Thread for Your Accidental Discoveries that Aren't in CGOL

[drc]

oh

Code: Select all

x = 16, y = 16, rule = B2ce3ai/S1c23-ai
o2b4obo5bo$bobobob2o2bo2bo$2bob3o2b2o4bo$3o2bobob2o2b3o$3b2o2b2o$bobob
o2bob6o$4o2bob5o$3ob2o2b3o4bo$2o2b4o2b2o3bo$ob2ob6ob4o$ob9ob4o$bobo2b
2obo2bo$o3bo4b2o3b2o$bo2b2obob2obo$obobo3bo2bo2b2o$2bo3b3obobobo!

[Rhombic]

Rescued from a 2013 thread:

Shows that there are probably other similar surprises still lurking around to be found…

I find interesting how the two halves interact only marginally, seems like there could be potential for a further grammar of components. E.g. two copies of the lower portion make up a symmetric 16-cell spaceship if birth from 4 diagonal neighbors is allowed…

Code: Select all

x = 4, y = 11, rule = B34c/S23
2b2o$bo$o$b3o$3bo2$3bo$b3o$o$bo$2b2o!

[Bullet51]

A spaceship that consist entirely of dots:

Code: Select all

x = 7, y = 9, rule = B2-a5678_S15678
5bo$bo$5bo2$o5bo2$5bo$bo$5bo!

EDIT: Just to wonder:

Code: Select all

x = 7, y = 11, rule = B34c_S23
3bo$ob2o$b2o$4b3o$4b2o2$4b2o$4b3o$b2o$ob2o$3bo!

[wildmyron]

An orthogonal spaceship I found in a rules table rule. Looks like a failed replicator.
Moves at 152c/1334!

MCell format.

Code: Select all

#MCell 4.20
#GAME Rules table
#RULE 1,0,1,0,0,4,2,1,1,3,0,0,0,0,0,1,1,3,0,0,0,0,0,0,4,1,2,3,0,0,0,0,
#RULE 0,4,4,3,3,2,0,4,0,0,0,0,0,2,4,4,2
#BOARD 500x500
#WRAP 1
#L 10$47.DADBDAA$46.BC..CCAAB$46.BB.CCAC.B$46.BADBBDB$59.AA$58.BBAA$57.DC
#L .BA$43.DD11.BC.CB$42.DAAD9.AB.CD$42.BCCB9.AABB4.BACBDADD$42.D..C10.AA
#L 5.AABCBA.CB$43.AACD.AB14.BCADAD.CD$43.DBBADCAA10.BAD.DADCCD.D$47.DA.D
#L 11.CA3.B5CD$47.BCAA10.AB.D3.DCACB$48.ABD12.D4.DD.CC.A$50.AA18.B.D3.D$
#L 49.D.AA14.A3D.DDCBCDD$50.BCA..B.A8.D7.3C.CB$50.D.A..ACB9.DA3.DB.ACD.CD
#L $27.AA22.DB..DA.D14.DD3CD.D$26.BBAA23.BA..D12.D3.DDCC3A$25.DC.BA22.DAC
#L D12.BABD4.BDDBD$24.BC.CB23.BCAA5.D5.DCC.DD4.AACB$23.AB.CD24.DBDDB3.D.B
#L A3.A.BACD5.CBC$23.AABB25.3ACCB3.AC4.D5CB4.BAA$24.AA26.D.DCCDAD.DAB4.D.
#L DCCDA4.AB$52.DC.DADACB..AA3.DC.DADACB$19.AA14.AA16.BC.ABCCABBCAA3.BC.A
#L BCBAA5.AA$18.BBAA12.BBAA16.DDADBDCCA.CA4.DDADBCAB4.BBAA$17.DC.BA11.DC.
#L BA22.AACCB16.DC.BA$16.BC.CB11.BC.CB24.ADB16.BC.CB$15.AB.CD11.AB.CD43.A
#L B.CD$15.AABB12.AABB44.AABB$16.AA14.AA46.AA$$27.AA14.AA$26.BBAA12.BBAA$
#L 25.DC.BA11.DC.BA$24.BC.CB11.BC.CB$23.AB.CD11.AB.CD$23.AABB12.AABB$24.
#L AA14.AA$$35.AA14.AA$34.BBAA12.BBAA$33.DC.BA11.DC.BA$32.BC.CB11.BC.CB$
#L 31.AB.CD11.AB.CD$31.AABB12.AABB$32.AA14.AA

I can't paste it in!

Golly does not support this file format, nor the rule format used in the file. MCell is a Java application which is still available. There is also an online version but it's tricky to get it to work in a browser these days. The "Rules table" format is described here. Given that information, it will be possible to write a Rule Table for Golly.

[wildmyron]

A p54 oscillator in B378/S23

Code: Select all

x = 61, y = 61, rule = B378/S23
14b2ob2ob2o17b2ob2ob2o$15bobo3bo17bo3bobo$15bo2b2o21b2o2bo$16bobob4o3b
o5bo3b4obobo$15b2o3bo3bobobo3bobobo3bo3b2o$14bo2b4o2b2obobo3bobob2o2b
4o2bo$15bo3bo6bob2ob2obo6bo3bo$14b2ob9o9b9ob2o$16bo3bo4bob7obo4bo3bo$
16bob2ob3obobo2bo2bobob3ob2obo$17bobo3bo13bo3bobo$27bo5bo$17bo2b2o5bo
5bo5b2o2bo$17bo2b2o5bo5bo5b2o2bo$o4bobo9bo2b2ob3o9b3ob2o2bo9bobo4bo$3o
bob2o13bo17bo13b2obob3o$3b2o3b2o10bo2bo13bo2bo10b2o3b2o$2o3bobo2bob3o
5b2o17b2o5b3obo2bobo3b2o$ob2obobobo41bobobob2obo$2bo2b3ob2o39b2ob3o2bo
$o2b3ob2o3b3ob2o25b2ob3o3b2ob3o2bo$2obo3bobo2b4obo25bob4o2bobo3bob2o$
3bo3bobo41bobo3bo$3bobobob2o3bobo27bobo3b2obobobo$4b2obo6bo11bo7bo11bo
6bob2o$7b3o4bo11b2o5b2o11bo4b3o$4b3o17b2obo5bob2o17b3o$3bo4b2ob3o11b2o
7b2o11b3ob2o4bo$4b3obo43bob3o$6bobo43bobo$8b2o41b2o$6bobo43bobo$4b3obo
43bob3o$3bo4b2ob3o11b2o7b2o11b3ob2o4bo$4b3o17b2obo5bob2o17b3o$7b3o4bo
11b2o5b2o11bo4b3o$4b2obo6bo11bo7bo11bo6bob2o$3bobobob2o3bobo27bobo3b2o
bobobo$3bo3bobo41bobo3bo$2obo3bobo2b4obo25bob4o2bobo3bob2o$o2b3ob2o3b
3ob2o25b2ob3o3b2ob3o2bo$2bo2b3ob2o39b2ob3o2bo$ob2obobobo41bobobob2obo$
2o3bobo2bob3o5b2o17b2o5b3obo2bobo3b2o$3b2o3b2o10bo2bo13bo2bo10b2o3b2o$
3obob2o13bo17bo13b2obob3o$o4bobo9bo2b2ob3o9b3ob2o2bo9bobo4bo$17bo2b2o
5bo5bo5b2o2bo$17bo2b2o5bo5bo5b2o2bo$27bo5bo$17bobo3bo13bo3bobo$16bob2o
b3obobo2bo2bobob3ob2obo$16bo3bo4bob7obo4bo3bo$14b2ob9o9b9ob2o$15bo3bo
6bob2ob2obo6bo3bo$14bo2b4o2b2obobo3bobob2o2b4o2bo$15b2o3bo3bobobo3bobo
bo3bo3b2o$16bobob4o3bo5bo3b4obobo$15bo2b2o21b2o2bo$15bobo3bo17bo3bobo$
14b2ob2ob2o17b2ob2ob2o!

Not exactly accidental but I was hoping to find something more amenable to engineering a gun.

