B34/S13

[Extrementhusiast]

This rule is explosive, but it does have a small glider and some small oscillators. Here is what I have so far:

Code: Select all

x = 54, y = 38, rule = B34/S13
18b2o18bo$17bo2bo17bo$37b2o$18b2o8b3o5bo3$28b3o4$52bo$51bobo$15b4o34bo
$14bo4bo31bobo$14bo4bo$15b4o10$2b3o31b3o$2o3b2o28bo3bo$3bo31bo3bo$35bo
3bo$36b3o5$21bo$22b2o$22b2o$21bo!

And assorted agars and wicks:

Code: Select all

x = 596, y = 294, rule = B34/S13
452b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2$454b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o35$417b3o2$416b3o25$302b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o$302bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$302bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$303bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo3bobo$304b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2$
302b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$302bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo$302bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo$303bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$304b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o2$302b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$302bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$302bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo$303bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo$304b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2$302b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o$302bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$302bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$303bobo3bobo3bobo3bob
o3bobo3bobo3bobo3bobo3bobo$304b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2$
302b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$302bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo3bobo$302bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo$303bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$304b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o2$302b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$302bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$302bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo$303bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo$304b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o112bo7bo7bo7bo7bo7bo7bo7bo7b
o7bo7bo7bo7bo7bo7bo7bo7bo$464bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo
4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$302b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o112bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7b
o7bo7bo7bo7bo$302bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo111bo7bo
7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$302bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$303bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo$304b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2$302b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o$302bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$
302bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$303bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo$304b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o2$302b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$302bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo$302bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo$303bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$304b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o36$129b2o2b2o2b2o2b2o2b2o$52bobobobobobobobo
bobo20b20o16b20o$bo89b20o16b2o2b2o2b2o2b2o2b2o$2o50bobobobobobobobobob
o$2bo126b2o2b2o2b2o2b2o2b2o$3bo48bobobobobobobobobobo20b20o16b20o$5bo
85b20o16b2o2b2o2b2o2b2o2b2o$4b2o46bobobobobobobobobobo$6bo122b2o2b2o2b
2o2b2o2b2o$7bo44bobobobobobobobobobo20b20o16b20o$9bo81b20o16b2o2b2o2b
2o2b2o2b2o$8b2o42bobobobobobobobobobo$10bo118b2o2b2o2b2o2b2o2b2o$11bo
40bobobobobobobobobobo20b20o16b20o$13bo77b20o16b2o2b2o2b2o2b2o2b2o$12b
2o38bobobobobobobobobobo$14bo114b2o2b2o2b2o2b2o2b2o$15bo36bobobobobobo
bobobobo20b20o16b20o$17bo73b20o16b2o2b2o2b2o2b2o2b2o$16b2o34bobobobobo
bobobobobo$18bo$19bo62$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o$118bo4bo
4bo4bo4bo4bo4bo4bo4bo$115bob2obob2obob2obob2obob2obob2obob2obob2obob2o
3$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o133bo5bo5bo5bo5bo5bo5bo5bo5bo$
118bo4bo4bo4bo4bo4bo4bo4bo4bo133b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$
115bob2obob2obob2obob2obob2obob2obob2obob2obob2o133bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo$292bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo2$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o136bo5bo5bo5bo5bo5bo5bo5bo
5bo$118bo4bo4bo4bo4bo4bo4bo4bo4bo133bo5bo5bo5bo5bo5bo5bo5bo5bo$115bob
2obob2obob2obob2obob2obob2obob2obob2obob2o133b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o$292bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$292bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b
3o2b3o$118bo4bo4bo4bo4bo4bo4bo4bo4bo136bo5bo5bo5bo5bo5bo5bo5bo5bo$115b
ob2obob2obob2obob2obob2obob2obob2obob2obob2o133bo5bo5bo5bo5bo5bo5bo5bo
5bo$292b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$292bobo3bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o133bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo$118bo4bo4bo4bo4bo4bo4bo4bo4bo$
115bob2obob2obob2obob2obob2obob2obob2obob2obob2o136bo5bo5bo5bo5bo5bo5b
o5bo5bo$292bo5bo5bo5bo5bo5bo5bo5bo5bo$292b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o133bobo3bobo3bobo3bobo3bo
bo3bobo3bobo3bobo3bobo$118bo4bo4bo4bo4bo4bo4bo4bo4bo133bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo3bobo$115bob2obob2obob2obob2obob2obob2obob2ob
ob2obob2o$295bo5bo5bo5bo5bo5bo5bo5bo5bo$292bo5bo5bo5bo5bo5bo5bo5bo5bo$
116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o133b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o$118bo4bo4bo4bo4bo4bo4bo4bo4bo133bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo$115bob2obob2obob2obob2obob2obob2obob2obob2obob2o133bobo
3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo2$295bo5bo5bo5bo5bo5bo5bo5bo5b
o$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o133bo5bo5bo5bo5bo5bo5bo5bo5bo$
118bo4bo4bo4bo4bo4bo4bo4bo4bo133b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$
115bob2obob2obob2obob2obob2obob2obob2obob2obob2o133bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo$292bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo2$116b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o136bo5bo5bo5bo5bo5bo5bo5bo
5bo$118bo4bo4bo4bo4bo4bo4bo4bo4bo133bo5bo5bo5bo5bo5bo5bo5bo5bo$115bob
2obob2obob2obob2obob2obob2obob2obob2obob2o133b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o$292bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$292bobo3bob
o3bobo3bobo3bobo3bobo3bobo3bobo3bobo2$295bo5bo5bo5bo5bo5bo5bo5bo5bo$
292bo5bo5bo5bo5bo5bo5bo5bo5bo$292b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$
292bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo$292bobo3bobo3bobo3bobo
3bobo3bobo3bobo3bobo3bobo2$295bo5bo5bo5bo5bo5bo5bo5bo5bo$292bo5bo5bo5b
o5bo5bo5bo5bo5bo$292b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$292bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo$292bobo3bobo3bobo3bobo3bobo3bobo3bob
o3bobo3bobo2$295bo5bo5bo5bo5bo5bo5bo5bo5bo!

[12Glider]

That glider made my day!

[Ntsimp]

Here are oscillators of periods 5, 7, and 8:

Code: Select all

x = 25, y = 8, rule = B34/S13
12bo$4b3o4bo2bo7b3o$3bo3bo2bo3bo8b2o$2bo4bo6bo6b2o$bo3bo5b4o7b2o$bo2bo
$bo$2b2o!

[Ntsimp]

And here is an interesting p116:

Code: Select all

x = 15, y = 4, rule = B34/S13
6b3o$b3o3bo3b3o$2obo2b3o2bob2o$obo9bobo!

[Extrementhusiast]

Adding another agar to the mix:

Code: Select all

x = 95, y = 68, rule = B34/S13
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o5$2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o5$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o5$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o5$2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o5$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o5$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$
3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o5$2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o5$2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o$3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o!

Updated collection with the rest of the known spaceships and the oscillators previously suggested:

Code: Select all

x = 83, y = 127, rule = B34/S13
23bo$18bo4bo4bo$16b2o11b2o$16bo2bo3bo3bo2bo$17bo5bo5bo22$24bo9b2o$16b
3o4bo2bo5bo$15bo3bo2bo3bo5bo2bo$14bo4bo6bo5bo$13bo3bo5b4o6bo$13bo2bo$
13bo$14b2o4$68b4o$68bo3bo$66bo6bo$68bo4bo$73bo$18b2o18bo31bob2o$17bo2b
o17bo$37b2o32bo$18b2o8b3o5bo3$28b3o4$52bo$51bobo$15b4o34bo$14bo4bo31bo
bo$14bo4bo$15b4o55bob3o$73bo4bo2bo$73bo4bo2bo$74bob3o6$76bobobo$2b3o
31b3o37bo3bo$2o3b2o28bo3bo34bobo2b2o$3bo31bo3bo33bob2o4bo$35bo3bo34bob
o2b2o$36b3o37bo3bo$76bobobo4$21bo$22b2o$22b2o49b2o$21bo52bo$71bo4bo$
71bo4bo$69bobo4b2obobo$75bobo3b2o$77b2o2bo$79bo7$79bo$65b2o10b2o2bo$
65bo2b4obobobo3b2o$65bo10b2obobo$65b2o2b2o5bo$68bob2o4bo$69bo3b2o$74bo
9$74b2o2$76b2o$73b3o3bo$74b2o3bo$76bo2b2o$78b2o$80b2o2$78bobo2$80b2o$
78b2o$76bo2b2o$74b2o3bo$73b3o3bo$76b2o2$74b2o!

[Extrementhusiast]

Updated AGAIN with syntheses:

Code: Select all

x = 396, y = 368, rule = B34/S13
o$b2o$2bo$2bo16$30bo$31bo$21bo9b3o$22b2o$23bo$23bo15$58b2o$58bo$56b3o$
57bo$46bo$47bo$47b3o5$47b3o$47bo$46bo10bo$57bo$57b2o$59bo8$221bo$222bo
$222b3o6$23bo$23bo$22b2o$21bo9b3o$31bo$30bo11$242bo$242bo$241b2o$240bo
3$254b3o$256bo$257bo13$164bo$165bo$165b3o7$297bo$297bo$98bo198b2o$99bo
199bo$99b3o183bo$285bo$284b2o$283bo7$106bo129bo$106bo128b3o$106b2o127b
o$108bo125b2o$248bo$248bo$248b2o$250bo85bo$331bo4bo4bo$329b2o11b2o$
329bo2bo3bo3bo2bo$330bo5bo5bo5$278bo$278bo$278b2o$265bo14bo$265bo$264b
2o$263bo8$172bo12bo$172bo12bo$171b2o12b2o$170bo16bo149bo9b2o$329b3o4bo
2bo5bo$328bo3bo2bo3bo5bo2bo$327bo4bo6bo5bo$326bo3bo5b4o6bo$326bo2bo$
128bo197bo$127bo199b2o$125b3o3$381b4o$381bo3bo$379bo6bo$381bo4bo$219bo
166bo$220bo59bo50b2o18bo31bob2o$220b3o57bo49bo2bo17bo$268bo11b2o68b2o
32bo$268bo13bo48b2o8b3o5bo$267b2o$266bo$341b3o4$365bo$364bobo$328b4o
34bo$95b2o230bo4bo31bobo$96bo230bo4bo$96b3o229b4o55bob3o$97bo288bo4bo
2bo$386bo4bo2bo$387bob3o6$97bo141bo149bobobo$97bo141bo75b3o31b3o37bo3b
o$96b2o140b2o73b2o3b2o28bo3bo34bobo2b2o$95bo141bo78bo31bo3bo33bob2o4bo
$180bo167bo3bo34bobo2b2o$181b2o166b3o37bo3bo$182bo68b3o135bobobo$182bo
70bo$254bo2$334bo$335b2o$335b2o49b2o$334bo52bo$384bo4bo$384bo4bo$382bo
bo4b2obobo$352bo35bobo3b2o$350b2o38b2o2bo$392bo2$291b2o$292bo$292b3o
31bo$293bo33bo10b2o$125b3o51bo$127bo51bo17bo194bo$128bo49b2o17bo180b2o
10b2o2bo$177bo19b2o179bo2b4obobobo3b2o$199bo178bo10b2obobo$378b2o2b2o
5bo$381bob2o4bo$293bo45b2o41bo3b2o$293bo44b2o47bo$292b2o$139bo151bo$
140b2o$141bo$141bo4$387b2o2$389b2o$386b3o3bo$387b2o3bo$389bo2b2o$263bo
127b2o$264bo128b2o$264b3o$391bobo2$393b2o$391b2o$389bo2b2o$387b2o3bo$
137bo248b3o3bo$137bo17bo233b2o$136b2o17bo$135bo19b2o230b2o$157bo2$199b
o$197b2o$197bo$197bo7$292bo$188bo103bo$188bo102b2o$187b2o101bo$186bo2$
304b3o$306bo$307bo11$237bo$235b2o$235bo$235bo34$138bo$139bo$139b3o24$
152bo$152bo$151b2o$150bo3$164b3o$166bo$167bo!

EDIT: Updated AGAIN, AGAIN:

Code: Select all

x = 379, y = 317, rule = B34/S13
9bo$10bo$10b3o20$18bo$18b3o23bo$20b2o20b2o$20bo21bo$42bo5$24b3o$24bo$
23bo7$42bo$41b3o$43bo$43b2o12$204bo$205bo$205b3o5$2bo$2bo7b3o$b2o7bo$o
8bo14$225bo$225bo$224b2o$223bo3$237b3o$239bo$240bo22$280bo$280bo$81bo
198b2o$82bo199bo$82b3o183bo$268bo$267b2o$266bo7$89bo129bo$89bo128b3o$
89b2o127bo$91bo125b2o$231bo$231bo$231b2o$233bo85bo$314bo4bo4bo$312b2o
11b2o$312bo2bo3bo3bo2bo$313bo5bo5bo5$261bo$261bo$261b2o$248bo14bo$248b
o$247b2o$246bo8$155bo12bo$155bo12bo$154b2o12b2o$153bo16bo149bo9b2o$
312b3o4bo2bo5bo$311bo3bo2bo3bo5bo2bo$310bo4bo6bo5bo$309bo3bo5b4o6bo$
309bo2bo$111bo197bo$110bo199b2o$108b3o3$364b4o$364bo3bo$362bo6bo$364bo
4bo$369bo$263bo50b2o18bo31bob2o$263bo49bo2bo17bo$224b2o25bo11b2o68b2o
32bo$224bo26bo13bo48b2o8b3o5bo$222b3o25b2o$223bo25bo$217bo106b3o$218b
2o$219bo$219bo$348bo$347bobo$311b4o34bo$78b2o230bo4bo31bobo$79bo138b3o
89bo4bo$79b3o136bo92b4o55bob3o$80bo136bo151bo4bo2bo$369bo4bo2bo$370bob
3o6$80bo291bobobo$80bo217b3o31b3o37bo3bo$79b2o215b2o3b2o28bo3bo34bobo
2b2o$78bo220bo31bo3bo33bob2o4bo$163bo167bo3bo34bobo2b2o$164b2o166b3o
37bo3bo$165bo206bobobo$165bo3$317bo$318b2o$318b2o49b2o$317bo52bo$367bo
4bo$367bo4bo$365bobo4b2obobo$335bo35bobo3b2o$333b2o38b2o2bo$375bo2$
274b2o$275bo$275b3o31bo$276bo33bo10b2o$108b3o51bo$110bo51bo17bo194bo$
111bo49b2o17bo180b2o10b2o2bo$160bo19b2o179bo2b4obobobo3b2o$182bo178bo
10b2obobo$361b2o2b2o5bo$364bob2o4bo$276bo45b2o41bo3b2o$276bo44b2o47bo$
275b2o$122bo151bo$123b2o$124bo$124bo4$370b2o2$372b2o$369b3o3bo$370b2o
3bo$372bo2b2o$374b2o$376b2o2$374bobo2$250bo125b2o$249bo124b2o$247b3o
122bo2b2o$370b2o3bo$120bo248b3o3bo$120bo17bo233b2o$119b2o17bo$118bo19b
2o111b3o116b2o$140bo112bo$254bo$182bo$180b2o$180bo61bo$180bo61bo$241b
2o$240bo6$171bo$171bo$170b2o$169bo31$132bo$133b2o$134bo$134bo8b2o$143b
o$141b3o$142bo4$133b3o$133bo$132bo!

[Extrementhusiast]

Since the previous post is getting a bit long, here is a new diagonal p2 wick:

Code: Select all

x = 51, y = 50, rule = B34/S13
2o$b2o$2b2o$3b2o$4b2o$5b2o$6b2o$7b2o$8b2o$9b2o$10b2o$11b2o$12b2o$13b2o
$14b2o$15b2o$16b2o$17b2o$18b2o$19b2o$20b2o$21b2o$22b2o$23b2o$24b2o$25b
2o$26b2o$27b2o$28b2o$29b2o$30b2o$31b2o$32b2o$33b2o$34b2o$35b2o$36b2o$
37b2o$38b2o$39b2o$40b2o$41b2o$42b2o$43b2o$44b2o$45b2o$46b2o$47b2o$48b
2o$49b2o!

[Lewis]

New p3, p6, p10 and p14 (and I've labelled part of the collection by period/speed):

Code: Select all

x = 174, y = 120, rule = 13/34
4bo2$4bo5bo$10bo130bo3bo7bo$4bo$141bo3bo7bo$4bo5bo53bobobo92b
o$11bo119bobobo5bobobo3bobobo7bo$4bo59bo3bo91b2o$77b2o52bo13b
o3bo3bo5bo$64bobobo6bo$75bo2bo52bobobo9bo3bobobo$64bo3bo6bo$o
bobo71bo$11b2o15bo35bobobo$4bo5bo$18b3o6b3o$obobo11b2o3b2o2bo
bobobo$19bo7b3o$o9b2o48bo3bobobo$11b2o15bo$obobo55bo3bo3bo4bo
b4o61bobobo7bo$73bo85b4o$60bo3bo3bo4bo4bo61bo3bo7bo6bo3bo$73b
o4bo78bo6bo$obobo55bo3bo3bo9bo51bobobo5bobobo3bobobo6bo4bo$73b
4obo85bo$4bo3b3o6b2o41bo3bobobo61bo9bo3bo3bo3bo8bob2o$19bo$ob
obo10bo3bo110bobobo5bobobo3bobobo9bo$8b3o4bo3bo$4bo11b4o2$obo
bo$60bo3bobobo2$60bo7bo4bo$o3bo67bobo$60bo3bobobo5bo$o3bo4b2o
5b4o5bo46bobo$15bo4bo5b2o32bo3bo$obobo3bo2bo3bo4bo5b2o111bobo
bo3bobobo$9b2o5b4o5bo34bo3bobobo93bo$4bo138bo3bo3bo9b3o$156b3o
2bobo$4bo124bobobo5bobobo3bo3bo7b2o2bo$60bo3bo3bo6bobo81b2o2b
o$74b4obo49bo9bo7bo3bo4b3o2bobo$60bo3bo3bo10b2o80b3o$73b2o4bo
49bobobo5bobobo3bobobo10bo$60bo3bobobo5bo4b2o$obobo7b3o58b2o$
11bo3bo44bo7bo5bob4o$o9bo4bo60bobo$9bo3bo46bo7bo$obobo4bo2bo$
9bo137bobobo$4bo5b2o145bobob2o$151bo7b2o$obobo52bo3bo3bobobo86b
o2b2obo$77bo9bo49bobobo5bobobo4bo2bo2bo$57bo3bo3bo90bo2b2obo$
79bo5bo51bo13bo7b2o$57bo3bo3bobobo5bo6bo6bo67bobob2o$obobo71b
2o3bobo3b2o48bobobo5bobobo$13bo43bo3bo3bo3bo11b3o$o11bo63bo5b
o5bo$10bobo44bo3bo3bobobo6b2o3b3o3b2o$obobo4bo2bo3bo$9bo2bo3b
o$o3bo5bobo$12bo$obobo8bo3$147bo3bo11b4o$163bobo$obobo142bo3b
o8b2ob6o$11bo149bo3b2o2bo$4bo5bo2bo123bobobo5bobobo13bo3bob3o
$9bo3bo155bobo$4bo8bo123bo13bo14bob2o$10b4o$4bo132bobobo9bo2$
4bo3$166bob2o$156bo12bobo$157b2ob2o3bo3bob3o$157b3ob3ob2o2bo$
156bob2o2b7o$160bo2bobo$160bo3b3o7$159b2o$147bobobo$161b2o$151b
o6b3o3bo$159b2o3bo$137bobobo5bobobo9bo2b2o$163b2o$137bo9bo17b
2o2$137bobobo5bobobo11bobo2$165b2o$163b2o$161bo2b2o$159b2o3bo
$158b3o3bo$161b2o2$159b2o!

[Extrementhusiast]

p20 wick:

Code: Select all

x = 98, y = 99, rule = B34/S13
97bo$96b2o$96bo$94bo$93b2o$93bo$91bo$90b2o$90bo$88bo$87b2o$87bo$85bo$
84b2o$84bo$82bo$81b2o$81bo$79bo$78b2o$78bo$76bo$75b2o$75bo$73bo$72b2o$
72bo$70bo$69b2o$69bo$67bo$66b2o$66bo$64bo$63b2o$63bo$61bo$60b2o$60bo$
58bo$57b2o$57bo$55bo$54b2o$54bo$52bo$51b2o$51bo$49bo$48b2o$48bo$46bo$
45b2o$45bo$43bo$42b2o$42bo$40bo$39b2o$39bo$37bo$36b2o$36bo$34bo$33b2o$
33bo$31bo$30b2o$30bo$28bo$27b2o$27bo$25bo$24b2o$24bo$22bo$21b2o$21bo$
19bo$18b2o$18bo$16bo$15b2o$15bo$13bo$12b2o$12bo$10bo$9b2o$9bo$7bo$6b2o
$6bo$4bo$3b2o$3bo$bo$2o$o!

[knightlife]

Didn't see this p2 oscillator/wick in the posts:

Code: Select all

x = 12, y = 22, rule = B34/S13
2b2o$2o4$2b2o$2o2b2o4$2b2o2b2o$2o2b2o4$2b2o2b2o$2o2b2o2b2o4$2b2o2b2o2b
2o$2o2b2o2b2o!

Infinite number of wicks are possible using one and two cell segments:

Code: Select all

x = 16, y = 11, rule = B34/S13
bobobobobobobobo$obobobobobobobo8$bo2bo2bo2bo2bo$ob2ob2ob2ob2ob2o!

4-cell methuselah:

Code: Select all

x = 4, y = 2, rule = B34/S13
o$b3o!

Lasts only 271 generations but potentially longer lasting methuselahs usually explode.

[Extrementhusiast]

Infinite number of wicks are possible using one and two cell segments:

Code: Select all

x = 16, y = 11, rule = B34/S13
bobobobobobobobo$obobobobobobobo8$bo2bo2bo2bo2bo$ob2ob2ob2ob2ob2o!

I know about that; I first saw it in B3/S013.

4-cell methuselah:

Code: Select all

x = 4, y = 2, rule = B34/S13
o$b3o!

Lasts only 271 generations but potentially longer lasting methuselahs usually explode.

Au contraire: The occasional 20x20 random soup does settle down.

[Wojowu]

Au contraire: The occasional 20x20 random soup does settle down.

Like this:

Code: Select all

x = 20, y = 20, rule = B34/S13
bob2o4bob2o4bo$3o2b3obob2ob2obobo$2o3bo2b4o2b6o$4b4obo2bo3b4o$2b2o3b3o
bo4b2o$o3bo2bobobo4bobo$2o6bobo2b2obo$bob2ob2o6b3obo$o4b3o2b2o2b4o$bo
3b2obob2o4b2obo$b3o5bo3bo2b3o$2o2bobobo2b2obo2bobo$7bob4o2bob2o$bo4bob
2o2bo2bobo$2b4o2b2obo2b2ob3o$o2bo2bo4b7obo$2o2bo2b2ob2ob4ob2o$5b2o3bob
2o3bo$b6o2b2o2b2o2bobo$3b2o2b4obo2bo2b2o!

Almost 1000 generations!!!

[Lewis]

New p5 and P8 oscillators:

Code: Select all

x = 20, y = 24, rule = 13/34
obobo$9b2ob2o2bo$o10bobo2bo$15bo$obobo4b2o5bo$9bo5b2o$4bo5bo$
9bo2bobo$obobo4bo2b2ob2o6$obobo8b3o$11b2o5bo$o3bo13bo$13bob2o
2bo$obobo5bo2bo5bo$10bo5bo2bo$o3bo5bo2b2obo$11bo$obobo6bo5b2o
$14b3o!

Known P7 hassles a block, yielding a new oscillator:

Code: Select all

x = 18, y = 6, rule = 13/34
2bo12bo$5o8b5o$4bo8bo$o3b2o2b2o2b2o3bo$4bo3b2o3bo$2bobo8bobo!

EDIT: And another similar oscillator which uses 4 of the p7s:

Code: Select all

x = 14, y = 16, rule = 13/34
3bo6bo$b2o8b2o$obo2bo2bo2bobo$2ob2o4b2ob2o$2bobo4bobo$2b2o6b2o
2$6b2o$6b2o2$2b2o6b2o$2bobo4bobo$2ob2o4b2ob2o$obo2bo2bo2bobo$
b2o8b2o$3bo6bo!

EDIT 2: New p6 and p14:

Code: Select all

x = 22, y = 25, rule = 13/34
4bobobo5b2o$16bo$4bo7bo3bo$12bo3bo$4bobobo4b4o2b2o$20b2o$4bo3b
o$16bo$4bobobo7b2o$17bo7$o3bo3bo$15bo$o3bo3bo7b2o$13bo4bo$o3b
obobo4bo6bo$14bo6bo$o7bo7bo4bo$17b2o$o7bo10bo!

[Extrementhusiast]

I can tell that the p7 oscillator will be important for this rule. Here it is shown deleting a glider:

Code: Select all

x = 14, y = 21, rule = B34/S13
o$bo$b3o14$9b4o$9bo$9bo3bo$9bo2bo$11bo!

Still haven't synthesized it yet, so that is of high priority. Also still haven't found a stable glider eater, if one exists.

On a bit of a lighter note, here is a reaction that shifts a block one cell over:

Code: Select all

x = 33, y = 24, rule = B34/S13
4$14b2o$14b2o8$5b3o$5bo21bo$4bo22bo$27b2o$29bo!

[Ntsimp]

New p3 and 2 new p4s:

Code: Select all

x = 16, y = 16, rule = B34/S13
bob2o$bobobo$6o$3bo$3b3o$3bo6$13b2o$b2o8b2o$o2b3o5bobo$3o2bo7bobo$3b2o
6b2o2bo!

[Ntsimp]

Are there only three still lifes in this rule?

[Tropylium]

Are there only three still lifes in this rule?

I think so! Using only S1 cells produces the two 2-bit cases, and the block cannot be extended either. While we have nine other 3-cell environments:

Code: Select all

x = 43, y = 13, rule = lifehistory
3B7.3B7.A2B7.BAB7.2BA$BCB7.ACB7.BCB7.BCB7.BCB$3A7.B2A7.B2A7.B2A7.B2A
8$3B7.A2B7.A2B7.2BA$ACA7.BCA7.BCA7.BCB$BAB7.BAB7.A2B7.ABA!

(I'm using LifeHistory here to highlight the neighborhoods I'm considering)

…only very few of these can be used on the perimeter of a still life. The polyominos are right out on account of having potential B3 or B4 points on each edge, as are the prepond, the bunny and the comma spark, leaving only the last entries of each row. The first of these is ruled out since it's impossible to simultaneously upgrade the 2-neighbor cells to 3 and to suppress the B4 spot, while the second's B3 spots cannot be suppressed while using only this neighborhood on the perimeter.

Also note that it's also impossible to use "spikes" on the perimeter: a low-survival B34 still life cannot have severe indents in its boundary. Dead cells along the indents need to jump from 2 neighbors to 5+ as they come in touch with the main body of the stlife, which requires structures something like this:

Code: Select all

x = 11, y = 10, rule = B34/S1245
3b2ob2o$3bo3bo$b9o$2bobobobo$obobobobobo$obobobobobo$2bobobobo$b9o$3bo
3bo$3b2ob2o!

[Lewis]

Is this p10 known?

Code: Select all

x = 8, y = 8, rule = B34/S13
4b2o$2bo3bo$bo5bo2$o4b2o$o3bo$bo2bo2bo$2bo3bo!

[Ntsimp]

I found it a couple of days ago, but I'm pretty sure it hasn't been posted here before.

[400spartans]

22-cell c/3o with a smaller average population (22.33 vs 24.33)

Code: Select all

x = 9, y = 9, rule = B34/S13
3bo$3b3o$2b2obo$4bo$bo2bo2bo$obobo$b2o5bo$3b2ob2o$5bo!

Rather sparse 100-cell c/6o

Code: Select all

x = 14, y = 35, rule = B34/S13
6b2o$5bo2bo2$6b2o$3bo2b2o2bo$bo3bo2bo3bo$2bo2b4o2bo$2bo8bo2$5b4o$3b2o
4b2o3$o3b6o3bo$o12bo$5bo2bo$bo3bo2bo3bo$o3bo4bo3bo$4b2o2b2o$bo10bo$b2o
3b2o3b2o$2bo8bo$4bo4bo$5b4o2$3bo2b2o2bo$3bo2b2o2bo$o2bo6bo2bo$o12bo$b
3o6b3o$4bo4bo$3bo6bo$5bo2bo$5bo2bo$6b2o!