Miscellaneous Discoveries in Other Cellular Automata

confocaloid · Post by **confocaloid** » March 9th, 2024, 7:44 am

TYCF wrote: ↑
March 9th, 2024, 3:56 am
A c/47 oblique spaceship.
Code: Select all
x = 3, y = 3, rule = B2e34i78/S23a4i5ae678
2bo$bo$3o!

Correction: it's a p47 spaceship (its period is 47), but it does not move with speed c/47. Its speed is (7,3)c/47, because it moves by (7,3) in 47 ticks.

Grasshopper8128 · Post by **Grasshopper8128** » March 9th, 2024, 9:19 am

A 6c/31 orthogonal replicator

Code: Select all

x = 6, y = 3, rule = B01e3/S23-y
6o2$6o!

The rule is 3 transitions away from Life

TYCF · Post by **TYCF** » March 9th, 2024, 9:22 am

confocaloid wrote: ↑
March 9th, 2024, 7:44 am
TYCF wrote: ↑
March 9th, 2024, 3:56 am
A c/47 oblique spaceship.
Code: Select all
x = 3, y = 3, rule = B2e34i78/S23a4i5ae678
2bo$bo$3o!
Correction: it's a p47 spaceship (its period is 47), but it does not move with speed c/47. Its speed is (7,3)c/47, because it moves by (7,3) in 47 ticks.

Sorry, I keep getting confused.

confocaloid · Post by **confocaloid** » March 9th, 2024, 9:30 am

Grasshopper8128 wrote: ↑
March 9th, 2024, 9:19 am

I think comparing a strobing rule to a non-strobing rule by counting tweaks in the rulestring is misleading. The effect of toggling B0 is not comparable to the effect of toggling B1e, which is not comparable to the effect of toggling S3y.

The only thing that makes B0, B1e, S3y similar is that all of them are completely specified isotropic 3-by-3 conditions, and each of them can be toggled individually in a rulestring written using Hensel notation. Otherwise they have very different effects.

confocaloid · Post by **confocaloid** » March 12th, 2024, 11:19 pm

H. H. P. M. P. Cole wrote: ↑
March 8th, 2024, 10:52 pm
[...]
The three small c/2 spaceships in this rule will be called (from left to right) the chevron, grin, and long chevron.
Code: Select all
x = 16, y = 4, rule = B2-ac3-a/S2-e3-eir
bo5b2o5bo$obo3bo2bo3bobo2$15bo!
Not only that, this rule has a tiny p33 double-barreled chevron gun which can be capped by a duoplet:
Code: Select all
x = 11, y = 3, rule = B2-ac3-a/S2-e3-eir
7bobo$bo4bo3bo$o6bobo!
(the chevron from the other side rephases the duoplet)
[...]

Several reactions:

Code: Select all

#C reusable p18 2-tick chevron delayer;
#C a chevron passing without any interactions;
#C one-time p2 3-tick chevron advancer;
#C one-time p2 4-tick chevron advancer
x = 31, y = 13, rule = B2-ac3-a/S2-e3-eir
7bobo4bobo4bobo4bobo$8bo6bo6bo6bo6$2bo$2o$o3bo$o3bo24bo$o3bo16b3o5bo$bo27bo!

Are there 90-degree chevron reflectors, not counting those where the p33 gun is used?

Code: Select all

#C p33 90-degree chevron reflector
x = 27, y = 63, rule = B2-ac3-a/S2-e3-eir
25bo$24b3o16$24bobo$25bo20$7b3o$6bo3bo$5bo5bo$bo$o4bo5bo$6bo3bo$7b3o7$
20bobo$19bo3bo$18bo5bo$18bo5bo$18bo5bo$19bo3bo$20bobo4$21bo$20bo!

H. H. P. M. P. Cole wrote: ↑
March 8th, 2024, 10:52 pm
this rule is sadly unapgsearchable.

It seems like the rule is apgsearchable: /census/b2-ac3-as2-e3-eir/C1
It is just slow because of the natural gun.

Here are two p3 oscillators found with Logic Life Search:

Code: Select all

x = 21, y = 10, rule = B2-ac3-a/S2-e3-eir
2bo13bobo$o14bo$4bo10bo4bo$o3bo$4bo10b4obo$bo13bob4o$bo3bo$bo13bo4bo$
5bo14bo$3bo13bobo!

iddi01 · Post by **iddi01** » March 13th, 2024, 2:23 am

In B3-kn/S23, B-heptomino Behaves aBsurd, Becoming an oBlique Breeder (sort of):

Code: Select all

x = 4, y = 3, rule = B3-kn/S23
2bo$b3o$2obo!

This oscillator in B2-a3aei4w/S1e2i4c: (Note: this rule is non-explosive.)

Code: Select all

x = 3, y = 1, rule = B2-a3aei4w/S1e2i4c
obo!

Circuitry (wonder how will apgsearch treat this):

Code: Select all

x = 38, y = 24, rule = 012ak3jy4i/2en3ijn4ikwy5i/4
6$12.A.A.A.A2$12.A4.A$19.A.A$13.A3.A$20.A$13.A8.A.A$20.A$13.A9.A$31.A
.A.A$4.A2.A.A.A.A.A.A.A.A.A.A.A.A$4.2A29.A$4.A2.A.A.A.A.A.A.A.A.A.A.A
.A.B2A$18.2AB9.BA.A.A$20.BA.A!

