B3/S237

[Rhombic]

This is an interesting rule, which I thought about after reading the B3/S238 thread. It shares many common characteristics with both Life and the mentioned rule, but I found something quite significant: a pattern that may be infinitely-growing.

Code: Select all

x = 35, y = 61, rule = B3/S237
7b2o2b2o$4b3o2b2o2b3o$3bobo3b2o3bobo$3bo2b3o2b3o2bo$b2o2bo3b2o3bo2b2o$
o3bob3o2b3obo3bo$o2bo5b2o5bo2bo$bobob2o2b2o2b2obobo$obo2bob2o2b2obo2bo
bo$ob3o4b2o4b3obo$obo2bob2o2b2obo2bobo$bobob2o2b2o2b2obobo$o2bo5b2o5bo
2bo$o3bob3o2b3obo3bo$b2o2bo3b2o3bo2b2o3b2o2b2o$3bo2b3o2b3o2bo2b3o2b2o
2b3o$3bobo3b2o3bobobobo3b2o3bobo$4b3o2b2o2b3o2bo2b3o2b3o2bo$7b2o2b2o3b
2o2bo3b2o3bo2b2o$15bo3bob3o2b3obo3bo$15bo2bo5b2o5bo2bo$16bobob2o2b2o2b
2obobo$15bobo2bob2o2b2obo2bobo$15bob3o4b2o4b3obo$15bobo2bob2o2b2obo2bo
bo$16bobob2o2b2o2b2obobo$15bo2bo5b2o5bo2bo$15bo3bob3o2b3obo3bo$7b2o2b
2o3b2o2bo3b2o3bo2b2o$4b3o2b2o2b3o2bo2b3o2b3o2bo$3bobo3b2o3bobobobo3b2o
3bobo$3bo2b3o2b3o2bo2b3o2b2o2b3o$b2o2bo3b2o3bo2b2o3b2o2b2o$o3bob3o2b3o
bo3bo$o2bo5b2o5bo2bo$bobob2o2b2o2b2obobo$obo2bob2o2b2obo2bobo$ob3o4b2o
4b3obo$obo2bob2o2b2obo2bobo$bobob2o2b2o2b2obobo$o2bo5b2o5bo2bo$o3bob3o
2b3obo3bo$b2o2bo3b2o3bo2b2o3b2o2b2o$3bo2b3o2b3o2bo2b3o2b2o2b3o$3bobo3b
2o3bobobobo3b2o3bobo$4b3o2b2o2b3o2bo2b3o2b3o2bo$7b2o2b2o3b2o2bo3b2o3bo
2b2o$15bo3bob3o2b3obo3bo$15bo2bo5b2o5bo2bo$16bobob2o2b2o2b2obobo$15bob
o2bob2o2b2obo2bobo$15bob3o4b2o4b3obo$15bobo2bob2o2b2obo2bobo$16bobob2o
2b2o2b2obobo$15bo2bo5b2o5bo2bo$15bo3bob3o2b3obo3bo$16b2o2bo3b2o3bo2b2o
$18bo2b3o2b3o2bo$18bobo3b2o3bobo$19b3o2b2o2b3o$22b2o2b2o!

[dvgrn]

I found ... a pattern that may be infinitely-growing.

Just may grow indefinitely? Is there anything that might stop it? It looks as if almost all random patterns above a certain size should grow without limit in this rule.

Pi-heptominos and R-pentominos miss infinite growth by sheer bad luck -- but look what happens to a Herschel, for example:

Code: Select all

x = 3, y = 4, rule = B3/S237
o$obo$3o$2bo!

[MattA]

I just tried out this rule. It seems to create most of the same small, static and oscillating shapes as Life, but the character and appearance of the more chaotic activity seems to be altered somewhat.Also, the activity doesn't seem to die down as quickly. I think that the "7" has some subtle impacts.

[MattA]

Indeed, the chaotic activity seems to increase significantly. I can not quantify it, but it is certainly more than the regular Game of Life yields. I used Cellular Explorer to flip an automaton between rules in mid run (starting from a random state), and each time I changed to this rule (B3/S237), the activity increased, and it decreased upon a return to Game of Life (B3/S23).

[drc]

This is a slightly explosive rule, and I have found something interesting, a tiny r to boat catalyst and an alternate catalysis ofsomething.

