Arrow (B3-jkn4a/S1e2-a3ijnry4n)

[BlinkerSpawn]

Impressive! I think the T-to-2T in particular could be used to create another family of adjustable-period oscillators, by placing four of them in a loop and eating the second T so the mechanism acts as a Snark. Would that allow all oscillators periods greater than 40, or would it still be limited to a subset?

I don't see any restrictions; here's a nice p45 with four splitters at minimum spacing:

Code: Select all

x = 37, y = 37, rule = B3-jkn4a/S1e2-a3ijnry4n
17bo12b2o$16b2o8b2o$17bo12b2o3$obo15b2o$obo20bo$12bobobo6bo3b2o$7bo4bo
bobo$bo5bo$bo$18bo$17b2o9b2o$6b2o10bo$28b2o2$28b2o5bo$5bo18bo9b3o$5bo
5b3o9b3o5bo$3o9bo18bo$bo5b2o2$7b2o$18bo10b2o$7b2o9b2o$18bo$35bo$29bo5b
o$20bobobo4bo$8b2o3bo6bobobo$13bo20bobo$17b2o15bobo3$5b2o12bo$9b2o8b2o
$5b2o12bo!

[77topaz]

That means we have all oscillator periods ≥ 45, right? Then we only need a finite number of oscillator periods to prove omniperiodicity. I'd have to go through both Catagolue and this thread to find out exactly which ones, though.

In other news, here's a nicely weird pop-plot (from the "tether break" pattern mentioned earlier):