Failed attempt at emulating CGoL using vN neighborhood:

Code: Select all

x = 179, y = 43, rule = VNlife
2$171.A$171.A$171.A$171.A$154.A16.A$139.A14.A16.A$124.A14.A14.A16.A$
86.A23.A13.A14.A14.A16.A$86.A11.A11.A13.A14.A14.A16.A$86.A11.A11.A13.
A14.A14.A16.A$86.A11.A11.A13.A14.A14.A16.A$73.A12.A11.A11.A13.A14.A
14.A16.A$51.A10.2A9.A12.A11.A11.A13.A14.A14.A16.A$22.A7.2A9.A9.A9.A2.
A9.2A22.A11.A13.A14.A14.A16.A$22.A6.A.A7.5A7.2A8.A2.A33.A11.A13.A14.A
14.A16.A$6.2A14.A7.2A19.A10.2A$6.A5.3A7.A6$17.2A79.5A$18.2A78.3A.A$
35.3A48.A.A9.2A.2A$35.A.A29.3A16.A.A9.A.3A$35.A.A29.A2.A15.3A$35.2A
31.2A3$52.A2.A64.3A$52.4A61.A.2A2.A$116.9A2$116.9A$119.A.A.A$118.4A.A
!

Patterns and reactions in B3-n/S1e2-a3-e4e:

Code: Select all

x = 194, y = 94, rule = B3-n/S1e2-a3-e4e
4$168bo2$167b3o2$177bo$177bobo$177bo29$168bo2$167b3o2$177bo$177bobo$
177bo12$104bo$75bo6bo10bo9b4o14b3o$74b3o4bobo7b2obo12bo13bo2bo2b3o$25b
o34b3o10bo6b2ob2o7bob2o11b2o12bo3bo$13b4o6bobo10b4o19bo65b3o$13bo2bo8b
o10bo2bo18bo4bo61bo$13b4o19b4o19bo2b2o30b3o10b3o$93bo12bo$94bo12bo2$
179bo$179bo$168b2o9bo9b2o2$167bo3bo15bo3bo$171b2o2bo3bo3bo2b2o$168b4o
3b2ob3ob2o3b4o4$178b3o$175b2ob3ob2o$175bo7bo$175bobo3bobo2$176b2o3b2o
3$176bo5bo$177bo3bo$178b3o!

edit: Period ~900 true replicator:

Code: Select all

x = 4, y = 3, rule = B3/S234c8
2bo$b3o$2obo!

rabbit · Post by **rabbit** » March 13th, 2024, 10:22 am

In an explosive rule 3 transitions from Life, the B-heptomino becomes a beehive+MWSS puffer:

Code: Select all

x = 3, y = 4, rule = B35q6n/S234i
o$2o$b2o$2o!

In another explosive rule, the B-heptomino becomes a 10c/118 diagonal failed puffer turned spaceship:

Code: Select all

x = 3, y = 4, rule = B35kq/S234i
o$2o$b2o$2o!

FWKnightship · Post by **FWKnightship** » March 15th, 2024, 12:28 am

Some discoveries in my SoManyShips2 rule:
Spaceships
New natural elementary c/15:

Code: Select all

x = 51, y = 16, rule = SoManyShips2
37.2A.2A2.2A.A2.A$36.3A2.4A2.2A.A$3.B32.A2.A4.A.A2.2A$3.B35.3A3.2A2.
2A$.B.B.B29.A4.A.A.A.A$B5.B29.A3.2A2.A.4A$B5.B28.A2.A4.3A.A$37.4A.A.A
.5A$35.2A2.2A.A.A4.A$35.4A.4A.3A$35.8A.7A$38.A.3A.4A.A$35.3A.A2.A.A.A
.A.A$35.2A.A5.3A.A.A$38.A2.A2.5A$35.A.A.A3.4A.A!

SMOS, 3c/7 and 5c/16:

Code: Select all

x = 21, y = 15, rule = SoManyShips2
2.2A14.ABA$.4A14.B$A4.A12.B.B$.4A$.4A6$17.A$16.3A$.4A11.3B$.4B13.B$.B
2.B!

The 8c/238 is made up of two p166 oscillators:

Code: Select all

x = 17, y = 31, rule = SoManyShips2
.2A.B$.3A$2.3A$.B.2A4$13.B$9.3B8$15.AB$13.2A.A$14.2A$15.A$5.A$4.A.A$
3.A$4.A2.A$6.A2.A$10.A$7.A.A$8.A3$B!

12c/32 (6c/16 domino puffer and 12c/32 domino eater):

Code: Select all

x = 21, y = 62, rule = SoManyShips2
2.B15.B$.B.B13.B.B$2.B7.B7.B$9.B.B2$2.B15.B$.B.B5.B.B5.B.B$2.B7.B7.B
5$4.B11.B$5.2BA5.A2B$7.A5.A6$6.2B5.2B$.B$B.B$.B3$.B4.2B5.2B$B.B$.B4$
13.2B6$13.2B$8.B$7.B.B$8.B9.B.B$19.B$19.B$8.B4.2B3.B.B$7.B.B$8.B4$17.
B$19.AB$18.BAB$16.2B.BA8$19.B!

Replicator-based spaceships, 24c/90, 8c/72, 16c/108:

Code: Select all

x = 678, y = 424, rule = SoManyShips2
184.B.B$184.B2$175.2A$174.4A2$174.4B2$174.4A$175.2A$202.B.B$175.2A25.
B$174.4A2$174.4B2$174.4A$175.2A3$220.B.B$220.B6$175.2A$174.4A2$174.4B
60.B.B$238.B$174.4A$175.2A7$256.B.B$256.B2$175.2A$174.4A2$174.4B2$
174.4A$175.2A$274.B.B$175.2A97.B$174.4A2$174.4B2$174.4A$175.2A3$292.B
.B$292.B9$310.B.B$310.B9$328.B.B$328.B9$346.B.B$175.2A169.B$174.4A$
660.3A8.2A$174.4B484.A7.4A$661.B7.A4.A$174.4A492.4A$175.2A494.2A$505.
2A$504.2A$364.B.B139.A$364.B306.2B$670.A2.A2$633.3A34.A2.A$373.3A2.4A
253.A35.2B$375.A2.A2.A252.B$175.2A197.B3.4A$174.4A$532.2A137.2A$174.
4B302.4A47.2A137.4A$480.A2.A49.A135.A4.A$174.4A201.2B99.4A186.4A$175.
2A494.2A$378.B2.B$355.3A248.3A$357.A21.2B227.A$356.B124.2B124.B2$480.
B2.B$379.2B178.2A$481.2B75.2A$378.B2.B178.A2$379.2B$337.3A141.2B$339.
A239.3A$338.B141.B2.B97.A$580.B$B.B375.4A99.2B$.B376.A2.A$B.B172.2A
201.4A204.2A$A.A171.4A407.2A$.A479.2B104.A$174.4B$319.3A158.B2.B$174.
4A143.A$175.2A143.B160.2B69.3A$554.A$2.2A549.B$2.2A$.4B$AB2.BA474.4A
129.2A$.4B475.A2.A128.2A$2.2A476.4A130.A$2.2A297.3A$303.A$302.B$525.
3A$527.A$526.B3$378.4A258.2A$378.A2.A257.2A$283.3A92.4A259.A$285.A$
284.B2$498.3A$379.2B119.A$499.B$24.B.B351.B2.B$23.BA.AB$379.2B286.2A$
23.5B237.3A398.2A$25.A241.A400.A$25.A240.B$379.2B2$378.B2.B96.4A$175.
2A301.4A$174.4A201.2B98.2B$24.4B450.A2BA$25.2BA.B144.4B299.B4.B$24.3B
.A218.3A228.A2BA$26.2B146.4A71.A229.2B$26.2B147.2A71.B129.4A96.4A$
378.A2.A96.4A$25.B2.B349.4A2$26.2B4$229.3A441.2A$25.4A202.A440.4A$25.
A2.A201.B$25.4A644.2B$673.2B$671.2A2.2A$673.2B$673.2B$378.4A$378.A2.A
290.4A$211.3A164.4A291.2A$213.A$212.B4$378.4A291.2A$378.A2.A290.4A$
378.4A$673.2B$3.A189.3A477.2B$2.A.A190.A475.2A2.2A$2.ABA3B186.B478.2B
$2.A3B.A665.2B$2.A.A.2B$6.B170.A494.4A$175.6B492.2A$5.A170.B2.2B$176.
B2A$177.AB8$3.4A$3.A2.A$4.2B$3.4B371.4A$4.2B372.A2.A$3.A2.A371.4A$3.
4A2$479.B.B$172.4A$172.B2.B203.2B$171.2A2B2A$172.B2.B202.B2.B$172.4A
306.AB$379.2B99.3A.A$480.B3.B$479.B2.A189.2B$172.4A495.AB.B$172.B2.B
495.B2.B$171.2A2B2A201.4A95.B196.B$24.A147.B2.B202.A2.A$172.4A202.4A
2$24.B.B$25.A2$477.2A195.4A$378.4A94.4A194.A2.A$378.A2.A293.2B$378.4A
94.4B194.4B$675.2B$476.4A194.A2.A$477.2A195.4A$172.4A$172.B2.B301.2A
195.4A$171.2A2B2A201.4A94.4A194.A2.A$172.B2.B202.A2.A293.2B$172.4A
202.4A94.4B194.4B$675.2B$476.4A194.A2.A$477.2A195.4A$172.4A$172.B2.B$
171.2A2B2A$172.B2.B$172.4A$477.B198.B$477.B198.B4$4.2B372.4A$4.B373.A
2.A$378.4A$4.2A$3.3A$4.B$4.B167.4A$172.B2.B$171.2A2B2A201.4A$172.B2.B
202.A2.A$172.4A202.4A4$172.4A$172.B2.B$171.2A2B2A201.4A$172.B2.B202.A
2.A$172.4A202.4A4$172.4A$172.B2.B$171.2A2B2A201.4A$172.B2.B202.A2.A$
172.4A202.4A12$172.4A$172.B2.B$171.2A2B2A$172.B2.B$172.4A204.B$380.B
11$172.4A$172.B2.B$171.2A2B2A$172.B2.B$172.4A4$172.4A$172.B2.B$171.2A
2B2A$172.B2.B$172.4A4$172.4A$172.B2.B$171.2A2B2A$172.B2.B$172.4A20$
172.4A$172.B2.B$171.2A2B2A$172.B2.B$172.4A4$172.4A$172.B2.B$171.2A2B
2A$172.B2.B$172.4A28$172.4A$172.B2.B$171.2A2B2A$172.B2.B$172.4A11$
173.B$173.B!

6c/224:

Code: Select all

x = 331, y = 326, rule = SoManyShips2
310.3B$302.B.B4.2B.2B$301.BA.AB3.BABAB2$301.BA.AB3$301.BA.AB2$301.BA.
AB$302.B.B$292.B$291.B.B3$291.B.B$292.B$272.B.B$273.B$273.B$272.B.B$
279.B2$279.2B9$291.3A$290.2B.2B$292.A7$309.BABAB$309.2B.2B$310.3B4$
319.B.B$318.A3.A$317.B.B.B.B2$274.B35.B.B7.B$311.B8.B$273.B.B34.B.B7.
A$272.B3.B$272.BA.AB43.A$274.B35.B.B$249.B24.B36.B$310.B.B$249.2B$
274.B$284.B$283.B.B29.2A$283.B.B27.2A3B$284.B27.A2.A.B$313.A.AB2A$
311.2B2.A2.A$311.B4$282.B9.A$282.AB6.2B.2B$291.3A9$264.B64.B$263.B.B
62.B.B2$264.B64.B$320.A2$320.A$320.B$320.B$274.B$264.B52.B.B.B.B5.B$
318.A3.A$263.B.B8.B44.B.B6.B.B$264.B9.B54.B$272.BA.AB$272.B3.B$273.B.
B2$274.B13$263.ABA62.ABA$264.A64.A5$193.B2$193.2B11$271.B.B45.B.B$
272.B47.B$272.B47.B$271.B.B45.B.B6$264.A64.A$263.ABA62.ABA$279.ABA29.
ABA$271.B.B6.A31.A6.B.B$272.B47.B$272.B47.B$271.B.B45.B.B15$2.B284.B.
B13.B.B$288.B15.B$.B.B284.B15.B$B3.B282.B.B13.B.B$BA.AB$2.B$2.B$288.A
15.A$286.5A11.5A$2.B277.A5.A3BA11.A3BA5.A$279.ABA4.5B11.5B4.ABA$287.
3B13.3B$287.ABA13.ABA3$287.ABA13.ABA$287.3B13.3B$286.5B11.5B$286.A3BA
11.A3BA$137.B148.5A11.5A$288.A15.A$137.2B3$287.B.B13.B.B$288.B6.ABA6.
B$288.B7.A7.B$287.B.B13.B.B6$10.B.B$9.5B22.BA$8.ABA.ABA21.3A$9.BA.AB
22.BA$9.2B.2B282.A$295.ABA2$2.B6.2B.2B60.2A$9.BA.AB58.B2.A$8.ABA.ABA
59.2A$2.B6.5B$2.B7.B.B$BA.AB$B3.B106.A$.B.B106.A2.A$10.A.A98.A$2.B
293.B$8.A.A.A.A280.B.B$296.B$11.B136.BA$11.B136.3A$10.ABA135.BA146.B$
10.A.A282.B.B$11.B284.B2$186.2A106.2A.2A$184.B2.A106.A3BA$186.2A106.B
.A.B$294.A3.A$294.2B.2B$294.A3.A$223.A71.A.A$222.A2.A69.A.A$223.A70.A
3.A$294.2B.2B$294.A3.A$294.B.A.B$260.BA32.A3BA$260.3A31.2A.2A$260.BA$
296.B$295.B.B$296.B3$296.B$295.B.B$296.B$81.B2$81.2B4$11.B$10.A.A$10.
ABA$11.B$11.B2$8.A.A.A.A2$10.A.A8$11.B$10.B.B$10.B.B$11.B9$11.B$10.B.
B$10.B.B$11.B18$10.ABA$11.A6$25.B2$25.2B17$11.A$10.ABA!

Oscillators
P5, P9, P10, P108:

Code: Select all

x = 72, y = 44, rule = SoManyShips2
69.B.B$69.B.B$70.B$70.B$69.B.B$69.B.B7$69.B.B$69.B.B$32.A37.B$3.2A10.
B15.A2B36.B$4.2A9.B16.AB35.B.B$3.A.2A6.A3.B15.A35.B.B$4.A.A7.A.B2.4B
9.AB$2.B10.A3.B$A14.B$2A13.B21$70.A$69.ABA!

The p108 has the same spark as the p104 OMOS, so it is also gunable:

Code: Select all

x = 17, y = 46, rule = SoManyShips2
ABA$BAB$11.B.B$11.B.B$10.A3.A7$10.A3.A$11.B.B$11.B.B11$16.B$14.2B2$.B
$B.B3$B.B$.B7$.B$B.B3$B.B$.B10.A$11.ABA!

P44 from D4_+2:

Code: Select all

x = 5, y = 20, rule = SoManyShips2
A3.A$A3.A$A3.A$2.B2$2.B$2.B2$2.B3$2.B2$2.B$2.B2$2.B$A3.A$A3.A$A3.A!

EDIT: Forgot to mention a new OMOS, a p356 made up of a 2c/18d and a c/5d:

Code: Select all

x = 8, y = 8, rule = SoManyShips2
3A$A$A.A3$7.A$6.2A$5.3A!

Other discoveries
3c/7 p133 wickstretcher:

Code: Select all

x = 9, y = 21, rule = SoManyShips2
2.2A$.4A$A4.A$.4A$.4A12$7.A$6.ABA2$7.B$7.B!

hotcrystal0 · Post by **hotcrystal0** » March 15th, 2024, 5:00 pm

hotcrystal0 wrote: ↑
February 1st, 2024, 6:09 pm
This is Grounded Life, but with a little more Life physics:
Code: Select all
x = 92, y = 47, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100

Useless P56 teardrop hassler:

Code: Select all

x = 41, y = 41, rule = R2,C2,S18-35,B27-35,45,NW00010001000109090901000900090001090909010001000100
16b2o9b2o$17bo9bo$16bo11bo$16b2o9b2o$20b2ob2o$14b3obo7bob3o$13bo2b2o4b
o4b2o2bo$13b2o4b7o4b2o$19bobobobo$6b2o13bobo$5bobo9b3o5b3o$5bo10bobob
o3bobobo$ob2ob2o4b2o3b2o2b5o2b2o$2ob2o5bobo20b2o$5bo4bo22bobo$5bo2bo3b
o22bo$5b2obobo17b2o4b2ob2obo$5bo4bo17bobo5b2ob2o$4b3o4bo2bo15bo4bo$5b
o4bo17bo3bo2bo$5b2obobo10b2o7bobob2o$5bo2bo3bo7bob2o6bo4bo$5bo4bo9bo2b
o2bo2bo4b3o$2ob2o5bobo8b2o7bo4bo$ob2ob2o4b2o17bobob2o$5bo22bo3bo2bo$5b
obo22bo4bo$6b2o20bobo5b2ob2o$12b2o2b5o2b2o3b2o4b2ob2obo$12bobobo3bobo
bo10bo$13b3o5b3o9bobo$17bobo13b2o$15bobobobo$9b2o4b7o4b2o$9bo2b2o4bo4b
2o2bo$10b3obo7bob3o$16b2ob2o$12b2o9b2o$12bo11bo$13bo9bo$12b2o9b2o!

b-engine · Post by **b-engine** » March 16th, 2024, 12:57 am

180° reflector, found in soups:

Code: Select all

x = 6, y = 20, rule = B2e3aikr/S23
b2o$b2o2$b2ob2o$bobobo5$b3o$bobo5$obobo$2ob2o2$3b2o$3b2o!

iddi01 · Post by **iddi01** » March 16th, 2024, 2:34 am

FWKnightship wrote: ↑
March 15th, 2024, 12:28 am
Some discoveries in my SoManyShips2 rule:

I'd suggest you create a thread for SoManyShips2, since it's popular (9 likes on original post, and 5 on this post, and someone even labeled it as a favorite), and you're continuously discovering stuff in it.

rabbit · Post by **rabbit** » March 18th, 2024, 8:50 pm

This creates a really strange fractal pattern, like a sort of flattened sierpinski triangle:

Code: Select all

x = 3, y = 4, rule = B35jn/S234t
2o$b2o$2o$o!