Code: Select all

x = 15, y = 28, rule = B3/S237
12bo$10b3o$9bo$9b2o$2o$2bo$3bo4b2o$3bo4b2o$3bo$2bo$2o10$14bo$12b3o$11b
o$11b2o2$bo$b2o7b2o$2o8b2o!

A for awesome discovered this p4:

Code: Select all

x = 10, y = 15, rule = B3/S237
o8bo$3o4b3o$3bo2bo$2bo4bo$2bo4bo2$3bo2bo$2bob2obo$3bo2bo2$2bo4bo$2bo4b
o$3bo2bo$3o4b3o$o8bo!

[drc]

Block mover with unfortunate cleanup:

Code: Select all

x = 13, y = 10, rule = B3/S237
o$b3o$3bo4b2o$3bo4b2o$2bo2$9b2o$9bo$10b3o$12bo!

[drc]

*sigh*

Code: Select all

x = 13, y = 10, rule = B3/S237
9b2o$9b2o3$2o$b2o$bo7b2o$9bobo$11bo$11b2o!

[carsoncheng]

P64:

Code: Select all

x = 16, y = 16, rule = B3/S237
14b2o$14b2o9$11b2o$10bob2o$10b2o$11bo$2o$2o!

[Naszvadi]

P64:

Code: Select all

x = 16, y = 16, rule = B3/S237
14b2o$14b2o9$11b2o$10bob2o$10b2o$11bo$2o$2o!

Enough sparky to create guns using it? P30 technology is mature, here is an old gun that works in several life-like rules: B3/S237 - B38/S237

Code: Select all

x = 73, y = 65, rule = B3/S237
7b2o$8bo$8bobo4bo$9b2o2b3o$12bo3bo$12bo4b3o$12b2obob3o$14bo3b2o21b2o$
41bo$39bobo$28b2o9b2o$2o24b5o3bo$bo23bo4bo2bobo$bobo21bo2b3o2bobo$2b2o
21b2o2bo$12b4o11b2o$7b3o2bo2b2o$8b2o3bo2b2o$13bo2bo11bo$14b2o13bo$27b
3o6$36bo$34bobo$35b2o5$43bo$44bo$42b3o6$51bo$49bobo$50b2o5$58bo$59bo$
57b3o6$66bo$64bobo$65b2o3$69b2o$69bo$70b3o$72bo!

[Bullet51]

P16:

Code: Select all

x = 11, y = 11, rule = B3/S237
5bobo$4b2o2bo$9bo$5b2o3bo$bo5bo$2obo3bob2o$3bo5bo$o3b2o$bo$2bo2b2o$3bo
bo!

P38:

Code: Select all

x = 14, y = 14, rule = B3/S237
6b2o$6b2o3$8bo$4b2ob2o$2o3bo6b2o$2o6bo3b2o$5b2ob2o$5bo3$6b2o$6b2o!

[Game of Life Fun]

These p12 rakes work:

Code: Select all

x = 179, y = 138, rule = B3/S237
141bo$140b3o$139b2o3bo$136b2o3b4o19b3o$32bo102b2o3bobo2bo17bo2bo$31b3o
100b2o12bo13b3o2bo$30b2o3bo97b2o2b2o5bo2b3o11bo4b6o$27b2o3b4o19b3o76bo
9bo4b2o9bo2bo4b2o2bo$26b2o3bobo2bo17bo2bo75b2o11bobobo6b6o6bo3bo$25b2o
12bo13b3o2bo72b2obobo12b2o6bo3bo11bo$24b2o2b2o5bo2b3o11bo4b6o69bobob2o
18bo2b2o10bo$25bo9bo4b2o9bo2bo4b2o2bo65b2obobo3bo17b2o14bobo$24b2o11bo
bo8b6o6bo3bo64b2o3bo34b2obob2o$22b2obobo20bo3bo11bo64b3obo3b2o30b2obob
obo$23bobob2o19bob2o10bo65b2o24bo14bo2bo3b2o$20b2obobo3bo14bo18bobo86b
obo13b2o2bobo3bo$20b2o3bo16bobo15b2obob2o86b2o20bo$20b3obo3b2o13bobo
14b2obobobo109b2o$19b2o39bo2bo3b2o$59b2o2bobo3bo$66bo$68b2o2$157bo$47b
o15b3o89bobo$45bobo15bo2bo89b2o$46b2o13bo4bo$60b2obo2bob3o$61bobo4bo2b
o$56b3o9bo3bo$55bo2bo13bo$55bo4bo9bo$54b3o14bobo$50bo2b2o13b2obob2o$
48bobo2b2o13b2obobobo$49b2o17bo2bo3b2o$67b2o2bobo3bo16bo$74bo18b3o$54b
o21b2o13bo3b2o$12b3o39bo14b3o19b4o3b2o$11bo2bo35bo3bo14bo2bo17bo2bobo
3b2o$11bo4bo20bo12bo17bo2b3o13bo12b2o$7b3obo2bob2o18b3o25b6o4bo11b3o2b
o5b2o2b2o$6bo2bo4bobo17bo3b2o23bo2b2o4bo2bo9b2o4bo9bo$5bo3bo9b3o12b4o
3b2o11bo7bo3bo6b6o8bobo11b2o$5bo13bo2bo10bo2bobo3b2o10bo7bo11bo3bo20bo
bob2o$7bo9bo4bo7bo12b2o9bo9bo10b2obo19b2obobo$4bobo14b3o5b3o2bo5b2o2b
2o15bobo18bo14bo3bobob2o$3b2obob2o13b2o3b2o4bo9bo15b2obob2o15bobo16bo
3b2o$2bobobob2o13b2o5bobo11b2o13bobobob2o14bobo13b2o3bob3o$b2o3bo2bo
16b2o14bobob2o6bo3b2o3bo2bo39b2o$o3bobo2b2o16bo13b2obobo7bo2bo3bobo2b
2o$3bo36bo3bobob2o4bo5bo$2o42bo3b2o7b2o$40b2o3bob3o$49b2o$26bo27bo24bo
$27b2o25bo24bobo$26b2o26bo24b2o4$54bo$54bo$54bo$29bo46bo$30b2o44bobo$
29b2o45b2o$54bo$54bo$54bo4$32bo21bo18bo$33b2o19bo18bobo$32b2o20bo18b2o
4$54bo$54bo$54bo$35bo34bo$36b2o32bobo$35b2o33b2o$54bo$54bo$54bo4$38bo
15bo12bo$39b2o13bo12bobo$38b2o14bo12b2o4$54bo$54bo$54bo$41bo22bo$42b2o
20bobo$41b2o21b2o$54bo$54bo$54bo4$44bo9bo6bo$45b2o7bo6bobo$44b2o8bo6b
2o4$54bo$54bo$54bo$47bo10bo$48b2o8bobo$47b2o9b2o$54bo$54bo$54bo4$49b4o
$49bo3bo$49bo$50bo2bo3$43b4o$43bo3bo$43bo$44bo2bo! [[ STARS TRACK 0 -1/2 ]]

C/2 puffers. Especially p20 block puffer and p40 HF puffer (IT sparks sidely)