Code: Select all

x = 555, y = 536, rule = B3/S23
197b5ob5o7bo6b3o2bo3bob5o2b3o2b4o9b3o2b5obo3bo7b5ob5ob5obo3bob5ob4o8b
4o2b4o2b5o2b3o2bo3bo7b4o2bo5b5o$201bo5bo7bo7bo3b2o2bobo5bo3bobo3bo7bo
3bobo5bo2bo10bo3bo7bo3bo3bobo5bo3bo7bo3bobo3bobo5bo3bobo2bo8bo3bobo5bo
$200bo5bo8bo7bo3bobobobo5bo3bobo3bo11bobo5bobo11bo3bo7bo3bo3bobo5bo3bo
7bo3bobo3bobo5bo3bobobo9bo3bobo5bo$199bo5bo9bo7bo3bo2b2ob3o3b5ob4o11bo
3b3o2b2o12bo3b3o5bo3b5ob3o3b4o8b4o2b4o2b3o3b5ob2o10b4o2bo5b3o$198bo5bo
10bo7bo3bo3bobo5bo3bobo2bo10bo7bobobo11bo3bo7bo3bo3bobo5bo2bo8bo3bobo
2bo2bo5bo3bobobo9bo2bo2bo5bo$197bo5bo11bo7bo3bo3bobo5bo3bobo3bo8bo4bo
3bobo2bo10bo3bo7bo3bo3bobo5bo3bo7bo3bobo3bobo5bo3bobo2bo8bo3bobo5bo$
197b5ob5ob5ob5o2b3o2bo3bob5obo3bobo3bo7b5o2b3o2bo3bo9bo3b5o3bo3bo3bob
5obo3bo7b4o2bo3bob5obo3bobo3bo3bo3bo3bob5ob5o8$bo5bo3b5o4bo3b3o$2o4b2o
7bo3b2o2bo3bo$bo5bo6bo3bobo2bo2b2o$bo5bo5bo3bo2bo2bobobo9bo498bo$bo5bo
4bo4b5ob2o2bo9bo498b2o$bo5bo3bo8bo2bo3bo9bo497b2o$3o3b3o2bo8bo3b3o10bo
497b2o$37bo496b2o$37bo496bo$37bo495b2o$37bo494b2o$37bo494bo$37bo493b2o
$37bo493bo$37bo492b2o$37bo491b2o$37bo491b2o$37bo490b2o$37bo490bo$37bo
489b2o$37bo488b2o$37bo488b2o$37bo487b2o$37bo486b2o$37bo486b2o$37bo485b
2o$37bo485b2o$37bo484b2o$37bo484bo$37bo483b2o$37bo482b2o$37bo482b2o$
37bo481b2o$37bo481bo$37bo480b2o$37bo479b2o$37bo479b2o$37bo478b2o$37bo
478bo$37bo477b2o$37bo477bo$37bo476b2o$37bo475b2o$37bo475bo$37bo474b2o$
37bo473b2o$37bo473bo$37bo472b2o$37bo472b2o$37bo471b2o$37bo471bo$37bo
470b2o$37bo469b2o$37bo469bo$37bo468b2o$37bo467b2o$37bo467b2o$37bo466b
2o$37bo466b2o$37bo465b2o$37bo465bo$37bo464b2o$37bo463b2o$37bo463bo$37b
o462b2o$37bo462bo$37bo461b2o$37bo460b2o$37bo460bo$37bo459b2o$37bo459bo
$37bo458b2o$37bo249b2o206b2o$37bo249b2o206b2o$37bo249b5o202b2o$37bo
247b8o201bo$37bo246b11o198b2o$37bo246b15o193b2o$37bo245b19o190b2o$37bo
243bob23o185b2o$37bo243b26o183b2o$37bo242b29obo179b2o$37bo241b34o176b
2o$37bo241b36o174b2o$37bo239b41o170b2o$37bo239b45o166bo$37bo237b48obo
162b2o$37bo236b55o157b2o$37bo236b55obo155bo$37bo234b60o2bo150b2o$37bo
234b63o150bo$37bo232b69o145b2o$37bo232b72obo139b2o$37bo231b19ob55o139b
2o$37bo229b19obo4b56obo132b2o$37bo229b18o10b53obo132bo$37bo228b19o14b
53obo127b2o$37bo227b18o19bob50obo124b2o$37bo225b19o24b52o2bo119b2o$37b
o225b18o28b52obo116b2o$37bo224b18o34b51o114bo$37bo223b17o37bob50o111b
2o$37bo222b18o40b51o108b2o$37bo220b18o47bob47o105b2o$37bo220b17o50b48o
103b2o$37bo218b19o54bob44obo99b2o$37bo217b19o55bo2b46obo95b2o$37bo216b
19o62b48o92bo$37bo215b19o65bob45o90b2o$37bo214b19o72b44obo84b2o$37bo
213b19o74bob44o83bo$37bo212b18o80bob43o79b2o$37bo211b18o84b45o75b2o$
37bo210b18o88b44o73b2o$37bo209b17o93b42obo69b2o$37bo208b18o97b41o68b2o
$37bo206b19o101b39obo64b2o$37bo205b18o106bo2b36o63bo$37bo204b19o109bo
2b37o58b2o$37bo204b18o116b37o2bo51b2o$37bo202b19o121b36ob2o48bo$37bo