TYCF · Post by **TYCF** » March 19th, 2024, 4:36 am

rabbit wrote: ↑
March 18th, 2024, 8:50 pm
This creates a really strange fractal pattern, like a sort of flattened sierpinski triangle:
Code: Select all
x = 3, y = 4, rule = B35jn/S234t
2o$b2o$2o$o!

Puffer.

Code: Select all

x = 3, y = 16, rule = B35jn/S234t
o$2o$b2o$2o9$2o$b2o$2o$o!

b-engine · Post by **b-engine** » March 19th, 2024, 8:43 am

Code: Select all

x = 45, y = 29, rule = IgnoreLife
35.2B$35.2B2$39.2B$39.2B5$32.2B$32.2B4$43.2B$43.2B3$36.A$3.B5.3A2.3B18.
2A$3.B6.A4.B10.2B6.2A$3.B21.B2AB6.2A$3A22.B2AB$26.2B$9.3B2.3A$10.B4.A
2$30.2B5.2B$30.2B5.2B!

@RULE IgnoreLife
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a = {0,1,2}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var c = {0,1}
var c1 = c
var c2 = c
var c3 = c
var c4 = c
var c5 = c
0,1,1,1,2,2,2,0,0,0
0,1,1,1,b,b1,b2,b3,b4,1
1,1,1,b,b1,b2,b3,b4,b5,1
1,1,1,1,b,b1,b2,b3,b4,1
0,2,2,2,c,c1,c2,c3,c4,2
2,2,2,c,c1,c2,c3,c4,c5,2
2,2,2,2,c,c1,c2,c3,c4,2
a,a1,a2,a3,a4,a5,a6,a7,a8,0

Mathemagician314 · Post by **Mathemagician314** » March 20th, 2024, 7:25 am

I don't know why, but this replicator is really satisfying to watch, at least to me:

Code: Select all

x = 3, y = 3, rule = B2k3-ckr4ety5i6n7e/S2i3-r4-iknt5-ejny6i7e8
3o$b2o$2bo!
[[ ZOOM 2.5 ]]

tommyaweosme · Post by **tommyaweosme** » March 21st, 2024, 7:40 pm

a highway "reflector" in langton's ants

Code: Select all

x = 14, y = 13, rule = Langtons-Ant
7.3A$6.A2.3A$5.3A3.A$4.A2.3A2.A$3.5A.A2.2A$3.3A2.A.A.A$4.A.3A.2A$5.I3A
.A$6.4A$7.2A3$A!

next i will try to find one for life without death

b-engine · Post by **b-engine** » March 22nd, 2024, 3:25 am

8c/88:

Code: Select all

x = 50, y = 41, rule = B34n/S23-a4i
14b2o$11bo4bo$11bo4bo$10bo4bo$10bo$11b3o$12bo2$18b3o$18bobo$17b2o2bo2$
22bo$20b3o4$20b3o$19bo3bo$23bo$22b2o$19b3o18bo$b3o37bo$bobo31b4o2bo$2o
2bo34b3o5b3o$37bo$5bo29b2o$3b3o4$3b3o$2bo3bo$6bo$5b2o$2b3o18bo$24bo4b
3o$18b4o2bo$22b3o$20bo$18b2o!

EDIT:

Code: Select all

x = 35, y = 32, rule = B34n/S23-a4i
10b3o$10bo2bo$10bo$11bo$9bobo$8bo2bo$8bo2bo11$b3o$bobo10b3o$2o2bo9bo2b
o3b2o$13bo3bo3bo2bo$5bo7bo3bo3bo3b2o$3b3o7bo2bo9bo$24b3o$24bo$32b2o$3b
3o25bo2bo$2bo3bo27bo$6bo22bo$5b2o21b2o$2b3o24bo2b2o$30b2o!

Code: Select all

x = 14, y = 14, rule = B34n/S23-a4i
2b3o$bo2bo$bo2bo2$2o$o4$12b2o$9b2obo$8bo$8bo$8b3o!

EDIT 2:

Code: Select all

x = 37, y = 37, rule = B34n/S23-a4i
23b2o$20b2obo$19bo$19bo$19b3o7$35b2o$32b2obo$31bo$31bo$31b3o4$2b3o$bo
2bo$bo2bo2$2o$o7$13b3o$12bo2bo$12bo2bo2$11b2o$11bo!

Mathemagician314 · Post by **Mathemagician314** » March 22nd, 2024, 6:57 am

Sparky p174:

Code: Select all

x = 10, y = 10, rule = 23-a4ar/2-a35/5
5.CA$4.D.ABA$5.ACDB$5.2AC2A$3A3.2A.C$ABC5.D$.AC$.A3CA$.3ABA$4.2A!

b-engine · Post by **b-engine** » March 22nd, 2024, 7:08 am

Mathemagician314 wrote: ↑
March 22nd, 2024, 6:57 am
Sparky p174:
Code: Select all

Rare 4c/8:

Code: Select all

x = 7, y = 6, rule = 23-a4ar/2-a35/5
3.A$.2AB2A$A2BDBA$ABD2ADC$2B.C2.C$.CD!

The p174 is the most common object.

