A8.2A29.2A2.A5.A8.2A$61.2A13.A.A3.A2.A2.A4.3D15.2A5.4A4.A.A3.A2.A
2.A4.3D$60.A2.A11.A2.A2.A.A2.A2.A3.D2.D2.2A9.A2.A5.A5.A2.A2.A.A2.A2.A
3.DA.D2.2A$61.A2.A10.A.A2.A2.A3.2A4.D2.D.A2.A9.A2.A10.A.A2.A2.A3.2A4.C
.AD.A2.A$62.2A12.A3.A.A11.3D2.A2.A9.2A12.A3.A.A9.A.CDC2.A2.A$81.A18.2A
19.A9.A2.A7.2A6.2A$122.A11.2A$69.A10.3C11.A26.A.A6.3D.3A$68.ADA4.3D2.C
2.C9.ACA23.D4.A3D2.D2.D.3A6.D$67.A3DA2.D2.D2.C2.C8.A3CA2.A18.3D2.ACA.D
2.D2.DA.3A4.3D3.A$68.ADA3.D2.D3.3C9.ACA2.A.A18.D2.2AC2.D3.3D2.2A6.D3.A
.A$69.A4.3D17.A2.A3.A20.2A3D7.A.A10.A3.A$67.A30.A3.A14.A4.A11.2A12.A3.
A$66.A.A6.A23.A.A14.A.A6.A7.A15.A.A$65.A3.A4.A.A11.A11.A14.A3.A4.A.A
11.A11.A$64.A3.A5.A2.A9.A.A24.A3.A4.A2.A10.A.A$65.A.A7.A.A8.A2.A25.A.A
5.A.A10.A2.A$66.A9.A9.A.A27.A7.A11.A.A$87.A49.A!
A mobile-first simulator with the tools I couldn’t find elsewhere: https://www.silversimulations.com/caplayer
Documentation: https://github.com/teraxtech/caplayer

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » July 1st, 2025, 1:55 pm

Brilliant, this is getting really good :mrgreen: Just a couple weeks ago I lamented finding the p136 signal generator because I didn't have anything that worked at periods as low as 136!

hibiscus found this p27 amid other results:

Code: Select all

x = 38, y = 38, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
13bo$12bobo$11bo3bo$12bo3bo$13bo3bo$14bo3bo$15bobo4bo$16bo2b2obo$18bo
3b2o$17b2o$18bo$18bobo14bo$18bobo13bobo$15bo2b2ob2o10bo3bo$8bo5b2o2b3o
b2o8bo3bo$6b3o4b2o3b2o3b2o6bo3bo$13bo16bo3bo$7bo3b2obo2b4o7bo2bobo$7bo
5b3obo2bob8o2bo$5bo2b8obo2bob3o5bo$4bobo2bo7b4o2bob2o3bo$3bo3bo16bo$2b
o3bo6b2o3b2o3b2o4b3o$bo3bo8b2ob3o2b2o5bo$o3bo10b2ob2o2bo$bobo13bobo$2b
o14bobo$19bo$19b2o$14b2o3bo$15bob2o2bo$15bo4bobo$19bo3bo$20bo3bo$21bo
3bo$22bo3bo$23bobo$24bo!
This means the remaining oscillator periods are p23 and p29.

Sylvani also found this 2c/5:

Code: Select all

x = 15, y = 18, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
7bo$2bo3b3o3bo$b3ob5ob3o$15o$o4bo3bo4bo$b3o2b3o2b3o$6bobo$5b2ob2o$5bo
3bo2$3bo2b3o2bo$2b3ob3ob3o$b13o$bo11bo$2b3ob3ob3o$7bo$5b5o$7bo!

User avatar
hibiscus
Posts: 406
Joined: August 26th, 2023, 3:30 am

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by hibiscus » July 16th, 2025, 1:13 pm

p23:

Code: Select all

x = 33, y = 33, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
22bo$21bobo$20bo3bo$21bo3bo$6bo15bo3bo$5bobo15bo3bo$4bo3bo15bo3bo$3bo
3bo17bobo$2bo3bo13bo5bo$bo3bo13bobo$o3bo5bo9bobo$bobo5bobo9bo$2bo5bobo
$9bo6bo$15bobo$14bo3bo$13bo5bo$14bo3bo$15bobo$16bo6bo$22bobo5bo$11bo9b
obo5bobo$10bobo9bo5bo3bo$11bobo13bo3bo$6bo5bo13bo3bo$5bobo17bo3bo$4bo
3bo15bo3bo$5bo3bo15bobo$6bo3bo15bo$7bo3bo$8bo3bo$9bobo$10bo!
I know these next few periods are covered by wham loops; but still:
p35:

Code: Select all

x = 30, y = 45, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2bo24bo$bobo22bobo$o3bo20bo3bo$bo3bo18bo3bo$2bo3bo16bo3bo$3bo3bo14bo3b
o$4bo3bo12bo3bo$5bo3bo10bo3bo$6bobo12bobo$7bo14bo5$8b3o8b3o$8bobo8bobo
$8b3o8b3o3$2bo24bo$bobo22bobo$o3bo20bo3bo$bo3bo18bo3bo$2bobo20bobo$3bo
22bo4$8b3o8b3o$8bobo8bobo$8b3o8b3o5$7bo14bo$6bobo12bobo$5bo3bo10bo3bo$
4bo3bo12bo3bo$3bo3bo14bo3bo$2bo3bo16bo3bo$bo3bo18bo3bo$o3bo20bo3bo$bob
o22bobo$2bo24bo!
p47:

Code: Select all

x = 35, y = 16, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
8bo16bo$7bobo14bobo$6bo3bo12bo3bo$7bo3bo10bo3bo$3bo4bobo12bobo4bo$2bob
o4bo14bo4bobo$bo3bo22bo3bo$o3bo24bo3bo$bobo2bo2bo2bo8bo2bo2bo2bo3bo$2b
o2b10o4b10o2bobo$4bo4bo4bo4bo4bo4bo2bo$4bo2b2ob2o2bo4bo2b2ob2o2bo$5bob
2ob2obo6bob2ob2obo$6bo5bo8bo5bo$7bo3bo10bo3bo$8b3o12b3o!
p53:

Code: Select all

x = 45, y = 45, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
16b2obobobobob2o$15bo2bobobobobo2bo$16bo11bo$17bo9bo$18bo7bo$14bo4bo5b
o4bo$13b3o4bo3bo4b3o$14bo6bobo6bo$22bo2$13b3o13b3o$13bobo13bobo$12b5ob
o7bob5o$6bo3b4ob3o2bobobo2b3ob4o3bo$5b3o2bobo3b3o2b3o2b3o3bobo2b3o$bo
4bo3b4o2bo5bo5bo2b4o3bo4bo$obo9b4obo9bob4o9bobo$o2bo9b2obo5bo5bob2o9bo
2bo$bo2bo7bobo6bobo6bobo7bo2bo$o4bo14bo3bo14bo4bo$bo4bo6bo5bo5bo5bo6bo
4bo$o6bo6bo3bo7bo3bo6bo6bo$bo6bo4b3obo9bob3o4bo6bo$o6bo6bo3bo7bo3bo6bo
6bo$bo4bo6bo5bo5bo5bo6bo4bo$o4bo14bo3bo14bo4bo$bo2bo7bobo6bobo6bobo7bo
2bo$o2bo9b2obo5bo5bob2o9bo2bo$obo9b4obo9bob4o9bobo$bo4bo3b4o2bo5bo5bo
2b4o3bo4bo$5b3o2bobo3b3o2b3o2b3o3bobo2b3o$6bo3b4ob3o2bobobo2b3ob4o3bo$
12b5obo7bob5o$13bobo13bobo$13b3o13b3o2$22bo$14bo6bobo6bo$13b3o4bo3bo4b
3o$14bo4bo5bo4bo$18bo7bo$17bo9bo$16bo11bo$15bo2bobobobobo2bo$16b2obobo
bobob2o!
May the p83 and p97 oscillators I accidentally erased while making this post rest in peace.
Edit: a p71 I found in an nbsearch run on 13 July 2025:

Code: Select all

x = 45, y = 46, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
$22bo$21bobo$20bobobo$19bo2bo2bo$18bo2bobo2bo3$17b2o7b2o$12b2o17b2o$
11bo2bo6b3o6bo2bo$10bo2bo7bobo7bo2bo$9bo2bo7b2ob2o7bo2bo$8bo2bo4bobo3b
o3bobo4bo2bo$8bobo6bobobobobobo6bobo$9bo8b3o3b3o8bo$19bobobobo$12bo6bo
5bo6bo$7bo5bo3b11o3bo5bo$4bo2bo4bobo2bo2b2ob2o2bo2bobo4bo2bo$3bo9b5o3b
3o3b5o9bo$2bo8bo2bo2b2o3bo3b2o2bo2bo8bo$bo2bo4b3obobob3o5b3obobob3o4bo
2bo$ob2o5bo2bo4bob2o3b2obo4bo2bo5b2obo$bo2bo4b3obobob3o5b3obobob3o4bo
2bo$2bo8bo2bo2b2o3bo3b2o2bo2bo8bo$3bo9b5o3b3o3b5o9bo$4bo2bo4bobo2bo2b
2ob2o2bo2bobo4bo2bo$7bo5bo3b11o3bo5bo$12bo6bo5bo6bo$19bobobobo$9bo8b3o
3b3o8bo$8bobo6bobobobobobo6bobo$8bo2bo4bobo3bo3bobo4bo2bo$9bo2bo7b2ob
2o7bo2bo$10bo2bo7bobo7bo2bo$11bo2bo6b3o6bo2bo$12b2o17b2o$17b2o7b2o3$
18bo2bobo2bo$19bo2bo2bo$20bobobo$21bobo$22bo!
Edit 2: I believe the p97 was of D8_1 symmetry, as it created and destroyed a large diamond in the centre. I don't ever remember seeing the p83 at all, though - all I know about it was that existed, as evidenced by nbsearch2a's list of periods: [82-84].

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!

M. I. Wright
Posts: 406
Joined: June 13th, 2015, 12:04 pm

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by M. I. Wright » July 20th, 2025, 10:50 pm

Yay! I updated the osc stamp collection.

A bunch of nothingburger updates from me --

1. I've resumed trying to make a transparent-diamond memory cell via the tried-and-horribly-untrue method of manual catforcing (tFrece-ing). I actually have pzq_alex's ntcatforce compiled for this rule but I'm unsure how to define the search space for this problem. The furthest I got by hand is technically getting two different outputs when the memory cell is in different states, just with a W that's impossible to initially inject:

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x = 88, y = 38, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
3.A$2.A.A58.A$.A3.2A55.A.A$2.A4.A53.A3.2A$3.A4.A53.A4.A$2.A4.A55.A4.A
$2.A2.2A55.A4.A$.A2.A57.A2.2A$2.2A57.A2.A$.A2.A57.2A$A2.A57.A2.A$A.A
57.A2.A$.A58.A.A$61.A$25.2A$9.3C12.A2.A57.2A$8.C2.C11.A2.A42.3C12.A2.
A$8.C2.C12.2A42.C2.C11.A2.A$8.3C57.C2.C12.2A$68.3C3$7.E$6.E.E11.A46.D
$5.E3.E9.A.A44.D.D11.A$4.E5.E7.A3.A42.D3.D9.A.A$3.E7.E7.A3.A40.D5.D7.
A3.A$2.E9.E7.A.A40.D7.D7.A3.A$.E11.E7.A40.D9.D7.A.A$E13.E5.A40.D11.D
7.A$.E11.E5.A.A38.D13.D5.A$2.E9.E5.A3.A38.D11.D5.A.A$3.E7.E7.A3.A38.D
9.D5.A3.A$4.E5.E9.A.A40.D7.D7.A3.A$5.E3.E11.A42.D5.D9.A.A$6.E.E56.D3.
D11.A$7.E58.D.D$67.D!
This circuit actually seems like it'll be a real pain in the neck to complete. We'll need to leave open space to inject the read signal (aka the W at gen 0), separate open space for set/unset/toggle/etc signals (aka reactions that place/delete/toggle/etc the transparent diamond), and then also somehow find a way to get two different usable signals out. Probably looking for another memory-cell reaction would be a better place to start...

EDIT: Well, this is a more promising lead:

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x = 96, y = 32, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
94.A$26.A66.A.A$25.A.A64.A2.A$24.A2.A63.A2.A$23.A2.A63.A.2A$22.A.2A
63.A$21.A66.A.A$20.A.A64.A3.A$19.A3.A64.A3.A$20.A3.A52.3C9.A.A$9.3C9.
A.A52.C2.C10.A$8.C2.C10.A53.C2.C11.A$8.C2.C11.A52.3C11.A$8.3C11.A66.A
$21.A66.A$20.A68.A$21.A53.D13.A$7.E13.A52.D.D11.A$6.E.E11.A52.D3.D9.A
.A$5.E3.E9.A.A50.D5.D7.A3.A$4.E5.E7.A3.A48.D7.D7.A3.A$3.E7.E7.A3.A46.
D9.D7.A.A$2.E9.E7.A.A46.D11.D7.A$.E11.E7.A46.D13.D$E13.E54.D11.D$.E
11.E56.D9.D$2.E9.E58.D7.D$3.E7.E60.D5.D$4.E5.E62.D3.D$5.E3.E64.D.D$6.
E.E66.D$7.E!
But I just realized that even with all this clearance there's actually still no (known) way to inject a wham from the left side -- all the edgy conduits I'm aware of collide with the memory-bit diamond. This is probably surmountable with a new conduit discovery.

Along the way I also accidentally found this cool magic-trick-like catalysis of uncertain actual value:

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x = 37, y = 29, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
7.E$6.E.E$5.E3.E$4.E5.E$3.E7.E$2.E9.E$.E11.E$E13.E7.3C$.E11.E7.C2.C$
2.E9.E8.C2.C$3.E7.E9.3C$4.E5.E$5.E3.E$6.E.E$7.E12.E$19.E.E11.A$18.E3.
E9.A.A$17.E5.E7.A3.A$16.E7.E7.A3.A$15.E9.E7.A.A$14.E11.E7.A$13.E13.E$
14.E11.E$15.E9.E$16.E7.E$17.E5.E$18.E3.E$19.E.E$20.E!
I also found a (dirty) W->(the symmetrical explosion that's part of the xq3 synthesis), but it's unfortunately unusable for an improved xq3 gun because the conduit gets in the way of the synthesis's reaction :(

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x = 23, y = 33, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
20.A$12.A6.A.A$11.A.A4.A3.A$10.A3.A2.A3.A$11.A3.A2.A.A$12.A.A4.A$13.A
11$18.3C$17.C2.C$17.C2.C$17.3C3$3D$D.D$D.D$.D$12.A$11.A.A$10.A3.A$11.
A3.A$12.A.A$13.A!
Lastly, accidentally found this p50 made from two copies of a W->W reaction, from which I then found a p40:

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x = 61, y = 24, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
53bo$52bobo$51bo3bo$13bo36bo3bo3b2o$12bobo36bobo3bo2bo$11bo3bo36bo3bo
2bo$6b2o2bo3bo42b2o$5b2obo2bobo37bo$5bobo4bo37bobo$6bo42bobo$50bo3$3bo
$2bobo$bo3bo$o3bo$bobo39b2obo$2bo39bo2bo3bo$41bo2bo3bobo$42b2o3bo3bo$
46bo3bo$47bobo$48bo!
The fact that it's still so easy to manually find stuff like this tells me that a calculated ntgencols or ntcatforce search would go a long way... (pending motivation!)

EDIT: Just found a p106 signal generator (capped off with diamonds to turn it into an oscillator), an unfortunately uncompletable would-be p96 oscillator using the same engine, and a p44 oscillator that is technically a signal generator but its outputs (bams) are unusable and have to be capped off like with the below blinkers :(

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x = 130, y = 60, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8History
16.A$15.A.A$14.A3.A$13.A5.A$12.A7.A$11.A9.A$10.A11.A$9.A13.A$10.A11.A
$11.A9.A$12.A7.A$13.A5.A$14.A3.A$15.A.A$16.A106.A$13.2B107.BAB$12.5B
106.A$6.4B.7B$5.8B3A3B103.3B$4.15B103.3B$2.12BA7B96.B2.5B2.B$2.21B40.
5D49.3A.5B.3A$2.22B39.D3.D50.B2.2BA2B2.B$.11B5C7B39.D3.D7.A44.2B3A2B$
12BC3BC7B40.3D7.A.A43.3BA3B$.11BC3BC6B50.A3.A42.7B$2.11B3C6B2.A47.A3.
A43.7B$4.17B2.A.A47.A.A44.7B$6.15B.A3.A47.A45.7B$7.13B3.A3.A36.3A53.
7B$7.13B3.A3.A35.A3.A52.7B$6.15B.A3.A36.A3.A52.7B$4.17B2.A.A37.5A50.B
2.5B2.B$2.11B3D6B2.A92.3A.5B.3A$.11BD3BD6B95.B2.5B2.B$12BD3BD7B98.3B$
.11B5D7B98.3B$2.22B$2.21B100.A$2.20B100.BAB$4.15B104.A$5.14B$6.4B.7B$
12.5B$13.2B$16.A$15.A.A$14.A3.A$13.A5.A$12.A7.A$11.A9.A$10.A11.A$9.A
13.A$10.A11.A$11.A9.A$12.A7.A$13.A5.A$14.A3.A$15.A.A$16.A!

User avatar
hibiscus
Posts: 406
Joined: August 26th, 2023, 3:30 am

Re: Wright's Wrevised Wrhombic Wrectangle Wrule (B3air4aceirw567/S2-a3-aejr4cknqy5ejky8)

Post by hibiscus » July 22nd, 2025, 9:46 am

I just realized you could monomerize the p23:

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x = 20, y = 21, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
6bo$5bobo$4bo3bo$5bo3bo$6bobo3bo$7bo3bobo$10bo3bo$11bo3bo$12bobo$13bo
$7bo8bo$6bobo6bobo$7bobo4bo3bo$2bo5bo6bo3bo$bobo12bobo$o3bo12bo$bo3bo
$2bo3bo$3bo3bo$4bobo$5bo!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!

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