Found from this agar:

Code: Select all

x = 93, y = 93, rule = B378/S23
2bo7bo31bo7bo31bo7bo$2b2o5b2o31b2o5b2o31b2o5b2o$2obo5bob2o27b2obo5bob
2o27b2obo5bob2o$b2o7b2o29b2o7b2o29b2o7b2o6$b2o7b2o29b2o7b2o29b2o7b2o$
2obo5bob2o27b2obo5bob2o27b2obo5bob2o$2b2o5b2o31b2o5b2o31b2o5b2o$2bo7bo
31bo7bo31bo7bo8$22bo7bo31bo7bo$22b2o5b2o31b2o5b2o$20b2obo5bob2o27b2obo
5bob2o$21b2o7b2o29b2o7b2o6$21b2o7b2o29b2o7b2o$20b2obo5bob2o27b2obo5bob
2o$22b2o5b2o31b2o5b2o$22bo7bo31bo7bo8$2bo7bo31bo7bo31bo7bo$2b2o5b2o31b
2o5b2o31b2o5b2o$2obo5bob2o27b2obo5bob2o27b2obo5bob2o$b2o7b2o29b2o7b2o
29b2o7b2o6$b2o7b2o29b2o7b2o29b2o7b2o$2obo5bob2o27b2obo5bob2o27b2obo5bo
b2o$2b2o5b2o31b2o5b2o31b2o5b2o$2bo7bo31bo7bo31bo7bo8$22bo7bo31bo7bo$
22b2o5b2o31b2o5b2o$20b2obo5bob2o27b2obo5bob2o$21b2o7b2o29b2o7b2o6$21b
2o7b2o29b2o7b2o$20b2obo5bob2o27b2obo5bob2o$22b2o5b2o31b2o5b2o$22bo7bo
31bo7bo8$2bo7bo31bo7bo31bo7bo$2b2o5b2o31b2o5b2o31b2o5b2o$2obo5bob2o27b
2obo5bob2o27b2obo5bob2o$b2o7b2o29b2o7b2o29b2o7b2o6$b2o7b2o29b2o7b2o29b
2o7b2o$2obo5bob2o27b2obo5bob2o27b2obo5bob2o$2b2o5b2o31b2o5b2o31b2o5b2o
$2bo7bo31bo7bo31bo7bo!

[Bullet51]

A p54 oscillator in B378/S23

Code: Select all

code

Wow. Nice discovery!

[BlinkerSpawn]

24 fewer ON cells but 2 cells bigger in each direction:

Code: Select all

x = 65, y = 65, rule = B378/S23
22b2o17b2o$22bo3b2o9b2o3bo$24bo2bo9bo2bo$23b3o13b3o$17b2ob2o21b2ob2o$
18bobob4o3bo5bo3b4obobo$18bo7bobobo3bobobo7bo$19b2obo2b2obobo3bobob2o
2bob2o$20bo7bob2ob2obo7bo$19b2o2b5o9b5o2b2o$18bo8bob7obo8bo$18bob2ob3o
3bo2bo2bo3b3ob2obo$19bob2o2b2obo7bob2o2b2obo$20bobo19bobo$22b2o4b3o3b
3o4b2o$18b4o4bobo7bobo4b4o$26bo11bo$4bo18bobo13bobo18bo$4b3o3b2o3bo6bo
bo15bobo6bo3b2o3b3o$7bobo2bo2bo6b2o17b2o6bo2bo2bobo$4b2ob3obobobo33bob
obob3ob2o$4bo6b2o2bo33bo2b2o6bo$2o3bobo4b3o3b2o25b2o3b3o4bobo3b2o$o2bo
bo3bobo2bo2bobo25bobo2bo2bobo3bobo2bo$2b2obo3bobo6bo27bo6bobo3bob2o$3b
obobobob2o4bo29bo4b2obobobobo$bo4b2obo2bo2b2o11b2o5b2o11b2o2bo2bob2o4b
o$b2o6b2o18bo5bo18b2o6b2o$6b3o3bob2o10bo2bo5bo2bo10b2obo3b3o$5bo4b2o2b
o11b3o7b3o11bo2b2o4bo$6b3obo3bo35bo3bob3o$8bobo43bobo$10b2o41b2o$8bobo
43bobo$6b3obo3bo35bo3bob3o$5bo4b2o2bo11b3o7b3o11bo2b2o4bo$6b3o3bob2o
10bo2bo5bo2bo10b2obo3b3o$b2o6b2o18bo5bo18b2o6b2o$bo4b2obo2bo2b2o11b2o
5b2o11b2o2bo2bob2o4bo$3bobobobob2o4bo29bo4b2obobobobo$2b2obo3bobo6bo
27bo6bobo3bob2o$o2bobo3bobo2bo2bobo25bobo2bo2bobo3bobo2bo$2o3bobo4b3o
3b2o25b2o3b3o4bobo3b2o$4bo6b2o2bo33bo2b2o6bo$4b2ob3obobobo33bobobob3ob
2o$7bobo2bo2bo6b2o17b2o6bo2bo2bobo$4b3o3b2o3bo6bobo15bobo6bo3b2o3b3o$
4bo18bobo13bobo18bo$26bo11bo$18b4o4bobo7bobo4b4o$22b2o4b3o3b3o4b2o$20b
obo19bobo$19bob2o2b2obo7bob2o2b2obo$18bob2ob3o3bo2bo2bo3b3ob2obo$18bo
8bob7obo8bo$19b2o2b5o9b5o2b2o$20bo7bob2ob2obo7bo$19b2obo2b2obobo3bobob
2o2bob2o$18bo7bobobo3bobobo7bo$18bobob4o3bo5bo3b4obobo$17b2ob2o21b2ob
2o$23b3o13b3o$24bo2bo9bo2bo$22bo3b2o9b2o3bo$22b2o17b2o!

EDIT: Some quite involved modifications reduce the population by 40 more cells and bring both dimensions back down by 2:

Code: Select all

x = 63, y = 63, rule = B378/S23
19bobo19bobo$18bob2o19b2obo$18bo3b2o15b2o3bo$16b2ob2o3bo13bo3b2ob2o$
17bobob3o15b3obobo$17bo27bo$18b2obo4b2ob2ob2ob2o4bob2o$19bo4bo2bob2ob
2obo2bo4bo$18b2o2b4obo7bob4o2b2o$17bo8bob7obo8bo$17bob2ob3o3bo2bo2bo3b
3ob2obo$18bob2o2b2obo7bob2o2b2obo$19bobo19bobo$21b2o4b3o3b3o4b2o$17b4o
4bobo7bobo4b4o$25bo11bo$3bo18bobo13bobo18bo$3b3o3b2o3bo6bobo15bobo6bo
3b2o3b3o$b2o3bobo2bo2bo6b2o17b2o6bo2bo2bobo3b2o$o2b2ob3obobobo33bobobo
b3ob2o2bo$bobo6b2o2bo33bo2b2o6bobo$2o2bobo4b3o3b2o25b2o3b3o4bobo2b2o$
2bobo3bobo2bo2bobo25bobo2bo2bobo3bobo$2bobo3bobo6bo27bo6bobo3bobo$3bo
3b2ob2o4bo29bo4b2ob2o3bo$8bo2bo2b2o11b2o5b2o11b2o2bo2bo$6bo2bo18bo5bo
18bo2bo$6b3o2bob2o10bo2bo5bo2bo10b2obo2b3o$9b2o2bo11b3o7b3o11bo2b2o$6b
2obo3bo35bo3bob2o$6b2obo43bob2o$9b2o41b2o$6b2obo43bob2o$6b2obo3bo35bo
3bob2o$9b2o2bo11b3o7b3o11bo2b2o$6b3o2bob2o10bo2bo5bo2bo10b2obo2b3o$6bo
2bo18bo5bo18bo2bo$8bo2bo2b2o11b2o5b2o11b2o2bo2bo$3bo3b2ob2o4bo29bo4b2o
b2o3bo$2bobo3bobo6bo27bo6bobo3bobo$2bobo3bobo2bo2bobo25bobo2bo2bobo3bo
bo$2o2bobo4b3o3b2o25b2o3b3o4bobo2b2o$bobo6b2o2bo33bo2b2o6bobo$o2b2ob3o
bobobo33bobobob3ob2o2bo$b2o3bobo2bo2bo6b2o17b2o6bo2bo2bobo3b2o$3b3o3b
2o3bo6bobo15bobo6bo3b2o3b3o$3bo18bobo13bobo18bo$25bo11bo$17b4o4bobo7bo
bo4b4o$21b2o4b3o3b3o4b2o$19bobo19bobo$18bob2o2b2obo7bob2o2b2obo$17bob
2ob3o3bo2bo2bo3b3ob2obo$17bo8bob7obo8bo$18b2o2b4obo7bob4o2b2o$19bo4bo
2bob2ob2obo2bo4bo$18b2obo4b2ob2ob2ob2o4bob2o$17bo27bo$17bobob3o15b3obo
bo$16b2ob2o3bo13bo3b2ob2o$18bo3b2o15b2o3bo$18bob2o19b2obo$19bobo19bobo
!

[wildmyron]

@BlinkerSpawn: Thank you.

24 fewer ON cells but 2 cells bigger in each direction:

Code: Select all

<snip rle>

EDIT: Some quite involved modifications reduce the population by 40 more cells and bring both dimensions back down by 2:

Code: Select all

<snip rle>

Yes, it certainly wasn't optimal. I wonder if there is a way to stabilise it that still allows sparks from two adjacent copies to interact. I'm not hopeful.

Here are some other interesting results from RandAgar:

p48 orthogonal wick:

Code: Select all

x = 80, y = 6, rule = B378/S23
7bo13bo13bo13bo13bo13bo$7b2o12b2o12b2o12b2o12b2o12b2o$8b2o12b2o12b2o
12b2o12b2o12b2o$b2o12b2o12b2o12b2o12b2o12b2o$2o12b2o12b2o12b2o12b2o12b
2o$o13bo13bo13bo13bo13bo!

p96 orthogonal wick:

Code: Select all

x = 141, y = 6, rule = B378/S23
o9bo15bo9bo15bo9bo15bo9bo15bo9bo15bo9bo$o9bo15bo9bo15bo9bo15bo9bo15bo
9bo15bo9bo$o9bo15bo9bo15bo9bo15bo9bo15bo9bo15bo9bo$o9bo15bo9bo15bo9bo
15bo9bo15bo9bo15bo9bo$o9bo15bo9bo15bo9bo15bo9bo15bo9bo15bo9bo$o9bo15bo
9bo15bo9bo15bo9bo15bo9bo15bo9bo!

(4,3)c/25 wave:

Code: Select all

x = 101, y = 100, rule = B378/S23
97b2o$96bo2bo$96b2ob2o$98bo$93b2o$92bo2bo$92b2ob2o$94bo$89b2o$88bo2bo$
88b2ob2o$90bo$85b2o$84bo2bo$84b2ob2o$86bo$81b2o$80bo2bo$80b2ob2o$82bo$
77b2o$76bo2bo$76b2ob2o$78bo$73b2o$72bo2bo$72b2ob2o$74bo$69b2o$68bo2bo$
68b2ob2o$70bo$65b2o$64bo2bo$64b2ob2o$66bo$61b2o$60bo2bo$60b2ob2o$62bo$
57b2o$56bo2bo$56b2ob2o$58bo$53b2o$52bo2bo$52b2ob2o$54bo$49b2o$48bo2bo$
48b2ob2o$50bo$45b2o$44bo2bo$44b2ob2o$46bo$41b2o$40bo2bo$40b2ob2o$42bo$
37b2o$36bo2bo$36b2ob2o$38bo$33b2o$32bo2bo$32b2ob2o$34bo$29b2o$28bo2bo$
28b2ob2o$30bo$25b2o$24bo2bo$24b2ob2o$26bo$21b2o$20bo2bo$20b2ob2o$22bo$
17b2o$16bo2bo$16b2ob2o$18bo$13b2o$12bo2bo$12b2ob2o$14bo$9b2o$8bo2bo$8b
2ob2o$10bo$5b2o$4bo2bo$4b2ob2o$6bo$b2o$o2bo$2ob2o$2bo!

c/5 diagonal wave:

Code: Select all

x = 73, y = 73, rule = B378/S23
69bobo$68bo2bo$67b2o3bo$66bo2b2obo$69bo2bo$66b2o3bo$63bobo2b3o$62bo2bo
$61b2o3bo$60bo2b2obo$63bo2bo$60b2o3bo$57bobo2b3o$56bo2bo$55b2o3bo$54bo
2b2obo$57bo2bo$54b2o3bo$51bobo2b3o$50bo2bo$49b2o3bo$48bo2b2obo$51bo2bo
$48b2o3bo$45bobo2b3o$44bo2bo$43b2o3bo$42bo2b2obo$45bo2bo$42b2o3bo$39bo
bo2b3o$38bo2bo$37b2o3bo$36bo2b2obo$39bo2bo$36b2o3bo$33bobo2b3o$32bo2bo
$31b2o3bo$30bo2b2obo$33bo2bo$30b2o3bo$27bobo2b3o$26bo2bo$25b2o3bo$24bo
2b2obo$27bo2bo$24b2o3bo$21bobo2b3o$20bo2bo$19b2o3bo$18bo2b2obo$21bo2bo
$18b2o3bo$15bobo2b3o$14bo2bo$13b2o3bo$12bo2b2obo$15bo2bo$12b2o3bo$9bob
o2b3o$8bo2bo$7b2o3bo$6bo2b2obo$9bo2bo$6b2o3bo$3bobo2b3o$2bo2bo$b2o3bo$
o2b2obo$3bo2bo$2o3bo$2b3o!

Edit 1:
p26 wick with interesting interaction between adjacent glider bounce reactions:

Code: Select all

x = 98, y = 10, rule = B378/S23
15b2o20b2o20b2o20b2o$15b2o20b2o20b2o20b2o$11bo8bo12bo8bo12bo8bo12bo8bo
$12b2o4b2o14b2o4b2o14b2o4b2o14b2o4b2o$11b2o6b2o12b2o6b2o12b2o6b2o12b2o
6b2o$2o6b2o12b2o6b2o12b2o6b2o12b2o6b2o12b2o6b2o$b2o4b2o14b2o4b2o14b2o
4b2o14b2o4b2o14b2o4b2o$o8bo12bo8bo12bo8bo12bo8bo12bo8bo$4b2o20b2o20b2o
20b2o20b2o$4b2o20b2o20b2o20b2o20b2o!

Edit 2:
p100 wick:

Code: Select all

x = 160, y = 216, rule = B378/S23:T160+144,216
140bo16b3o$139b2o12bo4bo$138bo14bobo$139b2obo8bo$140b3o4$153b2o$134bo
16b3o$133b2o12bo4bo$132bo14bobo$133b2obo8bo$134b3o4$147b2o$128bo16b3o$
127b2o12bo4bo$126bo14bobo$127b2obo8bo$128b3o4$141b2o$122bo16b3o$121b2o
12bo4bo$120bo14bobo$121b2obo8bo$122b3o4$135b2o$116bo16b3o$115b2o12bo4b
o$114bo14bobo$115b2obo8bo$116b3o4$129b2o$110bo16b3o$109b2o12bo4bo$108b
o14bobo$109b2obo8bo$110b3o4$123b2o$104bo16b3o$103b2o12bo4bo$102bo14bob
o$103b2obo8bo$104b3o4$117b2o$98bo16b3o$97b2o12bo4bo$96bo14bobo$97b2obo
8bo$98b3o4$111b2o$92bo16b3o$91b2o12bo4bo$90bo14bobo$91b2obo8bo$92b3o4$
105b2o$86bo16b3o$85b2o12bo4bo$84bo14bobo$85b2obo8bo$86b3o4$99b2o$80bo
16b3o$79b2o12bo4bo$78bo14bobo$79b2obo8bo$80b3o4$93b2o$74bo16b3o$73b2o
12bo4bo$72bo14bobo$73b2obo8bo$74b3o4$87b2o$68bo16b3o$67b2o12bo4bo$66bo
14bobo$67b2obo8bo$68b3o4$81b2o$62bo16b3o$61b2o12bo4bo$60bo14bobo$61b2o
bo8bo$62b3o4$75b2o$56bo16b3o$55b2o12bo4bo$54bo14bobo$55b2obo8bo$56b3o
4$69b2o$50bo16b3o$49b2o12bo4bo$48bo14bobo$49b2obo8bo$50b3o4$63b2o$44bo
16b3o$43b2o12bo4bo$42bo14bobo$43b2obo8bo$44b3o4$57b2o$38bo16b3o$37b2o
12bo4bo$36bo14bobo$37b2obo8bo$38b3o4$51b2o$32bo16b3o$31b2o12bo4bo$30bo
14bobo$31b2obo8bo$32b3o4$45b2o$26bo16b3o$25b2o12bo4bo$24bo14bobo$25b2o
bo8bo$26b3o4$39b2o$20bo16b3o$19b2o12bo4bo$18bo14bobo$19b2obo8bo$20b3o
4$33b2o$14bo16b3o$13b2o12bo4bo$12bo14bobo$13b2obo8bo$14b3o4$27b2o$8bo
16b3o$7b2o12bo4bo$6bo14bobo$7b2obo8bo$8b3o4$21b2o$2bo16b3o$b2o12bo4bo$
o14bobo$b2obo8bo$2b3o4$15b2o!

[muzik]

Edit 1 is also in life.

[BlinkerSpawn]

Edit 1 is also in life.

Not at that density it isn't.
Check out the birth-on-7-neighbors betw. generations 24 and 25

[praosylen]

Code: Select all

x = 10, y = 8, rule = B34a/S23
2o3b2o$o2b2obo$5bo$bo$8bo$4bo$3bob2o2bo$3b2o3b2o!

[gameoflifemaniac]

I made an p48 oscillator in HighLife by stabilizing the HighLife replicator with two correctly placed eaters.

Code: Select all

x = 25, y = 21, rule = B36/S23
o$3o$3bo$2b2o7$14b3o$13bo2bo$12bo3bo$12bo2bo$12b3o3$21b2o$21bo$22b3o$
24bo!

[drc]

I made an p48 oscillator in HighLife by stabilizing the HighLife replicator with two correctly placed eaters.

Code: Select all

x = 25, y = 21, rule = B36/S23
o$3o$3bo$2b2o7$14b3o$13bo2bo$12bo3bo$12bo2bo$12b3o3$21b2o$21bo$22b3o$
24bo!

Incidentally this was the 5th post in this thread:

P48 oscillator.
replicator shuttle

Code: Select all

x = 8, y = 18, rule = B36/S23
bo$2bo2bobo$3o2b2o$6bo12$6b2o$5b2o$7bo!

I think you pasted the wrong pattern.

Ah, sorry.

Code: Select all

x = 23, y = 23, rule = B36/S23
2o$bo$bobo$2b2o9$12b3o$11bo2bo$10bo3bo$10bo2bo$10b3o3$19b2o$19bo$20b3o
$22bo!

[bprentice]

The following pattern is not just another oscillator. Run it in Golly to see it expand.

Code: Select all

x = 56, y = 56, rule = b2ca3q4art5nqr/s2a3nq4ekaijrt5cnqj7c8
13.A.A9.A.A17.A$35.A.A.A$9.A.A.A.A.A.A.A.A.A.A.A.A.A7.A3.A$9.A.A.A.
A.A.A.A.A.A.A.A.A.A7.A$35.A.A.A$13.A.A9.A.A4$2.2A$53.A.A$2.2A2$A.2A
.A$52.2A$A.2A.A$51.A2.A$2.2A$51.A2.A$2.2A$51.A2.A$2.2A$52.2A$2.2A$52.
2A$A.2A.A$52.2A$A.2A.A$50.A.2A.A$2.2A$50.A.2A.A$2.2A$52.2A$2.2A$52.
2A$.A2.A$52.2A$.A2.A$52.2A$.A2.A$50.A.2A.A$2.2A$50.A.2A.A2$52.2A$A.
A$52.2A4$28.A.A9.A.A$16.A.A.A$14.A7.A.A.A.A.A.A.A.A.A.A.A.A.A$10.A3.
A7.A.A.A.A.A.A.A.A.A.A.A.A.A$16.A.A.A$10.A17.A.A9.A.A!

Brian Prentice

[wildmyron]

@bprentice: That is an extraordinary pattern. I'm not sure that a description of it can fit into any of the standard replicator or other quadratic growth classes but it certainly has elements of replication and breeding behaviour. Some type of step change in population growth seems to happen at around gen 12000 that I can't identify the cause of.

Thank you for sharing.

[Rhombic]

Code: Select all

x = 5, y = 11, rule = B3-q4z/S2-i3-e4wz
2b2o$2b2o$o$o3$b2o$b4o$o$bo2bo$b3o!

oblique

[praosylen]

Code: Select all

x = 19, y = 17, rule = B34c/S23
4bo9bo$4b3o5b3o$7bo3bo$2o4b2o3b2o4b2o$bo15bo$bobo11bobo$2b2o11b2o$7b5o
$5bo7bo$7b5o4$6b2o3b2o$7bo3bo$4b3o5b3o$4bo9bo!

[Saka]

I unofficially name this oscillator "frog"

Code: Select all

x = 4, y = 2, rule = B2ein3-ckry4ciw5iy6n/S1c2ae3-a4cqtyz
b3o$3o!

This replicator has some real neat dynamics when played at 10^1

Code: Select all

x = 4, y = 4, rule = B2en3aijn4aqrw5iy6n/S1c2ae3-a4cqtyz6n
b3o$o2bo$obo$2o!

[GUYTU6J]

Is this kind of random thing discovered before?

Code: Select all

x = 4985, y = 48, rule = B2i3i6i/S03i
4196bobo16$2282bobo3b2o7b2o2bo6bobo$2277bo2bobo4bobo3bo3b3o3b2obo5bo$
2279bo3b3o2b4o2bo5b3obob4obo$2275bobo3bobo2b2o3bo2b4o3b2o9bo$2279bo2b
2o6bobo2b4o2bo4bo2bobo$2276bob3o3bo4b5o2b2obob2o4bo3b3o$2278bob2o4b2ob
2o2bo6b2o8bo$2277bo3b3o12bobo3b5o$2278b2ob2o7bobo2bobobo6bo2bob3o$
2277bo3bob3obo5bob2ob5obo5bo2bo$2277b3ob3o5bo2b4o2bo2b3o2b2obo2b2o$
2202bo4b2obo4bob3obo2bob5obob2o2b3o2b5o3bo3bo2bobo2b3o2bo2bo2bobo2bo2b
o2bo3bobobo2b2o2bo2b6o5bo7b3obo3bobo2bobob4o2bobo2bo7bo2bobobo3bo2bob
2o4bo4bo6bobo2bo3bob2o4b2o3b3o3bo2b4o3b2obobob3obobobobo5bo8b6ob3ob2o$
2205bo4b2o2bob4o5bob2obobobobobobo2b2o2bo2bo5b2ob2o4b3o2b3ob4o2b5obo2b
2ob3o3b2obob2o3bob2o3bob3ob2obob2o3bo5bobo2bob2ob8obo2b4o3bob3o5b3o4bo
4b6o4b2o4bobobobo3bo6bo3bo3bo6bo2bo5bo3b2ob4ob4o4bobo3bobo$2201bo3b3ob
2ob2o2bo3b2o4bobo6b2ob3obobobobo3bo3bobo2bobo3bobob2o2b2o3bobo2b2o2b2o
2b3ob2o2bo6bo2b2ob2o2bob4ob3ob2ob2ob2obob3ob5ob2o2bo3bo5bo3bo3b6o3b2ob
2o3b5o2b6obob2obo2bob2o2b2o5bo2bo4bobo3b2o5bobob4obo2bo3b2obobo4bo2bo$
2201bobobob2obo3b2o2bo7b2obobo4b2obobo4bobob3o8bo3bo2bo2b3o4bob2obob2o
2b2o5bo2b6o2bo5bo2b2o3b3obob4obo5b2o3bob2obobo6bo4b2obo2bo3bo2bo5bo3bo
2bo2bo6bobo2bob2o6bob4o6b4o2b2ob3ob2o2bo16bobob2o3bo2b3o$2202bo3b6o2b
2obobobo4bo3b2o5bob3o7bo2b2obo6b2ob5obo4b4obobo8bob3o2b2obobo3b2obo3bo
bob3o5bo2bobo2b4o2bobobobobobobob2obo4bo3b2o3bobobo6bo3bob2o3bo6bo2b2o
b2o3b2o3bo5b3o2bob2o2bo4bo2bo4bob3o7bo3b2o3b2o2bo$2203bob2o5b4obob2o2b
2o4bo8bo4bo12b3o2bobobo2bobo2bo4b4ob4o2bo2bo3bobobo2bo5b3o3b3o4bobob3o
3bo3bo5b3o2bobobobo6b3obob2o3bobob2obo4bo3bo4b2ob3ob2ob2o2bo4b2o2b3obo
2bobo3bo3bo2b2o6b7o2b5o2bo4b2o2b3ob2o$2206b2obob3o3bo3bo4bo3bob3o2b3o
2bobo8b2o2bobo3bo3b2o4b3ob3o3bo6bo5b3o3b3obo9b3obo2bo5bo7b2obob3o2bob
3o4b2o2bobob3o2bo2b6obo2bobobo4b3obobo6bo4b2ob2o6bo2bobobob2obo2bo3bob
2o6b2o2b7obo2bob2o2b3obo$2201bo4b2obo3bob4o2bo3bo2bobo12bob3o5b3o7bobo
3bo2bo3bo4b2obob5obo2bo2b3o3bo3b2o2b2obobo4bo2bobo2bo3bo2b3o5bobo6bo2b
o3bobo5bo4b2ob3o4b3o5bo7b2obo3bo2bob2o2bo5bobo5b2o2bo2bob2o3bo3b5o5bo
2bo5bo2bo2bo$2206bobo4b3o2bobobo3b2o2bobo2b3obobobo3b3obobob2obob4obo
3b4ob3o2bo5bobo11bo4bo3bob3obo4b2ob2o3b2obo2bo3bo5bob2o2bo2bobo2b4o2b
3o2bo2bobo7b2o6bo7bo5b2o4bo3b2o2bo2bobobobobobo2b2o2bo2bo4bo2b2obo5bo
16bo$2202b2o6bo3bo3bob3o2b2ob4obo7bo2bo3b2o2bo2b3o2bobob2o2bo2bo3b2ob
2ob3obo2bobobo6bo6b2ob2o4bobob2o3b3obo8bo5bo2bobo3bo2bo2bob3ob3o2bo2b
2o7b2o2b4o3b3o2bo2b2o3bo4bo2bobo5b2obobo3b3o2bob2ob7o5bobob2o2bobo6bob
2o$2204bo4b2o2bob3o3bobo4b2obo3b5obo2bo5bo4bo2b2o2b6ob3o2b2ob2obo2b2o
5b2obobo3bo16bo2bo2b2o5bo2b2ob2o5b4obo2b6o9bo2b2obo4bob2o2b2o3b2o2bo6b
5o4b3ob4obo5b2obob2ob2o2bob4o3bo3bob2o2bo2bobo4bo8b2o$2201bo2bobo2bo3b
2obo2bo2b6o4b2ob2o5bo4bo5bo5b2o3bo2b3obobo2b2ob2ob2o5bobo6b5o3bo2bo4bo
b4obob3ob2ob2obob2o4bobob3obobo4b4o5bo3b3obo2b2ob3o2b2obo3b2o2bo4bo7bo
b5ob2o4b2obo2bobo2b5o4bo2bob2o2bo11bobo6b3o$2202bob2obobo4b3o2bo2bobob
2o4b3o3b2o6bo2b3obo4bobo6bo2b2o3bo4bo3b5o2b4o4bo2bo3b2ob2o2bobobo2b4o
3bo2bobo2bo4bo2b2o2bobob2obob2o5b4obo5b2o2bo2bo10bo2bo3bo2bob2o5bo4bob
ob4o6b3o5bo7bo6bobo3b2obo2bo8bo$2202b2o4bobo2b3obo2b2o2b2o2b3o2bo6bo6b
o5bo2bobo2b2o2b4o3bo4bo2b2o4b2obo6bo3b2ob5obob2o3bobobo6b2o2bobo6bo3b
2o5bo2b2o3b2ob2obo5b2o7bob2o11bob3o6bo2b2o3bobo3bo4b2ob2o2bobo7bo6b2o
6bo2bo6bobo3bo$2206b2obob4ob3ob3o2bo3b3o2bob2ob3obo6bobo2bo7bo3bob2o5b
o4bo6bo2b2o4bo6b2o2bobo4bobo6bobobo2bo3bo3bo7b2ob3obo6b5o2bobobo2b3ob
3o3b2obo2bob2o3bo2bo3b4obobo4bobob3o2bo2bobo2bobob2o2b2o3bo2bob2o2bobo
2bo3bo4bobobo$2202b2obob2o2b2o3b3o2b2o4bo3bob2o4b2o3bo4bo4b4o7b2o4bo3b
2obob5obo4b4obo2b2o6bo2bob5o4b3o2bo2b2o2bobob2o3bo2b3o6bobo3bo2b5obobo
6bo3bo4bo2b2obo5bobo2b2o3bob4ob2obo4bobo3b2o2b3obo2bobo5b3ob2o2b4obo2b
obo2bob3o$2201b2o8b2o12bob2o3b3obo3b2obobobo5bob3o2b2ob3obobob4o2b2o3b
o3bo2bo3b2o3b3o4b4o3bo2b2obo2bo6bo3b4o2bobo2bo5bo2b2o2b3ob2o2bob2ob3ob
3obobo3b2obo2b3obo4bo3bobob2o2bobo4bo4bobo2b2o3b2o6bo2b4o3b2o3bobo3b3o
2b4o3bo$2202b4o5b2ob3obo2b2obo6b5o4bo4b2o2b2o2bob2o2b4o2bo2b2o9bo2b2o
3b2obo10b2o3b2o3b3ob2obo4bobo2b3obo3bo2b2o3bo6bo2b3o2b2obob3ob3o6b2o3b
2o2b2obob2o6bobob2obob7o4bo2bo3bobob2obo2bo2bo3b2obobo2bo3b2o2bob2o5bo
bo3bo$2201bobobo2bo5bo3b4o4bobo6bob3obo6bo2bo2b2o3bo2bo4bo5bobo6bo11b
3o2b3ob4obo3b2obobobobobo3b3ob2obo3bo4b2ob3o4b2o2b2obo2bo2bobob2obobob
2ob4o3bobobob3o2b3o4bobob2ob3o4bo4b2o2b3o3bo2bobo5b2o4b3ob3o4bobo6bobo
2$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo!

[GUYTU6J]

After about 12900 generations,the puffer stops puffing and results in a (high-period?) spaceship.

Code: Select all

x = 1000, y = 8, rule = B2i3i6i/S03i:T1000,0
1000o2$bobo3b2o3b2o3bob2o2b2o10bo3b3obo2b2obobo2b2o2bobo2b2ob3ob2obob
3ob2o3bob2o4bo4bo2b2obob3o2b2obob2o5bo3b3o2b2ob2o4bob2o4b2o2bob2ob2o7b
o3b4obo2bobo3b2o2bobo2b4o2bobob2ob2o4b12o2bo13b2o5bobobo3bo6b2obob2ob
2obo3bo5b3ob3o2bo4b2o4bob2o2b4o4b2obobobo2bob2obo3bo9bo2b3ob6o5b3ob2o
3bobo3bo7bo2bob7o4b2obobo3b2o4b2obo2bo2bo3bo2bobo5bobo2bobo3b2o2bo10bo
3bo6b2o5bo2b2o10b5obo2bo2b2o2b2o2b2ob2o2bo4b2o8bo7bo2bo$3bob2o3bo2b3o
4b2o2bobo2bobo5bo5b2o2bobo4b2obo2bob2obo2bo2bo2b4o2bo3bo3b3obo6bobo4bo
2bobo4bo4bo2bo4b7ob3o2b3o4b2o3bob2obo3bobobo3b2o7bob4ob2obo7b2obobo2bo
bo2bobobo4bo3bobo7b3obo2b2o2b3obo2bo5bo3bobo2b3obobo2bob3o5bo2bo2b3ob
2o2b2o2bo2b2o2b3o3bob4o2b2ob5ob2obob2ob2obobobob2o7b3obo5b2obo4bobob2o
5b2obo4bo6bob2o2bob2obob2obo4b6ob3o4bobo2bobo4bo3bob2ob2o4bo2bob2o3b2o
b2obob2obo2bobobo4b4o2bo3bob2o2b5o3b4o4b2o6b2obobo5bo3bo$b2o3bo8bob3ob
o2bo2bobo5bob2obo2bobo2b4obo2bo3bobobo7bo2b2o2b3o5bo4bo4bo8bobobob2obo
b2obo6bo3b2o2b2o5bob3o10b3obo5bo2bo2b3o2b2o5b3o5bo3b2ob2obo2bobo5bobo
2bo9bo5b2o3b4o2b2o7b2o2bobo7bo4bob2o4bo2b2obobobob3ob2obobobo3b3ob3o4b
obob2obo2b3o4bo5bob3o2b2o2bob3ob3obobo2b2obo2bo10b3o3b3o5bobo2b2o3b3ob
obob2obo2b2o3bo2b2o6bobobo5b2obo2b3ob2o2bob2ob3o2bob2o3b3obo4b3o3bo2b
2o3b2o7bo5bobobobo3bo2b2obobo2b2ob2o4bo2b2o$bo7bo11b2obo4bobo2b3o9b2ob
3o3b2ob4obo3bo4bo2bo5bobob2ob2o4bo4bobo2bobo4b2o2bo4bob5obo4b2o4b2o5bo
2bobob2o3bo4bo2bo3bobobo2b2obob2o3bo11b2ob3obobo4b4o3b2o4bo2b3o4b2o2bo
b2o2b2obo2bob4o4b2obo2bo3bo3bobo6b2o6b2obobo2bo4bo2bo4bo2bo2b2obo2bo3b
ob2o6bobobobo2bo2b3obobo4bob3obobo2bo2bo6b2o3bo2bobo3bo3b2o2bob2o4b4o
4bob7ob4obo2b2obo2bobobobobobobobob2o3bo4bobo8b2obo4b3o3bo2bob2o3b2obo
bo2bo2b2o4bobobo2bo5bobobo3b2o5bo$b2o2b3ob2o3b3o2bob2o5b3o5bo2bob2o3b
3ob2o5bo4b4o4bo2bo2bo4bo3b3obobo5b5o3b2ob2o2bo5bob7o3b4o2b3obob3o8bo4b
2o3bo3bo12b2o2bobo6bo2bo2b2o2b3o3bo4bo4bo4bobo2b5ob2ob2o3bo2bo4b4o3bo
3b2obobo7b2o2b2o2bobo2bob3obobob5o2bob2obo5b2obob2o2b6o2bobo4b4o5b3o
10bob2o2bo2b2o3bobo3b2o2bo4bo3bob2o5b2o4b3ob4obob6o2bo2b2ob2o5bo4b2obo
b2o8b4ob5ob2obo7bobo6bobo2b2o4bob3o5b2o9bob4o10b2obo6bo$o4bo4b2o4bo2bo
2b3ob4o2b2ob5o6b2o4bobo3b3o5bobobo2bobo2b2o2b2o3bo4b2o4bo2b6o5b3obobo
5b3o2b2o2bo2bo2b6o2bobo3bo2bobob2obo4bo6b4o5b3o9b6o2b6obobob2o4bo2bo4b
4ob2o2b6o6b2o3b2obo2b3o2bo5bobo2b2obo3bo10b3o9bo3bo2bobo6bo2b2obo3bo4b
2o2bo6bo11b2o2bob2o3b3ob4o2b2o3b2o3bo2b4o3bo3bo3b2o2bo3bob3obob2obo12b
4obobo4bo3bob2obobo4b2o4bo4b4o3b5ob2o4bo2b4o3bobo3b2o2b2o3bobo3bo4bo9b
o3b4o!

[GUYTU6J]

If we add B4in:

Code: Select all

x = 1000, y = 5, rule = B2i3i4in6i/S03i:T1000,0
3bo4b2o3bo2b5o4b4o5bo2b2o3bo2b2obo3b2obo6bo4b5o2bo3b2o7b3obo4bo2bo2bo
3b7o3b2o2bob3ob3o5b3o2bo2bo2bobob2o2bo6bo2b2obo14b2o3bo2bo11bob2o2bobo
bobob2obo2b3o2bo6b2o11bob5o9b4obo2b2o2bo8bob2o6bo2bobo3b8ob2obobobob4o
2bob3ob4o2bo2bo4b2o2bo8b2o3bo3b2o3bob2ob4obo6bobo3bobo4bo4bo3bobo4bob
2obo4bob2obobob3o2bo3b3obo3b3ob3ob2o3b5o2bo11bob2o2bob3obo$bobo2bo2bob
3o3bobobob2o2bo3b2o2bo2b5o4bob2o3b2o3b2o7b3o3b2ob2o2bo4b3o2b2obobo4b3o
3b2o6bo2bobobo3bo4b2o3bo4bo5bo2bo3bo2b3o2b2o7b2o4b2obobo6bobobo2bo3b2o
5bo2b4o4b3o4bo6b2o2b2o5b3o2b3obo2b2o3b2obobo3bob2o2bobo2bo2b3o7b2o4b2o
3b3obo2bob3o2bobo2b4o3b2obo5b3o2bobo3b3o5bo3bo3b2o2b2ob3o3bob5o4b2o2bo
b2o2bo4b2o2b2ob3o4bo2bo2b2o3bo2bobo2b4obo5b2o2bo2b2o2b2obo9bo2bo2b2o3b
o4b2obobobo$2bo3b2o2bobob2o2b8obobobo8bo5bo4bob2o4bo3b3o2bobo2bo3bo2bo
bo4bob2obob3obobo3bobob3obo2bob2obobob2obo2b2obobob4o3bobo2b4o2bo5bo3b
o2bo3bo4bo2b2obo3b4o4bob2obo3bob3o2b3o2bo3bo3bob2o2bobobo3bo5b2obob2o
5bo2bob4o6b2o2bo3b5obo2b2o8b3o2b3o4bo2b2o2b2o3b2ob3ob2o2bo2b7o3b2ob6o
2bob2o7bo6b2obob3o3b2o5b2obo2bo2bobo8bo2bob2o2b3o5bo2bobob2ob2obo2bob
2o2bo5b2obo2bo4bo5b3o3b4ob3o3bo3b2obo2$bobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo!

[Kiran]

If you run the attached pattern with the speed set to 2^8 (change the base step) and pressing "tab" repeatedly instead of running it, you will see that the wiggly lines clear up in the first few thousand generations, leaving two active boundaries.
The topmost boundary would evolve for a while, but appear to freeze at generation 4096 (the spots on the top/bottom edge eventually fill in):

Code: Select all

x = 512, y = 512, rule = B4678/S35678:T512,512
47b152o188b74o$46b153o187b76o$46b154o187b75o$46b154o187b74o$45b157o
185b74o$46b156o185b76o$45b158o184b75o$45b159o182b76o$46b160o180b76o$
45b161obo177b78o$45b165o174b80o$46b164o174b79o$44b168o171b80o$44b170ob
obo166b80o$43b176o164b83o$43b178o160b86o$42b179o4b2o153b87o$42b190o
148b86o$41b192o148b86o$41b195obo143b87o$41b43o2b152o142b89o$39b45o2b
154o138b91o$39b202o137b92o$37b206o134b93o$36b208o132b95o$36b208ob2o
129b95o$35b213o127b96o$32b220o121b99o$31b223o118b100o$31b73o2b149o116b
102o$30b74o2b149o115b104o$29b75o2b151o113b105o$28b76o2b153o110b107o$
27b234o108b108o$26b235obo105b110o$25b238o104b112o$22b243o101b116o$20b
247o97b119o$19b248o96b123o$19b250o92b127o$15b256o90b131o$13bob256o88b
134o$11b262o86b137o$8b265o84b141ob2o$4b271o82b144o2bobo$b275o74bobo3b
155o$276obo72b162o$278o2bo66b165o$282o62b168o$283o60b169o$284o57b171o$
286o53bob171o$286o52b174o$288obo48b174o$291o39b3obo2b175o$292ob2o24b2o
2bo3b2ob182o$298o12bobo2b2ob194o$298obobo3b2obob202o$512o$512o$512o$
24ob487o$23o5b484o$23o5b484o$26ob485o$512o$512o$512o$512o$512o$512o$
242o2b268o$242o2b268o$512o$124o4b2o3b3o2b3ob370o$122o20bo2b268ob5o2bob
o4bob82o$112o3b2o3bo28b2ob253o2b2obo19b4ob77o$111o42b213o3b33o34b76o$
110o43bob211o3b32o36b75o$109o47b244o39b73o$109o51bobobob233o46b2ob64o$
103ob3o60b230obo16b2o32b63o$98o71b149o2b77o18b2o32b5o2bobo3bo2bo3b2ob
40o$94obo75bo2b2o2b2ob6o2bob2ob3o2b119o2b75o77b2obo2b34o$92o111bobo2b
2ob183o85b33o$91o122b180o89b30o$91o125bobo2b170o93b28o$89o132b168obo
93bob2ob23o$87o137b2ob2o3b156o102b22o$83obo147b156o102b22o$83o85b2o63b
151obo105bob19o$81o87b2o66b147o110b2obo2b13o$79o157b146o120bob8o$ob74o
bo161b143o122bobobo2bo$3bob68obo165b140o$12b3ob2o4b2ob47o169b135ob2o$
25bo3b7o2bob2o4b18o2bo174b3obo2b125obo$46b8obobo2bobo187bobobo5bo2b2ob
3o2b2obobobob92o$281bo4b85o$286bob2o2bob77o$295bob72o$297b71o$298b67o$
304bob59o$311b53o$313b49o$317b43o$320b5ob32obo$327bobo2b5o2bob12obo2bo
$344bobobobobo6$405b2o2bo$405b6o$404b6o$182bob4ob5o2bo6b2o2bo3b3o2bo
185b9o$177bo2b38ob2o182b6o$177b45o180b6o$158b2o2b8ob4ob46ob2o2bo175bo
2b2o$156b79obo$156b83o$149b2o2b87o$146bob94o$144bob97o241b2o$137bob4ob
100o240b2o$132bo3b108o$131b114o2b2o$129b123o$128b126o$126b128o$124b
132o$120b137o$117b141o$113b147o$19b2o84b2obo2b152o$19b2o84b158o$103b
162o$103b162o$102b165o$101b167o2b2o$95bobo2b174o$93bob179o$91b185o$90b
188o$33b2o54b191o$33b2o54b191o$86b195obo2b2o$85b203o198b2o$81b2o2b203o
198b2o$81b209o179b2o$79b211o179b2o$76bo2b212o$75b220o$74b222o$72b225ob
obo$71b232o94b4o3b2o$69b235o89b2o2b11o$69b237o84bob21o$68b241o72b2o2bo
2b26o$67b50o2b191o69b36o2bo$66b51o2b193obo56bobobo2b44o$64b251o43b2obo
2bo2b55o$63b252o4b4o34b65o$62b262o13bob2obo2b4obobo3b67o$62b263ob6ob
93o$60b366o$59b370o$58b372o$58b373o$58b373o$56b377o$57b159o2bo2bobo2bo
b205obo$56b152obo2b2o16b205obo$56b139obob2o3bo2bo24b2ob203o$55b137obo
41b205o$54b136o46b206o$54b132ob3o48b205o$54b132o54b203o$55b128o62b200o
$54b24o2b103o63b201o$55b23o2b101o65b202o$55b126o66bob201o$55b125o70bob
198o$54b123o76b198obo3bo$55b121o77b204o$55b121o79bob202o$55b119o83b81o
b121o$55b119o85b77o5b121o$55b117o88b76o5b122o$55b116o89b75o5b19o2b103o
$56b113o92b75o3b20o2b103o$55b114o93b203o$55b113o94b204o2bobo$56b5o2b
101o98b209o$55b6o2b101o99b211o$55b4o4b100o101b211o$55b4o4b99o104b209o$
56b105o106b209o$56b104o107b212o$56b102o111b211o$57b100o112b211o$57b96o
b3o112b212o$57b94obo117b214o$59b92o120b213o$58b90o125b212o$58b90o125b
213o$59b88o128b213o$60b84o131b213o$62b78ob2o134b213o$62b78o138b212o$
64b72obo140b212o$65b71o143b213o$66b62obob3o146b212o$68b57o156b212o$68b
55o159b211o$71b51o159b213o$71bob46o163b213o$75b2ob40o164b213o$80b35o
168b211o$80b2o3b29o169b212o$88b2o2b14o5bo172b210o$92bo6b2o2b2o180b210o
$286b209o$287b207o$286b209o$286b208o$288b206o$287b207o$288b207o$288b
207o$288b206o$206b2o81b204o$206b2o83b169o2b30o$291b169o2b29o$291b201o$
291b201o$292b32o2b165o$291b33o2b166o$35bo256b200o$34b3o255b199o$33b5o
254b198o$34b3o256b198o$35bo258b197o$294b196o$295b195o$275b2o20b192o$
275b2o21b191o$298b190o$205b3o89b191o$205b3o89b190o$297b188o$104bo193b
186o$104b3o192b185o$102b5o192b184o$102b3o195b182o$104bo196b180o$301b
181o$301b181o$301b180o$303b177o$303b175o$305b172o$305b172o$304b64o2b
17o2b86o$305b63o2b17o2b86o$305b170o$305b72o2b95o$305b72o2b94o$307b166o
$307b165o$308b164o$308b163o$310b161o$310b160o$310b159o$310b158o$309b
158o$151bob4o153b22o2b131o$147b13o151b21o2b83o2b46o$144b17o150b21o2b
83o2b45o$142b20o148b22o2b18o2b109o$142b22obo144b42o2b87obob19o$140b27o
144b130o4b16o$139b32o142b127o4b16o$138b33o143b127obob16o$137b36o140b
146o$135b39o140b146o$135b39o141b144o$133b42o140b143o$132b45o139b141o$
101b2o26bo2b46o138b140o$101b2o26b49o139b138o$128b50o139b136o$127b52o
137b137o$125b54o138b134o$124b57o135b134o$123b57o136b134o$122b59o136b
132o$122b61o134b132o$120b64o133b131o$119b64o135b130o$118b67o134b129o$
117b67o134b128o$117b68o122b2o11b125o$116b68o123b2o12b124o$116b69o136b
123o$117b68o136b123o$115b70o136b122o$116b69o137b121o$115b70o136b121o$
113b72o137b119o$113b72o137b119o$113b71o137b120o$113b72o137b118o$111b
74o137b118o$111b74o138b116o$110b75o137b117o$108b77o139b117o$108b77o37b
2o99b118o$107b77o38b2o52b2o46b117o$106b78o38b2o52b2o45b118o$107b76o
140b119o$106b78o140b117o$105b22ob2ob52o141b117o$105b19o9b49o141b120o$
104b20o9b49o140b121o$103b22o8b49o141b122o$102b22o10b48o140b122o$102b
24o7b48o140b124o$101b26o4bob48o139b125o$100b82o137b127o$100b81o138b
129o$98b82o138b130o46bo2b2ob4ob2o$2o96b83o137b133o42b19o$2o94b84o93b2o
42b135o38b22o$5o91b83o94b2o42b136o33bob24o$8o3bo83b85o138b135obo22bob
2o2bob27o$12o82b86o138b52ob27o2b55o15b42o$14o79b87o137b52o4b25o2b60obo
7b43o$16obo73b88o138b52o4b25o2b64o3b45o$19o71b89o137b55ob140o$20o70b
87o137b198o$24o64b90o136b198o$25o62b91o135b199o$27ob2o57b90o135b200o$
32o53b93o133b201o$34o51b93o134b200o$35o49b94o133b201o$36o46b95o133b
202o$36o46b96o130b204o$38o43b96o131b204o$38o42b95o132b205o$39o3b3o32bo
b96o131b206o$45o28b102o130b207o$47o2bobo20b103o128b209o$52o5bo11bob
104o129b208o$54o2b61o2b56o128b209o$117o2b56o126b211o$175o125b212o$175o
125b212o$176o124b9o6b197o$175o124b10o6b74o2b121o$40o2b134o121b92o2b
121o$40o2b134o121b215o$175o121b216o$175o120b217o$176o117b219o$175o117b
220o$176o116b220o$176o115b221o$176o114b222o$176o113b223o$176o111b225o$
177o109b226o$178o108b226o$179o106b227o$180o104b228o$181o100b231o$182o
96b2ob231o$182o94b236o$183o92b60o2b175o$184o90b61o2b175o$185o88b239o$
186o87b239o$188o83b241o$189o80b243o$190o77b245o$191o74b247o$193o67bob
250o$194o66b252o$196obo61b253o$199obo57b254o$203o53b256o$205o48b259o$
206o44bob260o$208o42b262o$210ob2o28bobo2bob264o$216ob2o20bob271o$222ob
ob2o3b2ob279o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$119ob392o$117o5b390o$117o5b390o$
118o5b389o$119o3b373o3b14o$490obo10b10o$485o18b9o$483obo18b9o$481obo
21b8o$479o26bob5o$477o32b3o$477o33b2o$475o35b2o$b473o$b472o$2b470o$3b
469o$4b466o$6b463o$7b461o$7b460o$9b457o$9b456o$9b457o$11b453o$12b269o
2b91o2b89o$11b270o2b91o2b87o$13b450o$13b450o$13b449o$15b447o$15b446o$
15b445o$17b444o$16b445o$17b172o2b269o$19b170o2b269o$19b442o$19b442o$
21b440o$22b438o$21b438o$22b437o$23b436o$23b435o$24b115o2b318o$25b114o
2b317o$25b114o2b317o$25b114o2b316o$26b432o$27b429o$28b429o$30b425o$30b
425o$32b424o$33b422o$33b421o$34b420o$35b419o$36b419o$35b420o$36b418o$
37b418o$36b182obo2b2o2b228o$37b178o13b3o2b2ob2obobo2b2obob205o$38b177o
34b2obob200o$39b172o2bo45b195o$41b168o50b195o$41b167o54bob2ob187o$40b
166o62b2o2bo2b5o4bo2b2ob166o$41b165o86b164o$41b164o87b164o$43b161o89b
164o$42b160o93b2o2bo2b52o2b101o$43b157obo54bo2bo44b45o10b8o2b87o$43b
157o55b6o44bobo4bo2b4obo3b3ob3o2b4o5bob4o23b86o$43b155o58b6o109b86o$
43b155o57b6o112b84o$44b153o60b4o113b84o$45b152o60b4o116b81o$46b150o
181b81o$45b150o184b79o$46b149o184b80o$46b149o186b77o$46b149o187b77o$
45b150o187b76o$45b151o187b75o$46b149o190b74o$47b149o190b72o$47b150o
189b72o$46b151o190b71o$47b151o189b72o!

The lower boundary is meanwhile more curved, and gradually straightens out and freezes at generation 38656:

Code: Select all

x = 512, y = 512, rule = B4678/S35678:T512,512
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$84o2b426o$84o2b426o$512o$512o$512o$512o$
512o$512o$512o$104o2b406o$104o2b406o$104o2b406o$104o2b406o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$24ob487o$
23o5b484o$23o5b484o$26ob485o$512o$512o$512o$512o$512o$512o$242o2b268o$
242o2b268o$512o$124o4b2o3b3o2b3ob370o$122o20bo2b268ob5o2bobo4bob82o$
112o3b2o3bo28b2ob253o2b2obo19b4ob77o$111o42b213o3b33o34b76o$110o43bob
211o3b32o36b75o$109o47b244o39b73o$109o51bobobob233o46b2ob64o$103ob3o
60b230obo16b2o32b63o$98o71b149o2b77o18b2o32b5o2bobo3bo2bo3b2ob40o$94ob
o75bo2b2o2b2ob6o2bob2ob3o2b119o2b75o77b2obo2b34o$92o111bobo2b2ob183o
85b33o$91o122b180o89b30o$91o125bobo2b170o93b28o$89o132b168obo93bob2ob
23o$87o137b2ob2o3b156o102b22o$83obo147b156o102b22o$83o85b2o63b151obo
105bob19o$81o87b2o66b147o110b2obo2b13o$79o157b146o120bob8o$ob74obo161b
143o122bobobo2bo$3bob68obo165b140o$12b3ob2o4b2ob47o169b135ob2o$25bo3b
7o2bob2o4b18o2bo174b3obo2b125obo$46b8obobo2bobo187bobobo5bo2b2ob3o2b2o
bobobob92o$281bo4b85o$286bob2o2bob77o$295bob72o$297b71o$298b67o$304bob
59o$311b53o$313b49o$317b43o$320b5ob32obo$327bobo2b5o2bob12obo2bo$344bo
bobobobo6$405b2o2bo$405b6o$404b6o$402b9o$403b6o$402b6o$403bo2b2o5$484b
2o$484b2o10$19b2o$19b2o9$33b2o$33b2o2$486b2o$486b2o$469b2o$469b2o39$
333bo3b4o3b2o2bo3b3o2b2o3bobobobo$331bob37o2b3obobo$329b50o$326b55o$
324b59o$316b3o2b62o$314b72o$313b74ob4o$311b82o$309b85o$307b89o$306b91o
$303bob94obo4b2o$303b106o$302b107ob2obo$299b116o$297b119o$292b4ob119ob
4o$292b130o$290b134o$288b138o$288b139obo$286b145o$282b2ob148o$280b153o
$280b155o$277bob158obo$275bob163o$275b166o$274b168obo$273b171o$269bo2b
174o$268b180o$266b183o$266b183o$262b188o$254bo2b2o3b190o$253b200o$253b
201o$251b204o$251b205o$246bo3b206o$206b2o36b213o$206b2o35b215o$241b
218o$235bob2o2b219o$234b227o$233b91o2b136o$230b94o2b137o$35bo190bo2b
236o$34b3o188b241o$33b5o186b243o$34b3o183b2ob245o$35bo184b250o$219b
252o$218b254o$217b255o$215b258o$214b260o$205b3o5b263o$205b3o5b264o$
211b267o$104bo106b267o$104b3o102b270o$102b5o101b273o$102b3o103b274o$
104bo101b277o$206b277o$204b281o$203b283o3bo$203b288o$202b292o$201b293o
$200b297o$198b170o2b17o2b110obo$197b171o2b17o2b113obo$196b308obo$196b
181o2b127o$194b183o2b128o$194b314o$192b317o$192b318o$191b321o$3o186b
323o$3o185b324o$4o183b325o$6o179b327o$7o177b328o$7obo175b148o2b178o$
10obo170b150o2b83o2b93o$13o168b151o2b83o2b93o$13o168b151o2b18o2b158o$
15o165b172o2b87obob68o$15o164b262o4b67o$17o160b263o4b68o$17o159b265obo
b68o$19obob2o152b336o$25o149b338o$25o146b341o$26o145b341o$28o142b342o$
28o73b2o66b343o$30o71b2o65b344o$31o136b345o$32o133b347o$34o130b348o$
34o125b3o2b348o$35o2b2o2bo2b2o110bo2b353o$47obo106b357o$50o100b362o$
53o86bob2obo3bob362o$53ob2o83b373o$58o72b2ob379o$60o65bob385o$60o64b
388o$62o57bobob389o$62o56b394o$64o2bo2b3o3bo40b396o$77o37b398o$83obob
3o7b3o3b5o3b402o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$370ob27o2b112o$369o4b25o2b112o$369o4b25o2b112o$
371ob140o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$117o2b393o$117o2b393o$512o$512o$309o6b197o$309o6b74o2b
121o$40o2b347o2b121o$40o2b470o$512o$512o$512o$512o$512o$512o$512o$512o
$512o$512o$512o$512o$512o$512o$512o$512o$335o2b175o$335o2b175o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$119ob392o$117o5b390o$117o5b390o$118o5b
389o$119o3b390o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o
$512o$512o$512o$512o$512o$512o$512o$512o$512o$281o2b91o2b136o$281o2b
91o2b136o$512o$512o$512o$512o$512o$512o$512o$512o$189o2b321o$189o2b
321o$512o$512o$512o$512o$512o$512o$512o$512o$139o2b371o$139o2b371o$
139o2b371o$139o2b371o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o!

After this, both boundaries are p256 oscillators (the period is not less than that, as setting the speed to 2^7 shows changes).
Why should this be?
If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?

[BlinkerSpawn]

If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?

I would like to say that this is caused by the fact that B4678/S35678 is self-similar, so that the trough of the wave is congruent to the peak of the wave, leaving only 256 "degrees of freedom", so to speak.
However, the top boundary doesn't appear to have the sort of translational symmetry that this explanation hinges on.

[muzik]

large symmetrical sl:

Code: Select all

x = 20, y = 20, rule = B3/S012345678
9b2o$9b2o5$9b2o$7bob2obo$8bo2bo$2o4b2ob2ob2o4b2o$2o4b2ob2ob2o4b2o$8bo
2bo$7bob2obo$9b2o5$9b2o$9b2o!

[dvgrn]

If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?

I would like to say that this is caused by the fact that B4678/S35678 is self-similar, so that the trough of the wave is congruent to the peak of the wave, leaving only 256 "degrees of freedom", so to speak.
However, the top boundary doesn't appear to have the sort of translational symmetry that this explanation hinges on.

At first it didn't look like there was anything traveling around the boundaries. Was looking for something moving left or right, and there wasn't any obvious directionality. But the light bulb kind of goes off as soon as you think about XOR effects, along the lines of the B1/S bounded grid example here.

Notice that each of the isolated high points on each boundary sends a new live cell left and right on each tick. Those two ripples travel at lightspeed ... and that means they're going to meet and cancel each other out in 256 ticks, not 512.

Assuming that the XOR effect is managing to propagate on the angled sections, where it's a lot harder to see than on the flat sections, it's a little easier to see why the period can't be 512 with a minimal example:

Code: Select all

x = 512, y = 9, rule = B4678/S35678:T512,16
512o$512o$512o$512o$512o$512o$512o$512o$256bo!

It seems like a good sign for this theory, that each boundary only stabilized to period 256 just after it evolved to the point where its variation from horizontal never exceeded 45 degrees. You're not going to get lightspeed east/west ripples if there's a two-cell-high vertical cliff anywhere.

-- Drat these bounded grids anyway. By rights Golly should be totally running away with a pattern like this!

As the A268754 sequence shows (explained a little in the link above) the period could get a lot more complicated at non-power-of-two widths. Would advise starting with artificially simple examples if experimenting with other widths. These three aren't so bad --

Code: Select all

#C period 510 oscillator
x = 510, y = 9, rule = B4678/S35678:T510,16
510o$510o$510o$510o$510o$510o$510o$510o$254bo!

Code: Select all

#C period 511 oscillator
x = 511, y = 9, rule = B4678/S35678:T511,16
511o$511o$511o$511o$511o$511o$511o$511o$255bo!

Code: Select all

#C also a period 511 oscillator
x = 513, y = 9, rule = B4678/S35678:T513,16
513o$513o$513o$513o$513o$513o$513o$513o$255b3o!

-- but it seems like there might be some surprises lurking at other widths.