EDIT:
P306 and p166 glider gun:

Code: Select all

x = 109, y = 49, rule = B34aknt5r6i7/S23-a4i8
17b2o$16bo2bo58b2o$16bo2bo57bo2bo$16bo2bo57bo2bo$17b2o58bo2bo$78b2o11$
b3o$o3bo57b3o$o3bo56bo3bo$b3o57bo3bo$62b3o7$43b3o$42bo3bo$42bo3bo58b3o
$43b3o58bo3bo$104bo3bo$105b3o10$28b2o$27bo2bo$27bo2bo59b2o$27bo2bo58b
o2bo$28b2o59bo2bo$89bo2bo$90b2o!

tommyaweosme · Post by **tommyaweosme** » March 22nd, 2024, 4:30 pm

highway reflector for life without death

Code: Select all

x = 28, y = 22, rule = B3/S012345678History
13.15F$27.F$27.F$27.F$27.F$27.F$27.F$27.F$27.F$27.F$27.F$27.F$27.F$13.
A.A.A.A.A.A.A.F$11.15A.F$11.3A.3A.3A.3A.F$A9.16A.F$10.16A.F$11.A.3A.3A
.3A.A.F$13.13A.F$15.A.A.A.A.A.A.F$27.F!

confocaloid · Post by **confocaloid** » March 22nd, 2024, 5:45 pm

tommyaweosme wrote: ↑
March 22nd, 2024, 4:30 pm
highway reflector for life without death

After reading 'highway reflector' I thought it was a highway robber device that works as a 90-degree glider reflector:

Code: Select all

x = 50, y = 66, rule = StateInvestigator
44.A$43.A$43.3A8$33.A$32.A$32.3A21$16.E10$21.C2$6.C2$33.A$31.3A$.O29.
A$31.A$41.E2$C3$10.C$34.E8$49.E!

Won't happen in a rule without any spaceships.

CasperWen8805181 · Post by **CasperWen8805181** » March 23rd, 2024, 2:10 pm

Uhh... How many speeds are in this rule?