201b18o127b38o44b2o$37bo200b18o131b35o43b2o$37bo199b19o134b34obo39b2o$
37bo197b19o140b34o36b2o$37bo197b18o143bob32o34bo$37bo195b20o150b29obo
29b2o$37bo195b17obo154b29o28bo$37bo194b18o159b28o25b2o$37bo194b17o164b
2ob2ob20o22b2o$37bo191b19o172b22o19bo$37bo191b18o176b22o15b2o$37bo190b
18o182b19o13bo$37bo188b19o186b2ob15o10b2o$37bo187b19o194b14o6b2o$37bo
187b18o196b14o5b2o$37bo186b18o202b12ob2o$37bo184b19o208b9o$37bo184b17o
212b7o$37bo183b18o216b2o$37bo181b19o$37bo181b18o$37bo180b17o$37bo180b
16o$37bo179b15o$37bo178b15o$37bo177b15o$37bo177b15o$37bo177b13o$37bo
177b12o$37bo176b12o$37bo176b11o$37bo176b10o$37bo175b10o$37bo175b8o$37b
o175b7o$37bo175b6o$37bo174b6o$37bo174b6o$37bo174b4o$37bo173b5o$37bo
173b4o$37bo173b4o$37bo173b4o$37bo172b5o$37bo172b5o$37bo172b4o$37bo171b
5o$37bo171b5o$37bo171b4o$37bo171b4o$37bo170b5o$37bo170b4o$37bo170b4o$
37bo170b4o$37bo169b5o$37bo169b4o$37bo169b4o$37bo169b4o$37bo168b4o$37bo
168b4o$37bo167b5o$37bo167b4o$37bo167b4o$37bo167b4o$37bo166b5o$37bo166b
4o$37bo166b4o$37bo166b4o$37bo165b4o$37bo165b4o$37bo165b4o$37bo164b5o$
37bo164b4o$37bo164b4o$37bo164b4o$37bo163b4o$37bo163b4o$37bo163b4o$37bo
163b3o$37bo162b4o$37bo162b4o$37bo162b4o$37bo161b4o$37bo161b4o$37bo161b
4o$37bo161b3o$37bo160b4o$37bo160b4o$37bo160b3o$37bo159b4o$37bo159b4o$
37bo159b4o$37bo159b3o$37bo158b4o$37bo158b4o$37bo158b3o$37bo158b3o$37bo
157b4o$37bo157b3o$37bo156b4o$37bo156b4o$37bo156b4o$37bo156b3o$20b7o10b
o156b3o$23bo13bo155b4o$22bo14bo155b3o$21bo15bo155b3o$20b7o10bo155b3o$
37bo154b4o$21b5o11bo154b3o$20bo5bo10bo154b3o$20bo5bo10bo153b4o$20bo5bo
10bo153b3o$21b5o11bo153b3o$37bo152b4o$37bo152b4o$20bo5bo10bo152b3o$20b
7o10bo152b3o$20bo5bo10bo152b3o$37bo151b3o$37bo151b3o$20bo16bo151b3o$
20bo16bo150b3o$20b7o10bo150b3o$20bo16bo150b3o$20bo16bo149b4o$37bo149b
3o$21b6o10bo149b3o$20bo2bo13bo149b3o$20bo2bo13bo148b4o$20bo2bo13bo148b
3o$21b6o10bo148b3o$37bo148b3o$26bo10bo147b3o$26bo10bo147b3o$26bo10bo
147b3o$26bo10bo147b2o$20b7o10bo146b3o$37bo146b3o$20b6o11bo146b3o$26bo
10bo145b3o$26bo10bo145b3o$26bo10bo145b3o$20b6o11bo145b2o$37bo144b3o$
21b2o14bo144b3o$20bo2bo13bo144b3o$20bo2bo13bo143b3o$20bo2bo13bo143b3o$
20b7o10bo143b3o$37bo143b3o$21b5o11bo142b3o$20bo5bo10bo142b3o$20bo5bo
10bo142b3o$20bo5bo10bo142b2o$21b5o11bo141b3o$37bo141b3o$21b2o14bo141b
2o$20bo2bo13bo140b3o$20bo2bo13bo140b3o$20bo2bo13bo140b3o$20b7o10bo139b
3o$37bo139b3o$37bo139b3o$37bo139b3o$37bo139b2o$37bo138b3o$37bo138b3o$
37bo138b2o$37bo137b3o$37bo137b3o$37bo137b2o$37bo136b3o$37bo136b3o$37bo
136b3o$37bo136b2o$37bo135b3o$37bo135b3o$37bo135b3o$37bo135b2o$37bo134b
3o$37bo134b3o$37bo134b2o$37bo133b3o$37bo133b3o$37bo133b2o$37bo133b2o$
37bo132b3o$37bo132b3o$37bo132b2o$37bo132b2o$37bo131b3o$37bo131b2o$37bo
131b2o$37bo131b2o$37bo130b2o$37bo130b2o$37bo130b2o$37bo129b3o$37bo129b
2o$37bo129b2o$37bo128b3o$37bo128b2o$37bo128b2o$37bo128b2o$37bo128b2o$
37bo127b2o$37bo127b2o$37bo127b2o$37bo126b3o$37bo126b2o$37bo126b2o$37bo
125b3o$37bo125b2o$37bo125b2o$37bo125b2o$37bo124b2o$37bo124b2o$37bo124b
2o$37bo124b2o$37bo123b2o$37bo123b2o$37bo123b2o$37bo122b3o$37bo122b2o$
37bo122b2o$37bo122b2o$37bo121b2o$37bo121b2o$37bo121b2o$37bo121bo$37bo
120b2o$37bo120b2o$37bo120b2o$37bo120bo$37bo119b2o$37bo119b2o$37bo119bo
$37bo118b2o$37bo118b2o$37bo118b2o$37bo118bo$37bo117b2o$37bo117b2o$37bo
117bo$37bo117bo$37bo116b2o$37bo116b2o$37bo116bo$37bo115b2o$37bo115b2o$
37bo115bo$37bo115bo$37bo114b2o$37bo114bo$37bo114bo$37bo113b2o$37bo113b
2o$37bo113bo$37bo113bo$37bo112b2o$37bo112b2o$37bo112bo$37bo112bo$37bo
111b2o$37bo111bo$37bo111bo$37bo110b2o$37bo110b2o$37bo110bo$37bo110bo$
37bo109b2o$37bo109bo$37bo109bo$37bo108b2o$37bo108b2o$37bo108bo$37bo
107b2o$37bo106b3o$37bo105b2o$37bo104b2o$37bo103b3o$37bo103b2o$37bo102b
2o$37bo101b2o$37bo100b2o$37bo99b2o$37bo98b2o$37bo97b2o$37bo96b3o$37bo
96b2o$37bo95b2o$37bo94b2o$37bo93b2o$37bo92b2o$37bo91b3o$37bo91b2o$37bo
90b2o$37bo89b2o$37bo88b2o$37bo87b2o$37bo86b2o$37bo85b2o$37bo84b2o$37bo
83b3o$37bo82b2o$37bo82b2o$37bo81b2o$37bo80b2o$37bo79b2o$37bo78b2o$37bo
77b2o$37bo76b2o$37bo76b2o$37bo75b2o$37bo74b2o$37bo73b2o$37bo72b2o$37bo
71b2o$37bo70b2o$37bo69b2o$37bo68b3o$37bo67b2o$37bo66b2o$37bo65b3o$37bo
65b2o$37bo64b2o$37bo63b2o$37bo62b2o$37bo61b2o$37bo60b2o$37bo59b2o$37bo
59b2o$37bo57b3o$37bo57b2o$37bo56b2o$37bo55b2o$37bo54b2o$37bo53b2o$37bo
52b2o$37bo51b3o$37bo51b2o$37bo50b2o$37bo49b2o$37bo48b2o$37bo46b3o$37bo
46b2o$37bo45b2o$37bo44b2o$37bo43b3o$37bo41b4o$37bo38b6o$37bo37b5o$37bo
33b7o$37bo26bo5b6o$37bo25b3obob6o$37bo24b12o$37bo24b10o$37bo23b10o$37b
o23b9o$37bo22b7o$37bo21b5o$37bo19b5o$37bo19b4o$37bo19b4o$37bo17bob3o$
37bo14b8o$37bo10b2ob7o$37bo5b2o3b9o$37bo5b2o2b8obo$37bo5b10o$37bo5b9o$
37bo4b6obo$37bo3b3ob3o$37bo3b2o$37bo2b3o$37bo2b2o$37bob3o$19bo4b3o10bo
b2o$18b2o3bo3bo9b3o$19bo3bo3bo9b2o$19bo4b3o10b2o$19bo3bo3bo9b501o$19bo
3bo3bo$18b3o3b3o8$35b3o185b3o2b5obo3bob5ob4o3b3o2b5o2b3o3b3o2bo3bo10bo
34bo4b3o4bo4b3o3bo172bo4b3o3b3o3b3o3b3o3b3o$34bo3bo183bo3bobo5b2o2bobo
5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo22b2o3bo3bo2bobo2bo3bo3bo170b2o3bo
3bobo3bobo3bobo3bobo3bo$34bo2b2o183bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo
3bobobobo9bo4b4ob5o2b3o2b4o2b5o3bo3bo2b2obo3bobo2b2o3bo171bo7bobo2b2ob
o2b2obo2b2obo2b2o$34bobobo183bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo
2b2o9bo3bo7bo3bo3bobo3bo9bo3bobobo7bobobo3bo171bo6bo2bobobobobobobobob
obobobo$34b2o2bo183bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o
4bo3b5obo3bob5o3bo3b2o2bo7b2o2bo3bo171bo5bo3b2o2bob2o2bob2o2bob2o2bo$
34bo3bo183bo3bobo5bo3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3b
o9bo3bo3bo7bo3bo3bo171bo4bo4bo3bobo3bobo3bobo3bo$35b3o185b3o2b5obo3bob
5obo3bobo3bo3bo4b3o3b3o2bo3bo10bo2b4o5b2o2b4ob4o9b3o3b3o9b3o3bo171b3o
2b5o2b3o3b3o3b3o3b3o$312bo$312bo!

[AforAmpere]

We are missing p13-19, p20-43. That's a lot of periods.

EDIT:
So close to something interesting:

Code: Select all

x = 50, y = 17, rule = B3-jkn4a/S1e2-a3ijnry4n
$5bobo32bobo$5bobobobo24bobobobo$9bobo24bobo4$2o26bo18b2o$5b2o2b2o2b2o
13b2o3b2o2b2o2b2o$2o26bo18b2o4$9bobo24bobo$5bobobobo24bobobobo$5bobo
32bobo!

[Layz Boi]

Two Ts can move a honey comb.

Code: Select all

x = 0, y = 0, rule = B3-jkn4a/S1e2-a3ijnry4n
2.A17.2A19.A$A.A16.A2.A17.2A$2.A17.2A19.A$12$!

Here's a 90-degree T reflector/whatever it's called. I believe the lowest repeat time for it is 24.

Code: Select all

x = 0, y = 0, rule = B3-jkn4a/S1e2-a3ijnry4n
15.A.A$15.A.A3$16.A$16.A2$A11.A8.2A$2A10.2A$A11.A7.2A2$19.2A$12$!

Here's another 180-degree T reflector.

Code: Select all

x = 0, y = 0, rule = B3-jkn4a/S1e2-a3ijnry4n
A$2A$A10.A$11.A$10.A.A$8.A.A.A$8.A$12$
4.A13.A$4.2A12.2A$.A2.A2.A6.A3.A3.A$.A.A3.A6.A7.A$A.A3.A.A4.A.A5.A.A$A.A.A.A.A4.A.A.A.A.A.A$4.A12.A.A$!

A near miss 90-degree T reflectors.

Code: Select all

x = 0, y = 0, rule = B3-jkn4a/S1e2-a3ijnry4n
A18.2A$2A$A17.2A2$11.A2.A2.2A$10.A.A.A.A$10.A.A3.A12$!

[muzik]

Has anyone found adjustable speed spaceships yet?

[77topaz]

We are missing p13-19, p20-43. That's a lot of periods.

Not quite, p16, p20, p24, p28, p32, p36 and p40 are covered by the p16+4N shuttle family, while p23, p27, p31, p35, p39 and p43 are covered by the p23+4N shuttle family.

So, the missing periods are: 13, 14, 15, 17, 18, 19, 21, 22, 25, 26, 29, 30, 33, 34, 37, 38, 41 and 42 (a total of eighteen periods) - as of the time of your posting. Since then, Layz Boi posted a new reflector, which should reduce the set of missing periods to 13, 14, 15, 17, 18, 19, 21 and 22 - just eight periods.

EDIT: The 180-degree reflector also in Layz Boi's post allows a p18, so the set of missing periods is now just 13, 14, 15, 17, 19, 21 and 22.

In other news, here's a soup (involving more backrake disturbance) that takes just over 200k generations to stabilise:

Code: Select all

x = 16, y = 16, rule = B3-jkn4a/S1e2-a3ijnry4n
bobob3ob5obo$o3bo2bo3b2o$2b3obo7b2o$b2o2bobobo2b3o$2bobob8obo$2o3bo2b
2ob4o$2o4b2o3b3obo$2o3bobobob2o$bobo2bo3b3obo$b2obo2bo2bo3b2o$5b3o2bob
o$3bo2b4obo2bo$2obo5bob3o$4o4bob5o$o7b2o3bobo$ob4o2b5ob2o!

[77topaz]

Danny's oscillator collection he posted earlier in the thread included a p14:

Code: Select all

x = 9, y = 5, rule = B3-jkn4a/S1e2-a3ijnry4n
b3ob3o$2o5b2o2$2o5b2o$b3ob3o!

So, now there are just six periods missing: 13, 15, 17, 19, 21 and 22.

[AbhpzTa]

The 180-degree reflector also in Layz Boi's post allows a p18

And p22 (actually p10+4N : p14=trans version only) , also this p19+4N:

Code: Select all

x = 15, y = 7, rule = B3-jkn4a/S1e2-a3ijnry4n
2o5bo$4b2obo$2o5bo5bo$13bo$12bobo$10bobobo$10bo!

It has 17 cells(N=0,1) or 16 cells(N>=2) , fewer minimum population than your T-R-shuttle (18 cells) :

Code: Select all

x = 17, y = 7, rule = B3-jkn4a/S1e2-a3ijnry4n
2o13b2o$6bo3bo$6bo3bo$bo4bo3bo4bo$bo13bo$2bo11bo$2bo11bo!

Another p18:

Code: Select all

x = 14, y = 16, rule = B3-jkn4a/S1e2-a3ijnry4n
7bobo$7bobo4$12b2o$3bo4bo$2b2o4bo$8b2o2$2o$5bo$5bo$5bo$4bobo$4bobo!

So, now there are just six periods missing: 13, 15, 17, 19, 21 and 22.

Now 13,15,17 and 21.

[dani]

Can we call this still life the 'wishbone'?

Code: Select all

x = 3, y = 4, rule = B3-jkn4a/S1e2-a3ijnry4n
obo$obo$bo$bo!

[77topaz]

Sure, it's (roughly) the right shape.