Hexagonal self-complementary rules

[Yoel]

I did some research on hexagonal self-complementary (Day&Night-like) R1 rules. It is a very small space and I believe I've more or less discovered all the interesting ones. Some are quite promising. Several of such rules closely resemble Hexrule b2o (B2o/S2m34h), which has been already studied by a number of people. One, B2o3-o4-m56/S2m3o4-o56H, is perfectly apgsearchable; it has many oscillators, gliders and puffers. Guns:

Code: Select all

x = 94, y = 67, rule = B2o3-o4-m56/S2m3o4-o56H
5$59bo$56bob2o$58bobo7bo$56b4o7b4o$56b5o7b3o$51bo4b5o7b4o$47b5o3bob4o
2bo6bo$47b7o2b7o$47b6o3bob7o$47b6o4b7obo$46b7o11b2obo$48b5o7b2o2b3o$
48bo4b2o4b4ob3o$53b3o5b2ob6obo$47bo6b3o4bo2b7ob2o$42bob3ob2o5b2o7b9o$
44b5obo13bob5o$42b9o7b2o5b2ob3obo$41b2ob7o2bo4b3o6bo$43bob6ob2o5b3o$
48b3ob4o4b2o4bo$48b3o2b2o7b5o$31bo15bob2o11b7o$28bob2o17bob7o4b6o$30bo
bo17b7obo3b6o$28b4o20b7o2b7o$28b5o18bo2b4obo3b5o$23bo4b5o21b5o4bo$19b
5o3bob4o2bo18b5o$19b7o2b7o20b4o$19b6o3bob7o17bobo$19b6o4b7obo17b2obo$
18b7o11b2obo15bo$20b5o7b2o2b3o$20bo4b2o4b4ob3o$25b3o5b2ob6obo$19bo6b3o
4bo2b7ob2o$14bob3ob2o5b2o7b9o$16b5obo13bob5o$14b9o7b2o5b2ob3obo$13b2ob
7o2bo4b3o6bo$15bob6ob2o5b3o$20b3ob4o4b2o4bo$20b3o2b2o7b5o$19bob2o11b7o
$21bob7o4b6o$22b7obo3b6o$24b7o2b7o$16bo6bo2b4obo3b5o$15b4o7b5o4bo$16b
3o7b5o$16b4o7b4o$18bo7bobo$27b2obo$27bo!

Code: Select all

x = 105, y = 62, rule = B2o3-o4-m56S2m3o4-o56H
4$56bo$55bobo$55b3o$54b2obo8b2o$53b6o7b3o$45bo6bob5o8b2o$44b4ob2o3b6o$
45b6o3b9o$45b5o5b6o$46b5o5b2ob4obo$45b6o7bo2b2obo$45b2ob4o7b2ob3o$50b
4o4b3ob4o$44bo6b3o4b2obob5o$43bo7b4o2bo4b9o$42b5o6b2obo5b6obobo$40b8o
7bo7b8o$39bobob6o5bob2o6b5o$40b9o4bo2b4o7bo$43b5obob2o4b3o6bo$27bo17b
4ob3o4b4o$26bobo17b3ob2o7b4ob2o$26b3o17bob2o2bo7b6o$25b2obo17bob4ob2o
5b5o$24b6o20b6o5b5o$16bo6bob5o18b9o3b6o$15b4ob2o3b6o20b6o3b2ob4o$16b6o
3b9o18b5obo6bo$16b5o5b6o20b6o$17b5o5b2ob4obo17bob2o$16b6o7bo2b2obo17b
3o$16b2ob4o7b2ob3o17bobo$21b4o4b3ob4o17bo$15bo6b3o4b2obob5o$14bo7b4o2b
o4b9o$13b5o6b2obo5b6obobo$11b8o7bo7b8o$10bobob6o5bob2o6b5o$11b9o4bo2b
4o7bo$14b5obob2o4b3o6bo$16b4ob3o4b4o$17b3ob2o7b4ob2o$17bob2o2bo7b6o$
17bob4ob2o5b5o$21b6o5b5o$19b9o3b6o$22b6o3b2ob4o$13b2o8b5obo6bo$13b3o7b
6o$14b2o8bob2o$24b3o$24bobo$25bo!

Another one, B2o3m4-m56/S2m3-m4-o56H, tends to infinitely grow due to interesting messy replicating puffers:

Code: Select all

x = 24, y = 29, rule = B2o3m4-m56/S2m3-m4-o56H
9$11bo$11bobo$11bobob2o$11bobo3bo$11bobo4bo$11bobo5bo$12bo3b4o$13bo$
14bo!

My favorite of those that actually resembles Day&Night (equally chaotic with diverse natural objects) is B2-m3-o4-m56/S2m3o4m56H. Unfortunately, it's not apgsearchable, because often enough it produces a spacefiller. It also has greyships of arbitrary large size:

Code: Select all

x = 394, y = 353, rule = B2-m3-o4-m56S2m3o4m56H
98$90bo$90bobo$90bobobo$90bobobobo$92bobobobo$94bobobobo$94bobobobobo$
94bobobobobobo$94bobobobobobobo$94bobobobobobobobo$96bobobobobobobobo$
98bobobobobobobobo$98bobobobobobobobobo$98bobobobobobobobobobo$98bobob
obobobobobobobobo$98bobobobobobobobobobobobo$100bobobobobobobobobobobo
bo$102bobobobobobobobobobobobo$102bobobobobobobobobobobobobo$102bobobo
bobobobobobobobobobobo$102bobobobobobobobobobobobobobobo$102bobobobobo
bobobobobobobobobobobo$104bobobobobobobobobobobobobobobobo$106bobobobo
bobobobobobobobobobobobo$106bobobobobobobobobobobobobobobobobo$106bobo
bobobobobobobobobobobobobobobobo$106bobobobobobobobobobobobobobobobobo
bobo$106bobobobobobobobobobobobobobobobobobobobo$108bobobobobobobobobo
bobobobobobobobobobobo$110bobobobobobobobobobobobobobobobobobobobo$
110bobobobobobobobobobobobobobobobobobobobobo$110bobobobobobobobobobob
obobobobobobobobobobobo$110bobobobobobobobobobobobobobobobobobobobobob
obo$110bobobobobobobobobobobobobobobobobobobobobobobobo$112bobobobobob
obobobobobobobobobobobobobobobobobobo$114bobobobobobobobobobobobobobob
obobobobobobobobobo$114bobobobobobobobobobobobobobobobobobobobobobobob
obo$114bobobobobobobobobobobobobobobobobobobobobobobobobobo$114bobobob
obobobobobobobobobobobobobobobobobobobobobobobo$114bobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$116bobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$118bobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$118bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobo$118bobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obo$118bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
118bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
120bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
o$122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$122bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobo$124bobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$126bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$126bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo$126bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$126bobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobo$126bobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
128bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$130bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$130bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$130bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$130bobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobo$130bobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$132bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$134bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$134bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo$134bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$134bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$134bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$136bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$138bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobo$138bobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
138bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$138bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
138bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$140bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$142bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$142bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$142bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$142bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$142bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$144bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo$146bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$146bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$146bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$146bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$146bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo$148bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$150bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$150bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$150bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$150bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$150bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$152bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$154bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
154bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$154bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$154bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$154bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$156bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$158bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
158bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$160bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$162bobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$162bobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$162bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$162bobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$162bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$164bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobo$166bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$166bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$166bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$166bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$166bobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo$168bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$170bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$170bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$170bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$170bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$170bobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobo$172bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$174bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
174bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$174bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$
174bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$174bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$176bobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo$178bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobo3bo$178bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo$178bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$
178bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$178bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo3bo$180bobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobo$182bobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo3bo$182bobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$182bobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo3bo$182bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobo$182bobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobo3bo$184bobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$186bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo3bo$186bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobo$186bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$186bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo$186bobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobo3bo$188bobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
190bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo3bo$190bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo$190bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobo3bo$190bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$190bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobo3bo$192bobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobo$194bobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo3bo$194bobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$194bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo3bo$194bobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobo$194bobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo3bo$196bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
198bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo3bo$198bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobo$198bobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobo3bo$198bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$198bobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo3bo$200bobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobo$202bobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobo3bo$202bobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$202bobobobobobobobobobobobobobobobobobobobobobobobob
obobo3bo$202bobobobobobobobobobobobobobobobobobobobobobobobobobobo$
202bobobobobobobobobobobobobobobobobobobobobobobobobo3bo$204bobobobobo
bobobobobobobobobobobobobobobobobobobo$206bobobobobobobobobobobobobobo
bobobobobobobo3bo$206bobobobobobobobobobobobobobobobobobobobobo$206bob
obobobobobobobobobobobobobobobobobo3bo$206bobobobobobobobobobobobobobo
bobobobobo$206bobobobobobobobobobobobobobobobobo3bo$208bobobobobobobob
obobobobobobobobo$210bobobobobobobobobobobobobo3bo$210bobobobobobobobo
bobobobobo$210bobobobobobobobobobobo3bo$210bobobobobobobobobobobo$210b
obobobobobobobobo3bo$212bobobobobobobobo$214bobobobobo3bo$214bobobobob
o$214bobobo3bo$214bobobo$214bo3bo$213bo$214bobo$215bo$216b2o!

Similar ships and related spacefillers commonly emerge in some other chaotic rules, including B2o3m4-o56/S2o3-m4-o56H and B2o3-o4-o56S2o3o4-o56:

Code: Select all

x = 23, y = 25, rule = B2o3-o4-o56/S2o3o4-o56H
ob2obobob6obo3b3o$2o2bob3obob2ob2obobo$o2b3o2bob2o2b3ob2obo$bobobo3bo
2b6ob3o$b7ob9o2bobo$b4obob7o2b5o$3ob2obob2obob9o$o3bo2bob2ob6o3b2o$5ob
2ob3ob7o2bo$15obob2obo$o2b3ob8o3bob3o$3b3obob6obo2b3o$6ob2obob3o2b6o$
3o2b2o3bobo3b3ob3o$2b2obo2b5ob2ob2o3bo$3o2b4obob11o$ob6o4bo2b2o2b3o$ob
3obo3b2ob3ob2o2b2o$2obob4ob4o3b5o$5o2bob6obo3bo$o5b3obob3o2b2o3bo$2bob
3o3bob7ob2o$o2b4ob5obobo2bobo$2o3b2o2b5obo2bobobo$3o2b3ob4o2b2obo!

Code: Select all

x = 23, y = 25, rule = B2o3-o4-o56/S2o3o4-o56H
3o2b2obob2ob2ob2o2b3o$3obob2o2b3obo4bo$2b2ob3o2bob2o3b3o2bo$o2bob4o2b
3ob4ob3o$obob2obobobobob2ob2o2bo$bob2o2bob5obo2bob2o$2bob2o4b3ob2ob3ob
2o$3o3b4obob5obob2o$ob3obob3obob2o2b2obo$2b2ob2ob2ob5o2bo2bo$2ob3ob3ob
o2b4o3bo$3o2b4o2b4o3b3obo$bobob3ob5ob2ob3o$bo2b6obobo4b5o$ob3o2b2obob
2o4bob3o$2obo2bobob4ob3o4bo$5o2bobobob6o3bo$6obo3b12o$ob4ob3ob3ob3ob4o
$2b7o2bo4b6o$2ob2o2b3o5b3ob3o$bobobobo3bobob2obo2bo$bob2o2b4o2b2obo3b
2o$o2b2obobob2ob5ob2obo$3b2ob2obobob3obob4o!

Code: Select all

x = 23, y = 25, rule = B2o3-o4-o56/S2o3o4-o56H
5ob5obo2b2obobobo$o4bobobob5o3b2obo$obobo3b3ob2ob4ob3o$obob3o2bob2obo
2bob4o$bob2ob2obob4ob2ob4o$4o5b3ob3o2b2ob2o$2b2ob10obobo2bo$2o4b3o2b2o
b3o2b4o$ob2ob2o2bobo2b8o$b5o2b2ob2ob3obo2b2o$b3o2b2o3b3o2bobo3bo$3ob3o
bob2obo2b2obo$3o2b2ob2ob2obo4bo2bo$2ob3ob2obob2o2b4ob2o$o2b3o5b6ob3obo
$4ob3o2b3ob2o2b5o$3o3bo2bo4bobob5o$8ob5ob2ob5o$2ob3o2bob2o2b3obobo$ob
6obo4bo3b5o$5ob2o2bo2b4o3bobo$3obob11o3b3o$b2o2b2ob2o3bob2o3b3o$b3obob
2ob2o2b4o4bo$2obobo3bob3ob2ob4o!

Some other such rules resemble infinite growth patterns in Stains (B3678/S235678). These include B2o3o4-m56/S2m3-o4-o56H and B2-m3o4-m56/S2m3-o4m56H.

Code: Select all

x = 40, y = 32, rule = B2o3o4-m56/S2m3-o4-o56H
4$10bo$9b4o$5bo4b3o$4b4ob5o$5b7obo4bo$4b7o2b3ob2o$6b7ob6o$5b15o$7b14o$
7bob2obob6o$9bo4b5o$16b5obo$18b7o$18b9o$20b9o$20bob9o$22bob9o$24bob7o$
26bob4obo$28bob3obo$30bob2o$32bobo!

Code: Select all

x = 40, y = 48, rule = B2-m3o4-m56S2m3-o4m56H
11$14bo$15b2o$14b3o$16b3o$16b2o$15bob3o$16b4o$16b3obo$15bob3o$16b4o$
16b3obo$15bob3o$16b4o$16b3obo$15bob3o$16b4o$15b4obo$16b4o$16bo2b2o!

Another interesting behavior is very slow "crystallization" of random soups into blinking honeycombs, e.g. B2-o3-p4-m56/S2m3p4o56H and B2-o34-m56/S2m4o56H.

Code: Select all

x = 45, y = 41, rule = B2-o3-p4-m56S2m3p4o56H
5$7bob2o2bo4bob3ob2ob6ob3o$8b3o3b2obobob5ob3obo3b2o$7bob2ob3o2b6o3b3ob
ob5o$7b3obob2ob2ob5obobobob5o$7b6ob3ob2ob7o2b4obo$9b9o2b3ob3o2bob5o$8b
2obob4obob2o2b6o3b2obo$7b2o2bobo3b2ob4o2b6o2bo$7b3ob2obob2ob4ob2ob6ob
3o$8bob5o2b2ob4o2b2ob2obo2b2o$7bobo3bo2bo2b2obo2b3ob2obo2bo$10bob2obo
2bob3obo2bo2b5o$7bo3b2ob7ob9o4bo$7bo2b4obo2bob2ob6ob5obo$7bobobob2ob4o
bo2b7ob4o$7b4o2b3ob2o5b2obo3b2ob3o$10b4obob8o2b4obobo$8bobob3ob3ob5ob
2ob3o2b3o$8b4o3b2ob2o2b2ob4o2b2obo$7bo2b7ob4o2b3ob2ob2o2b2o$7bo2b3o2b
2ob17obo$8b2o2bobo2b2ob6ob4ob5o$10b3ob2obo3b3ob2o2b3obob2o$7b2obob2o2b
2ob3ob11obo$9bo2bo6b7ob3obo2b2o$7b10ob2o3bo4b5obobo$7bo5b3ob7obob10o$
8b3obob2obobobobobo3b2ob5o$9b6obob2ob4obob5obo$7bob7o2bo5bob7ob2o!

B2o4-p/S012p34-o56H explodes into a "network" of railroad-like puffers. Similar structures appear in non-explosive rules like B2o4-m/S012m34-o56H.

Code: Select all

x = 10, y = 10, rule = B2o4-pS012p34-o56H
2o2bob4o$2b4o3bo$obo2b2ob2o$b4ob4o$bo3b5o$2obo2bobo$2b2obob3o$obob3o2b
o$bob4obo$ob3ob2obo!

I used the following script, which I wrote to emulate isotropic non-totalistic hexagonal rules in Golly:

https://github.com/yoelmatveyev/Firewor ... unction.py

Below are ready to use ruletables. Enjoy!

https://github.com/yoelmatveyev/Firewor ... /Rules/hex

[confocaloid]

I believe the rule HexInverseFire belongs to this rulespace:

Code: Select all

x = 90, y = 90, rule = R1,C0,S2-3,6-9,11-15,B5,10-11,14-15,NW410104041H:T90,90
37$46bo$43bob3o$43b3o$44bobo$44b3o17$44bo$45bo$45bo$45bo$45bo12$44bo$
45bo$45bo$45bo$45bo$45bo!

Code: Select all

x = 90, y = 90, rule = R1,C0,S2-3,6-9,11-15,B5,10-11,14-15,NW410104041H:T90,90
90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$
90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$
90o$90o$90o$46ob43o$43obo3b42o$43o3b44o$44obob43o$44o3b43o$90o$90o$90o
$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$44ob45o$45ob44o$
45ob44o$45ob44o$45ob44o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$90o$
44ob45o$45ob44o$45ob44o$45ob44o$45ob44o$45ob44o$90o$90o$90o$90o$90o$
90o$90o$90o$90o$90o!

I was able to submit some hauls: census/b2-m4-m56s2m34m56h
Orthogonal 2c/12 spaceship:

Code: Select all

x = 5, y = 5, rule = B2-m4-m56/S2m34m56H
3bo$2bobo$b4o$ob3o$b3o!

p9, p10, p10, p12, p13, p20, p27, p73 oscillators:

Code: Select all

x = 153, y = 19, rule = B2-m4-m56/S2m34m56H
91b3o4b3o$91b3o5b3o$91b5o2b5o$26b2ob2ob2o16b2o2b2o37b3o3b3o$26b3o3b3o
14b2ob3ob2o35b10o17b2o3bo$12b2o13b2ob2ob2o14bob6obo16b3o17b7o20bo3bo$
12b3o11bo9bo13b9o14b2ob3o16b8o20bo2bo12bo2b2o2b2o2bo$12b4o10bobo2b2o2b
obo12b4o2b4o13b7o11bobob9obobo15bob2o13b3ob3ob3o$13b3o12bobo3bobo12b4o
bobob4o10bob5o12b18o11b3ob2o15b10o$13b4o9b2o2bo4bo2b2o9bob2o6b2obo9b9o
10b19o10bo2b5o2bo10b3ob3ob3o$3o11b3o9b3o9b3o9b5o3b5o9b10o10b18o15b2ob
3o10bo2b2o2b2o2bo$4o10b4o9b2o2bo4bo2b2o9bob2o6b2obo9b9o11bobob9obobo
14b2obo$b3o12bo13bobo3bobo12b4obobob4o10bob5o17b8o18bo2bo$b4o11b2o11bo
bo2b2o2bobo12b4o2b4o13b7o16b7o18bo3bo$2b3o11b3o11bo9bo13b9o14b2ob3o15b
10o17bo3b2o$32b2ob2ob2o14bob6obo16b3o16b3o3b3o$32b3o3b3o14b2ob3ob2o34b
5o2b5o$33b2ob2ob2o16b2o2b2o36b3o5b3o$100b3o4b3o!

An old post:

Lets kick things off with HexInverseFire, a rule by Ben Schaeffer. HexInverseFire is a hexagonal rule, in which the NE and SW corners are weighted to zero.

NW4,NN1,NE0,WW1,ME0,EE4,SW0,SS4,SE1,HI0,
RS2,RS3,RS6,RS7,RS8,RS9,RS11,RS12,RS13,RS14,RS15,
RB5,RB10,RB11,RB14,RB15

A good introduction to HexInverseFire is to simply fill in a large rectangle and watch what happens.

But beyond that, here's a really neat pattern:

Code: Select all

x = 158, y = 19, rule = HexInverseFire
151bo2$149bobobobo$152b2o$70bobobo76b5o$obo68b2ob2o77b2o$2o70b5o74bobo
bobo$3o65bo$obob2o63b2o4b2o68b3o7bo$ob3o68bo70b3o$3bo69bobo70b3o$2bo
67bo4bo70b2o$70b2o76bo$69bo77b4o$146b6o$145b7o$149bob4o$149bobo2bo$
150bo!

It would be accurate to describe it as a p594 oscillator, but it seems more descriptive to describe it as a spaceship that travels in a circle. I'm including three of them -- one traveling clockwise, one traveling counter-clockwise, and one next to a p2 oscillator. If you run this pattern at just the right speed, it looks like a spaceship orbiting a star.
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