Code: Select all

x = 500, y = 500, rule = 0/23-cik/6
4.A2.A.3A2.5A.2A.A.3A.A.6A.A.5A.A7.A3.2A4.2A.A.3A.A2.2A2.A3.A.A3.A.A2.
2A.A7.A5.A5.A.A.2A.2A.A2.4A.A.A2.A2.A3.A.A.2A.A2.A2.2A2.A.A3.A.2A.A.A
3.A.2A.2A2.A2.3A.A.A3.A.A.A6.2A10.2A2.A.A4.4A.A3.A.3A.3A2.4A.A.2A4.3A
.3A.A7.2A3.A2.2A2.2A.2A.2A.2A.A2.A.2A.3A2.4A2.A2.2A.3A.A2.A2.5A.2A.3A
2.3A.2A2.A.2A2.3A2.A2.2A6.4A.A.A.2A2.A2.A.A.2A7.4A2.A.3A3.4A4.A.A5.4A
5.A6.A.A2.A2.3A2.4A2.A3.A3.3A3.2A$.A.2A4.A6.3A.A2.A.A4.2A2.2A.2A8.3A2.
A2.A2.2A2.8A2.A.A.A4.3A.5A2.A5.A3.A2.A.2A2.A2.3A3.A.A2.3A.3A.6A.A2.4A
.A.2A.A.3A.2A3.2A.3A5.A.A.2A7.A.3A.2A.2A.5A7.A2.A3.2A.2A.2A.A2.3A.A2.
2A2.A8.2A.A.A4.A.A.2A.3A3.A2.2A2.2A.A.A2.2A2.3A.A3.A3.3A2.A.A.A2.2A.A
.A6.8A2.2A.A3.2A2.5A4.2A.A2.3A2.A.A.2A.A.2A3.2A4.A.A2.A2.3A.2A2.A.A.A
.A2.6A.A3.2A.2A2.3A2.2A3.3A3.3A2.6A2.A2.2A2.2A.A.A3.5A.A.2A.A.3A$A3.4A
6.2A5.A2.5A4.5A2.2A3.A5.7A.3A.A2.2A2.8A2.2A4.3A3.A.4A4.A5.5A4.A2.A.A2.
A.3A7.3A.2A.3A.A3.6A2.A2.3A.2A.A.A.A.3A.A2.3A.A.A.2A.A2.A2.2A.A4.10A.
A.A.A3.2A3.A2.A3.A.A.A2.2A.3A.A2.A3.A.4A.4A4.3A2.A.2A.A.3A.A2.2A.A.A.
2A.A.A5.3A.A.A2.3A.A.2A2.A.A.A.A.A2.A.2A.2A2.A2.A.4A.A.3A.7A3.A.2A3.2A
5.A.5A.A3.3A2.4A.2A.A4.2A2.A.A.3A.A.2A.A2.A3.3A.2A.A.4A.A2.A8.A.A2.2A
3.A.A.A2.A.A.A.A.A2.A$5.A.2A2.A.A3.A.4A.A.A4.3A3.6A3.3A2.A.A3.2A3.A2.
3A.2A7.2A3.2A.3A.A4.A4.8A.A.A3.5A.2A2.A.2A6.5A2.2A4.2A.7A2.A.2A.A5.3A
3.5A4.2A.4A.A3.A.6A.A3.A.A.2A2.A.4A2.A2.A.3A2.A3.3A5.A2.2A6.3A.A.2A.2A
2.A.2A2.A.3A6.2A.3A.A2.2A.3A.A4.A.3A3.A2.A.7A.A3.2A.A.3A.A3.4A.A.A2.2A
.2A.A.A3.4A2.A.2A.3A4.A6.A2.4A.A.A.A5.4A2.2A.A.A.2A3.8A2.A3.A.2A3.A2.
2A.2A5.A.A6.A.A2.5A.A.2A.A3.A.A$2A.A.A.A.2A3.3A.2A.6A2.A.2A.A.A2.A2.A
.A4.4A3.2A.A2.2A.A.3A.3A2.A2.A.2A2.2A.A.2A.A3.A.A.9A.2A.3A5.A.2A.2A3.
2A2.A2.3A4.2A3.A2.A.2A2.2A2.A3.A2.2A3.2A.A7.4A.2A.4A2.A.A.A2.A.6A2.A.
3A3.2A.A.2A3.A2.2A2.A3.A3.A2.2A.A3.A.A2.A.3A2.5A2.A5.A.A3.2A.A.A3.A.2A
2.A.A.A2.2A2.2A4.2A4.2A.2A2.3A2.2A.2A3.2A.6A.3A.A2.9A3.2A2.A.2A3.3A.A
2.2A2.A2.2A2.3A3.2A.A.A.A8.7A3.A.A2.A3.3A4.3A4.A.3A.2A3.A3.2A2.5A6.A.
A.A$2A2.A2.A.A4.A.2A2.A2.4A4.A2.A.A2.2A.2A.4A.4A.A.5A6.A.A3.A.A8.2A.2A
3.A2.7A.4A.A3.A.A5.2A2.2A.A.2A.4A4.2A4.2A.A.6A2.A.A2.A.5A5.A2.A2.2A.3A
.4A3.A.A4.A4.2A.A3.4A2.6A3.A.4A.4A.3A.A.3A.3A.2A.2A3.3A.3A.A2.2A2.2A2.
A2.2A2.A2.5A.A2.A2.4A.A.A2.A2.A2.A.2A.A3.2A8.8A.2A4.A3.7A2.A2.2A6.5A.
5A.A.A.3A2.2A.2A.A.A2.A.3A3.2A2.2A4.A.A.A.2A2.A8.A.2A9.A2.8A.4A.A.A.2A
.2A2.A.A.2A.A$5A.2A.2A.A.6A.3A3.A2.A2.5A2.2A3.A2.A6.2A4.A.A.2A.3A3.2A
2.A2.A2.4A3.A.4A.2A2.3A2.A2.A3.A.2A3.A.2A.A.A2.2A2.A.A2.A.A.A3.A3.A6.
3A.A3.2A5.A.3A.2A.A2.3A5.A.A.2A.A.2A.A2.2A.3A2.2A.8A3.A7.2A3.2A.2A.4A
.A3.3A4.A.A4.2A.2A.4A3.2A.A.A.A2.2A.2A.2A.2A3.4A2.4A.2A.A.2A2.2A2.3A2.
3A.5A.2A2.A7.3A3.2A4.4A.A2.2A.2A.3A2.A2.6A.A4.3A2.A.A.2A5.A.A.2A.A.A3.
4A.2A.2A2.A2.3A.2A4.3A3.3A2.3A2.A.A3.A.A2.A.A3.3A$A.5A.A5.2A4.3A.4A.2A
.A.A4.A3.7A2.A3.A.2A.A2.2A.2A2.2A2.3A.2A4.A11.5A2.2A.A.3A3.A3.A5.2A.A
.2A.A.9A.A.2A.A.2A2.A.2A.A.A3.4A6.A3.A.2A2.A2.2A.A2.A.A2.A.A.A.A.A2.A
2.3A.A2.A3.2A3.A.A.A.A6.A3.3A.4A.2A2.2A4.A.A4.2A6.3A2.3A.A.A.2A3.A.2A
.2A.A.7A2.A.3A2.A3.3A.A.A.A.A.A.2A2.A.4A2.2A5.A3.A.2A.A.A.A.A4.2A2.A.
A7.A.2A.2A.2A4.A.A2.A.2A.4A2.2A3.2A2.2A2.2A2.A3.A6.A.A.A.A5.A2.2A.2A2.
2A.3A.3A.2A.2A.6A$3A.2A.A3.A.4A3.3A3.3A6.2A3.3A.4A.3A3.A2.5A.2A.4A5.A
2.3A2.A.A.A.3A.4A2.A2.A.A3.A6.4A6.7A2.3A.2A.3A2.A.4A.A.A4.A.3A5.2A2.A
3.5A2.6A.A2.A.2A4.A3.3A.3A.2A2.2A.A2.2A3.3A.2A.A.A.3A.A.A.A2.2A2.3A.3A
2.2A.3A.5A2.A.3A2.A.A3.3A3.A.2A4.A3.4A.3A2.A2.4A.2A5.5A.2A2.7A4.A4.A.
A.A.4A5.A.4A2.2A5.A3.3A.A4.2A.3A2.3A2.A3.3A.A.A6.3A.4A3.2A2.3A.A3.A4.
2A2.A.A.3A2.A.A4.8A4.A2.A$.3A.4A.A.2A2.2A.A.A.4A2.2A.2A3.3A.A3.2A.A2.
2A4.A.2A.A2.3A.A2.2A4.4A.A.A3.A2.A5.3A.2A.A2.2A4.3A2.A.2A.A.A.A.A5.2A
2.6A.3A5.A.A5.2A.5A.3A.A.4A3.2A.A2.A.A.A.2A3.2A3.A.2A2.2A3.2A2.2A.A2.
4A3.2A2.A2.A4.A3.2A2.A2.A3.A.A2.3A9.3A3.4A5.A2.A.2A8.A5.2A.A2.8A.4A4.
A.A.A6.A.A.A.A.A.A2.2A.4A2.2A.A.2A.2A2.A.3A3.2A3.A3.A.2A.A2.A.A4.6A.A
5.A.10A2.2A.3A3.A2.2A.A.A2.A2.5A5.A.A4.A.5A.2A4.4A$2A5.A2.A.A2.A6.A.2A
2.A2.2A3.A.A2.A.3A.A.A.A3.6A2.A3.A.A3.2A.4A2.A.2A.2A.6A.2A4.2A.A.2A.3A
2.2A.2A4.3A2.A2.A.4A6.A.A3.5A.A2.3A2.A.3A4.A4.A.A2.A.A.3A.2A.A.4A2.A.
A2.A2.2A3.A.A6.A.A2.4A5.6A3.6A2.A.5A.A.A3.3A3.A3.3A.A.2A4.2A.A.3A.5A2.
2A2.2A.3A3.2A.A.6A.A.2A3.A.A5.A4.2A.A4.A2.A.3A2.6A3.A.A.A2.2A2.8A.2A2.
2A7.2A2.3A4.3A3.4A.A2.2A.A.6A3.5A.A.3A.A.A2.3A2.2A2.3A.5A3.3A.5A$.2A4.
A.2A5.2A3.A.A2.2A3.2A.2A.A.2A.A3.A3.2A3.2A.A.A.A2.3A3.A2.3A.4A2.A3.A2.
2A2.2A2.A.2A.A.2A3.2A3.A.2A4.A2.2A2.A2.A.A5.4A.A.5A.A.A.A2.4A4.A5.A4.
2A.2A2.2A.A11.3A.8A8.A4.3A.A2.A.A2.2A.A.3A2.3A3.3A.7A.2A.A.2A.2A.A2.3A
.A2.4A.3A.2A2.A3.2A3.A2.4A2.4A3.A2.3A.3A.3A2.3A5.2A.A.2A.2A.3A2.2A.3A
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2.A3.5A5.A3.4A!