Code: Select all

x = 135, y = 80, rule = B3/S237
3o11b3o$o2bo10bo2bo15b3o11b3o$o6b3o4bo18bo2bo10bo2bo13bo13bo$o5bo2bo4b
o18bo6b3o4bo15b3o11b3o23b3o11b3o$bobo2bo3bo4bobo15bo5bo2bo4bo15bob2o4b
o5bob2o22bo2bo10bo2bo$5b2obobo23bobo2bo3bo4bobo13b3o3b3o5b3o22bo6b3o4b
o$5b2ob2o28b2o2bobo19b2o3b2obo5b2o23bo5bo2bo4bo$6b3o31bo63bobo2bo3bo4b
obo$41b2obo65b4o$17bo23b3o68bo$6b2ob2o5b3o22b3o6bo12b3o3bo34bo$9bo5b2o
bo30b3o11bo2bo5bo30b3o$7bo3bo3b3o30b2obo11bo7bo30b2obo3bobo$6bobo2b2o
3b2o30b3o12bo7bo2bo27b3o4bo2b2o$49b2o13bobo36b2o7bo$39b2o3b2o24bo36b2o
2bo$39b2o3b3o26bo33bo3bo$44bobo24b2o$6b2o38b2o$6b2o34bo2b2o$43b4o$44bo
72bo13bo$43bo72b3o11b3o$42bobo66b2o2b2obo5bo4b2obo$41bobo67b2o2b3o5b3o
3b3o$42bo2bo70b2o4bo2b2o3b2o$35bo8bo77b2ob2o$34b3o84b3o2bo$34bob2o3b2o
79b2obo$35b3o3bo81bo$35b2o3bobo80bobobo$40bobo81bobo5b3o$41bo83bo5bo2b
o$111b2o21bo$111b2o21bo$131bobo$50bo71b2o3bobo$49b3o70b2o2bo2bo$48b2ob
o75bo$48b3o79bo$49b2o75bo$126bo2bo2$111b2o13b2o$42b2o67b2o12bobo$42b2o
80bob2o$125b3o3$124b2o$123bo$123bobo$123bobo$38b2ob2o68b2o11bo$37bo3bo
69b2o$38bo$38bob2o$39bo2bo$40b3o5$111b2o$42b2o67b2o$42b2o70b3o$114bo3b
2o$114b4o$116b2o$122bo$118b2obobo$118b2obob2o3b2o$123bo3bobo$111b2o7bo
bo5bo$111b2o8bo2$43bo$42bobo$42bo2bo$43b2o! [[ STARS TRACK 0 -1/2 ]]

[WhiteHawk]

This thread is a duplicate of one that already exists. Can some admin please merge the two? (EDIT: This one is actually the "original") Done. It wouldn't matter which one was merged into which because the timestamps stay in chronological order. — hotdogPi

This is a slightly explosive rule, and I have found something interesting, a tiny r to boat catalyst and an alternate catalysis ofsomething.

Code: Select all

A for awesome discovered this p4:

Code: Select all

EDIT: Some known oscillator periods up to p19 (lowest missing period), unsorted.

Code: Select all

x = 156, y = 56, rule = B3/S237
18b5o$18bo3bo$47b3o$47b3o63bobo$45b2o2b3o64bo$4b2o4bo34b2o65bo4bo2b2o
$5bo4bo20bo8bo4b3o64b2obo2bob2o$2bo7bo20b3o4b3o6bo51bo2bo13b2o$2b2o30b
o2bo9bo55bo$33bo4bo59bo5bo$23bo9bo4bo59b2o4bo45b2o$18b4o3bo62bo2bo11b
o28bo17bo2bo$3bo5b2o10bo3bo8bo2bo8bobo39bo13bo25b2o3bo12bo4bo3bo$4b2o
5bo13bo7bob2obo10bo37bo4bo8b4obo21bo5bob2o9b2o3bob2o$2b2o4bo13bo11bo2b
o7bo2bo23bo2bo10bobo2b2o8bo3bo19b2obobo6bo$4bo4b2o12b2o19bobobo12b2o9b
o2bo8b2obo11bo3bo12b3o6b2obob2ob4o6b2obo3b2o$33bo4bo5bo2bo11bo4bo5b2o
b2ob2o20bob4o12b3o9bobo12bo3bo4bo$33bo4bo6b2o12bo4bo7bo2bo26bo13b3o9b
obob3o10bo2bo$34bo2bo21bo4bo7bo2bo8bo2bo13bo11b3o13bobo3bo11b2o$31b3o
4b3o19bo2bo6b2ob2ob2o8b2o12bo4b2o6b3o15bo2b2o$31bo8bo17bobo2bobo6bo2b
o24bo5bo6b3o15b2o$58b2o4b2o6bo2bo25bo$102bo2bo3$142bo$138b4obo$8b2o11b
2o115b3obobo$8bo12bo121bobo$9bo12b3o80bobo16bo19bo$8b2o14bo79b2o2bo14b
obo17b2o$25b2o12b2o41b2o25bo13bobo3b2o12b2o3bo$26bo12bo4b2obo12b2o19b
obo21b2o3bo9b2obob2o3bo12b2o2bobob2o$36b2obobo3b2obo6b2o2b2obo5b2o11b
obob2o14bo5bo13bobo6bob2o17b2o$5bo15bo2bo3b2o6bobob2obo4bo6b2o3bobo5b
2o9b2obobo2bo12b2obo3bob2o8bo2bobob3obo2bo$5b2o12b3o2bo4bo8bo3bob4o14b
o15bobobo3bobo14bo5bo9b2obobo4bobo$2obobob3o8bo4bo5bobo6bo3bo4bobo14b
o10bo2bobobo2b2o2bo10bo3b2o16bobo2b2o2b2o12bo2bo$ob2obobobo9b3ob2o5b2o
5b2obobob2o2b2o25b3o2bobo4b2o12bo20bobo3bobo14bo$6bo2b3o9bobo12bo2b2o
bobo19bo13b2o4bobo15bo2b2o16b2obobobo13bo4bo$7b2o3bo8bobo13bo3b2obo17b
o14bo2b3o3bo16bobo19bobobo13bobo2b2o$9b3o10bo15b2o3bo11b2o3bobo5b2o8b
o4b3o39bobo13b2obo$9bo30b3o12b2o2b2obo5b2o9b3obo42b2o$40bo19b2o19b2o$
141bo2bo$143b2o3$106b2o$103bo2b2o$102bo4bo$102bo4bo$107bo$101b2obobo$
101b2ob2o2$106b3o!

Some period examples above that, unsorted

Code: Select all

x = 97, y = 58, rule = B3/S237
90bo$19bo2b2o12b2o40bo9b3o$18bobo2bo12b2o28bo11b3o6bo$18bobobo43b3o5b
2o5bo5b2o$2ob2o12b2obob2o8bo18b2o5b2o9bo4b2o4b2o$o16bo2bo3bo6bobo17bo
7bo8b2o$b2o2bo3b3o5b3o2b2obo6bo3b3o9b2obo7bob2o22bobo$2b3o4bobo5b4o4b
o14bo7bo2b2o5b2o2bo22bobo$2b3o4b3o5b3o2b3o11bo4bo7b2o6bo2b2o7b2o14b3o
3b2o$b2o2bo11bo2bo15bo3bo10b3o4b2o9b2o3b3o14b2o$o16b2obob5o10bo3bo9bo
4bo2bo14bobo$2ob2o13bobo2bo2bo9bo4bo10b7o15bobo$8bo3bo5bo2bo15bo54b2o
$8b5o6b2o18b3o3bo8b3o23b2o4b2o4bo$10bo33bobo7bo2bo15b2o5bo5b2o5b3o$9b
obo33bo10b2o16bo6b3o11bo$10bo60b3o9bo$8b5o27b2o29bo$8bo3bo27b2o13$15b
2o$16bo$16bobo4bo$17b2o2b3o$20bo3bo$20bo4b3o$20b2obob3o67b2o$22bo3b2o
21b2o44b2o$49bo$47bobo13b2o$36b2o9b2o14b2o$8b2o24b5o3bo$9bo23bo4bo2bo
bo$9bobo21bo2b3o2bobo21bo$10b2o21b2o2bo23b2ob2o$20b4o11b2o20b2o3bo6b2o
$15b3o2bo2b2o32b2o6bo3b2o21b2o$16b2o3bo2b2o36b2ob2o24bob2o$21bo2bo11b
o25bo28b2o$22b2o13bo54bo$35b3o43b2o$63b2o16b2o$63b2o$40b2o$40bobo$42b
o$42b2o!

Lastly, some transferred guns (p21 works, but using 34p7 instead of 38p7.2)

Code: Select all

x = 58, y = 23, rule = B3/S237
2bo43b2o4b2o$2b3o41bobo2bobo$5bo42bo2bo$4b2o8bo2b2o28b2o2b2o$13bo3b2o
2b2o23b3o2b3o$13bo7b2o25bo2bo$14b4o23b2o$42bo6bo$9b2o31bobo$9bo2bo27b
2ob2o2b3o$b2o7b3o26bobo5b2obo$o2bo7bo9b3o15bobo8b3o2bobo$obobo16b3obo
11b2obob2o3b2o3b2o3bo$bob3o16bobobo11bobo3bo5bo6bo$3b3o9bo7bo2bo11bob
ob2o7bo4bo$14b3o7b2o9b2obobobo10b2o$14bo2bo17bo2b2obo$16b2o19bo4bo$38b
5o$9b4o$4b2o7bo23bob2o$4b2o2b2o3bo23b2obo$8b2o2bo!