Possible engineering rule and generations rule with tons of distinct speeds

Fastest speed in soup I got was 8c/10 (non c speed)
Found this thing in a neighboring more explosive rule:

Code: Select all

x = 15, y = 19, rule = 0/23-cik/5
B2ABCD3.DCB2AB$A2BCD5.DC2BA$ABCD3.A3.DCBA$BCD2.2AC2A2.DCB$C2.ABCDCDCB
A2.C$2.ABCD3.DCBA$.ABCD.ABA.DCBA$ABCD.ABDBA.DCBA$.BCDABDADBADCB$.BD2.
B3.B2.DB$.BCDABDADBADCB$ABCD.ABDBA.DCBA$.ABCD.ABA.DCBA$2.ABCD3.DCBA$C
2.ABCDCDCBA2.C$BCD2.2AC2A2.DCB$ABCD3.A3.DCBA$A2BCD5.DC2BA$B2ABCD3.DCB
2AB!

Super hard to destroy, even by natural exploding soups.

LaundryPizza03 · Post by **LaundryPizza03** » March 23rd, 2024, 11:30 pm

Almost-whitespace spacefiller that is stable, differing from the original in having more complex behavior at the edges.

Code: Select all

x = 5, y = 5, rule = B2kn3-jn4ajkqwy5aky6ci78/S123-r4-ck5cenqy678
2bo$b3o$5o$b3o$2bo!

This the complement of a rule with a 27c/192o discovered by NimbleRogue on January 16.

Code: Select all

x = 67, y = 59, rule = B3aijkr4ek5r8/S2-ci3-aky4ceinrtz5jn6-kn78
56b2o$55bobo2$55bobo4b3o$32b2ob2o5bo13b2o4bob2o$33b3o6b3o20b2o$34bo10b
o17b3o$44bobo12b4obo$29bo4b2o8bo2bo11bo2b2o$27b8ob2o7b2obo11b3o$27b2o
8bo10bo12bo$31b2o2b3o10b2o$27bo2bo4bo$26b3ob2o$25b2o3bo$26b2o2bo$29bo$
29b2o$21bo$20b3o13bo$3b3o15bob2o7bo$3bobo18b2o8bobobo$3bobo15bob2o$3o
17b4o11bobo$o6b2o11b3o9b2obo$5o2b2o24b3o$3b2o6b2ob2o18bo22b3o$11b3o42b
o3bo$12bo13b3o27bobobo$6b2o2bo15bo2bo31b2o$6bo2b2o14bo3bo27bob2o2bo$7b
o2bo14b2o36bo$7b3o18b3o30bobo$61b2o$29bobo19bo$27bo3bo17b4o$27b2o2bo
17bo$30bo19b3o$45bo2bo5b3o$56bo2$54b3o5$63bo$59b2o$59b2o2bobo2$62bobo$
59b2obo$60b3o$61bo$52bobo$53b2o$50bo2bo$50bo2bo$50b3o!

Yoel · Post by **Yoel** » March 25th, 2024, 12:08 am

Code: Select all

x = 64, y = 40, rule = B34it/S23-a4i
8$9b3o$8bo3bo$8bo2b2o$11bo$8bo$8bo$8b2o$8bo2bo$8bo3bo$8bo$10bo8b3o$19b
o2bo$18bo3bo$17bob2ob2o$18b2o2b2o$18bo$33b2o11bo$32bo13bo3bo$32bo17b2o
$24bo2bo4b4o6b2o7b2o$24b4o14bo2b2o3b2o$24bo2bo14bo2b2o$43b3o!

iddi01 · Post by **iddi01** » March 25th, 2024, 6:27 am

Sparky diagonal spaceship & knightship:

Code: Select all

x = 30, y = 12, rule = 23/2e35cn/3
4$3.A21.AB$2.3A18.AB.B$2.A20.A$23.ABA$24.2A!

4-cell sqrt growth, spaceship and wickstrecher in a longlife variant (longlife variants with S0 and S3i are interesting, i suggest you explore those):

Code: Select all

x = 39, y = 14, rule = B3-y4-ajkr5/S03i5
3$31bo$4bo26b2o$18bo$2b2ob2o10b3o11b2o2$3b3o25bobo2$31b3o!

Something i can't classify, posted by @otismo:

Code: Select all

x = 11, y = 13, rule = B35cj6ce7/S34-cry5-jnr6ci78
5$5bo$4b3o$5bo!
#C [[ STEP 32 ]]

Is this:
- a failed gun?
- a failed replicator?
- a sawtooth?
- log growth?
- sqrt growth?
- something else?
otismo described it in a very confusing way (as he did with all his discoveries), which is a shame, because these are great discoveries hidden beneath confusing descriptions.

ConwayLife.com

Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in 3-state Rules

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata