Miscellaneous Discoveries in Other Cellular Automata

[jimmyChen2013]

are there any weirder spaceships than this?

Code: Select all

x = 24, y = 29, rule = B2i3ai4cei5c6c7/S3acein4e5i6cei7c8
15b3o$14bobobo$13bob3obo$12bob5obo$11bo4bo4bo$10bo8bo2bo$9bobo11bo$8bo
11bo$22bo10$4b3o$3bobobo$2bob3obo$bob5obo$ob7obo$11o6b3o$ob7obo5bobobo
$bob5obo6b5o$2bob3obo7bobobo$3bobobo9b3o$4b3o!

[Saka]

are there any weirder spaceships than this?

Code: Select all

self splitting ship

Wow! That's really cool!
But yes, there are probably weirder ones

[AbhpzTa]

p235:

Code: Select all

x = 110, y = 110, rule = B3-ckq6ac8/S2-c3-a4iq5ck
32b2o$31bobo$31b2o3$42b3o$34b3o5bo2bo$34bo2bo3bo2b2o$33bo2b2o3b2o5$36b
o$37b2o17$107b2o$107bobo$101bo6b2o$68b3o31b2o$68bo2bobo29bo$35bo32b2ob
2o23bo4bobo$36b2o32b3o22bo5b2o$35b3o57bo$34bo2bo2b2o3bo$34bobo4bo2b2o
24bo$34b3o4bo3bo22b3o30b2o$42b3o22bo33bob2o$67bo36bo$67bobo32bobo$68b
3o31b2o19$6b2o31b3o$5bobo32bobo$5bo36bo$5b2obo33bo22b3o$7b2o30b3o22bo
3bo4b3o$39bo24b2o2bo4bobo$64bo3b2o2bo2bo$14bo57b3o$7b2o5bo22b3o32b2o$
6bobo4bo23b2ob2o32bo$6bo29bobo2bo$6b2o31b3o$2o6bo$obo$b2o17$71b2o$73bo
5$67b2o3b2o2bo$64b2o2bo3bo2bo$64bo2bo5b3o$65b3o3$77b2o$76bobo$76b2o!

Could conceivably be extended to most periods above, say, 150, although the loops would be very large.
Suppressing sparks takes the repeat time all the way down to 47, precisely half the period of the larger ship:

Code: Select all

x = 75, y = 84, rule = B3-ckq6ac8/S2-c3-a4iq5ck
5b3o$4bo2bo$4b2o2bo23b2o$7b2o22bobo$30bobo$30b2o$17b2o$17bobo$18b2o5$
15b2o31b3o$14bobo32bobo$14bo36bo$14b2obo33bo$16b2o30b3o$48bo2$23bo$16b
2o5bo22b3o$15bobo4bo23b2ob2o$bo13bo12b3o14bobo2bo$o14b2o10bo2bo5b3o9b
3o$3o6b2o6bo9b2o2bo3bo2bo$9bobo18b2o3b2o2bo$10b2o4$36bo$34b2o4$38b2o
31b3o$37bobo32bobo$37bo36bo$37b2obo33bo$39b2o30b3o$71bo2$46bo$39b2o5bo
22b3o$38bobo4bo23b2ob2o$38bo12b3o14bobo2bo$38b2o10bo2bo5b3o9b3o$40bo9b
2o2bo3bo2bo$53b2o3b2o2bo5$37bo21bo$35b2o20b2o$35b3o$27bo3b2o2bo2bo$27b
2o2bo4bobo$27bo3bo4b3o$28b3o17$60bo$58b2o$58b3o$50bo3b2o2bo2bo$50b2o2b
o4bobo$50bo3bo4b3o$51b3o!

Not sure if any further reduction could be done by suppressing the larger output ship.
Proof-of-concept p47 gun:

Code: Select all

x = 106, y = 106, rule = B3-ckq6ac8/S2-c3-a4iq5ck
20bo$19b2o$19bobo$63b3o$55b3o5bo2bo$55bo2bo3bo2b2o$54bo2b2o3b2o5$57bo$
31b2o25b2o$31bobo$31bo2$54b2o$54bobo$56bo$53bob2o46b2o$53b2o49b2o$30b
2o71bo$29bobo$29b2o$58b2o$57bo$40b3o$32b3o5bo2bo$32bo2bo3bo2b2o$31bo2b
2o3b2o8b2o31b2o$48bobo3bo2b2o3b2o18bobo$48b2o5bo2bo3bo2b2o9bo6b2o6b3o$
55b3o5bo2bo10b2o14bo$63b3o12bo13bo$34bo36bo4bobo$35b2o33bo5b2o$70bo3$
4b2o25b2o43b2o$3bobo25bobo42bob2o$3bo29bo45bo$3b2obo23bob2o17b2o24bobo
$5b2o23b2o19bobo23b2o$52bobo$53b2o$12bo11bo$5b2o5bo11bo5b2o$4bobo4bo
13bo4bobo41b2o$4bo12b3o12bo41bobo$4b2o10bo2bo11b2o42b2o$6bo9b2o2bo9bo
13b2o16b2o$19b2o22bobo15bobo$42bobo15bobo22b2o$42b2o16b2o13bo9bo2b2o9b
o$29b2o42b2o11bo2bo10b2o$29bobo41bo12b3o12bo$30b2o41bobo4bo13bo4bobo$
74b2o5bo11bo5b2o$81bo11bo$51b2o$51bobo$27b2o23bobo19b2o23b2o$26bobo24b
2o17b2obo23bob2o$26bo45bo29bo$26b2obo42bobo25bobo$28b2o43b2o25b2o3$35b
o$28b2o5bo33b2o$27bobo4bo36bo$13bo13bo12b3o$12bo14b2o10bo2bo5b3o$12b3o
6b2o6bo9b2o2bo3bo2bo5b2o$21bobo18b2o3b2o2bo3bobo$22b2o31b2o8b2o3b2o2bo
$62b2o2bo3bo2bo$62bo2bo5b3o$63b3o$48bo$46b2o$75b2o$74bobo$2bo71b2o$2o
49b2o$b2o46b2obo$49bo$49bobo$50b2o2$74bo$72bobo$46b2o25b2o$48bo5$42b2o
3b2o2bo$39b2o2bo3bo2bo$39bo2bo5b3o$40b3o$84bobo$85b2o$85bo!

p45 glider gun:

Code: Select all

x = 221, y = 199, rule = B3-ckq6ac8/S2-c3-a4iq5ck
20b2o$18bo2bo13b2o5b2o$18b2o14bobo5bobo$34b2o7b2o4$23bo5b2o4b2o$22b3o
10bobo$21b2o2bo11b2o$21bo14b2o$15b2o4bo4bo9bo$15bobo3bo4bo$16b2o5b2o
21bo$10b2o32bo$10bobo21b2o8bo$11b2o21bobo7bob2o10b2o5b2o$35b2o20bobo5b
obo$8bo48b2o7b2o$7b3o$6b2o2bo36b2o4bo$7bob2o33b2o6bo2bo$6bo17b2o19b3o
7b2o$7bo16bobo19bo5b2o3bo$11bo12bob2o24bob2ob2o$9b2o14b2o26bo2b2o$2o
22b2o5b2o6b2o12b4o$obo20bo7bobo4bobo$b2o30bo4b2o31b2o$32bo38b2o$19b2o
11bobo22b2o11b4o$18bo2bo11b2o22bobo10bobo8b2o$18bo2bo26b2o8b2o7b3o2bo
7bobo$19b2o9b2o15bobo17bo2b2o8b2o2b2o$47b2o19b3o12bo2bo$38b2o29bo13bob
2o$37bobo42b2o2b2o$11b3o16bobo4b2o35b3o5b2o$10b2ob2o15b3o41bob2o7bo$9b
2o2bo17bo45b2o4bobo$10bo2b2o62bo7bo$11b3o48b2o12bo5b2o9b2o$61bobo18b2o
2b2o4bobo$61b2o20bob2o5b2o$47b2o33b2o2bo$10b2o7b2o26bobo33b3o$10bobo5b
obo27b2o34bo11b2o$11b2o5b2o51b2o22bobo$70bobo22b2o$70b2o$22b2o29b2o$
21bobo28bobo44bo$21b2o7b2o20b2o27b3ob3o10b3o$30bobo10b3ob3o30b2o5b2o9b
obo$32b2o9bo5bo29b2obobobob2o7bo$30bobo10b7o30bobo3bobo9bobo$30b2o13bo
bo29b2o2b2o3b2o10b3o7b2o$76bobo20bo7bobo$76b2o29b2o$62b2o$34b2o26bobo$
33bobo27b2o46b2o$33b2o46b2o27bobo$81bobo26b2o$45b3o34b2o$37b2o6bo2bo
19b2o$36bobo5bo2b2o9bo8bobo47bo2bo$36b2o6b3ob2o6bobo2bo5b2o52bo$46bo7b
2ob2o2bo36b3o14b2o5bo$47bo6bo8bobo31bo3bo13bo6bo$46bo7bo2bo2bob2o33b2o
b2o13bo4b2o$44b3ob2o5b2o3bob3o27b2o22bo6b2o$44bo2b2o42bobo28bobo$45bo
2bo42b2o29b2o$45b3o29b2o$49b2o9b3o14bobo$48bobo9bo2bo14b2o46b2o$48b2o
10bo2bo32b2o27bobo$63b2o31bobo26b2o$62b2o33b2o$52b2o29b2o$51bobo28bobo
45bo$51b2o14b2o13b2o46b3o$65b2ob2o46bo14bobo$65bo2bo47bo13bo2bo$65bo3b
2o58b2ob2o$66b2obo5b3o29b2o4bo16b2o6b2o$68bobo4bobo28bobo4b4o20bobo$
70bo4bob2o27b2o4bo3bo20b2o$92b2o18bo2bo$64b2o26bobo18b3o$63bobo27b2o
46b2o$63b2o9bobo34b2o27bobo$74b4o33bobo26b2o$75b3o34b2o$67b2o29b2o$66b
obo28bobo$66b2o10b2o10b3o4b2o27b3o13b2o$76b2obo10bo2bo32b2o14bobo$76bo
13bo2bo33bo2bo13bo$76bobo14b2o32bo2bo10bob2o$77b2o13b3o27b2o4b3o10b2o
10b2o$121bobo28bobo$121b2o29b2o$107b2o34b3o$79b2o26bobo33b4o$78bobo27b
2o34bobo9b2o$78b2o46b2o27bobo$105b3o18bobo26b2o$105bo2bo18b2o$82b2o20b
o3bo4b2o27b2obo4bo$81bobo20b4o4bobo28bobo4bobo$81b2o6b2o16bo4b2o29b3o
5bob2o$87b2ob2o58b2o3bo$87bo2bo13bo47bo2bo$87bobo14bo46b2ob2o$88b3o46b
2o13b2o14b2o$90bo45bobo28bobo$136b2o29b2o$122b2o33b2o$94b2o26bobo31b2o
$93bobo27b2o32bo2bo10b2o$93b2o46b2o14bo2bo9bobo$141bobo14b3o9b2o$142b
2o29b3o$97b2o29b2o42bo2bo$96bobo28bobo42b2o2bo$96b2o6bo22b2o27b3obo3b
2o5b2ob3o$99b2o4bo13b2ob2o33b2obo2bo2bo7bo$98bo6bo13bo3bo31bobo8bo6bo$
98bo5b2o14b3o36bo2b2ob2o7bo$99bo52b2o5bo2bobo6b2ob3o6b2o$100bo2bo47bob
o8bo9b2o2bo5bobo$151b2o19bo2bo6b2o$137b2o34b3o$109b2o26bobo$108bobo27b
2o46b2o$108b2o46b2o27bobo$156bobo26b2o$157b2o$112b2o29b2o$111bobo7bo
20bobo$111b2o7b3o10b2o3b2o2b2o29bobo13b2o18b2o$120bobo9bobo3bobo30b7o
10bobo17bobo$123bo7b2obobobob2o29bo5bo9b2o19b2o$120bobo9b2o5b2o30b3ob
3o10bobo$120b3o10b3ob3o27b2o20b2o7b2o$121bo44bobo28bobo$166b2o29b2o$
149b2o$124b2o22bobo$123bobo22b2o51b2o$123b2o11bo34b2o27bobo$135b3o33bo
bo26b2o$134bo2b2o33b2o$127b2o5b2obo20b2o$126bobo4b2o2b2o18bobo$126b2o
9b2o5bo12b2o48b3o$135bo7bo62b2o2bo$135bobo4b2o45bo17bo2b2o$135bo7b2obo
41b3o15b2ob2o$137b2o5b3o35b2o4bobo16b3o$133b2o2b2o42bobo$134b2obo13bo
29b2o$134bo2bo12b3o19b2o$135b2o2b2o8b2o2bo17bobo15b2o9b2o$138bobo7bo2b
3o7b2o8b2o26bo2bo$138b2o8bobo10bobo22b2o11bo2bo$147b4o11b2o22bobo11b2o
$148b2o38bo$148b2o31b2o4bo30b2o$180bobo4bobo7bo20bobo$164b4o12b2o6b2o
5b2o22b2o$163b2o2bo26b2o14b2o$162b2ob2obo24b2obo12bo$163bo3b2o5bo19bob
o16bo$164b2o7b3o19b2o17bo$165bo2bo6b2o33b2obo$167bo4b2o36bo2b2o$211b3o
$153b2o7b2o48bo$153bobo5bobo20b2o$154b2o5b2o10b2obo7bobo21b2o$176bo8b
2o21bobo$176bo32b2o$174bo21b2o5b2o$194bo4bo3bobo$184bo9bo4bo4b2o$183b
2o14bo$182b2o11bo2b2o$183bobo10b3o$184b2o4b2o5bo4$176b2o7b2o$176bobo5b
obo14b2o$177b2o5b2o13bo2bo$199b2o!

p46 glider gun:

Code: Select all

x = 145, y = 139, rule = B3-ckq6ac8/S2-c3-a4iq5ck
20b2o$18bo2bo13b2o$18b2o14bobo$34b2o3$29bo$29bo5b2o$23bo6bo4bobo$22b3o
12bo$21bo2b2o10b2o$15b2o4b3obo9bo10b2o$15bobo6b2o20bobo$16b2o29b2o$10b
2o25b2o$10bobo25b2o$11b2o27b2o8b2o$35bo2bo10bobo$38bo10b2o$36bo$8bo28b
o2bo3bo$7b3o27b3o4bobo$6b2o2bo27bo6bob2o$6bob3o12b3o18b2o3bo$5bo19bo
20bo2bo$21bo3bo19b2ob2o$2o19b4o6b2o13b2o14b2o$obo18b2o9bo28bobo$b2o28b
o29b2o$30bo19b3o$19b2o6bobo20bo$18bo2bo5b2o22b2o12b2o$18bo2bo19b2o8bo
2b2o8bobo$19b2o10bo8bobo9b3o9b2o2b2o$30b3o7b2o11bo13bo2bo$29bo2b2o4b2o
27bob2o$29b2obo4bobo26b2o2b2o$14b2o17bo3b2o19b2o6b2o$12b2ob2o15bo17b2o
6bob2o7bo$12bo2bo12bo32bo5bobo$12bobo14b2o30bo7bo$13b3o30b2o7bo3b2o5b
2o9b2o$15bo29bobo8bo9b2o2b2o4bobo$45b2o20bob2o5b2o$43b2o21b2o2bo$10b2o
7b2o21bobo22b3o$10bobo5bobo21b2o2b2o20bo11b2o$11b2o5b2o25bob2o7b2o21bo
bo$55bobo21b2o$55b2o$22b2o29b2o28bo$21bobo3bo24bobo11bo3bo11b3o$21b2o
2b5o15bobo4b2o10b3o3b3o11b2o$24bo2bobo15b3o15bobo2bo2bobo7b2o$24bo3bo
17bo16bo2b2ob2o2bo8bo$24b2o3bo34bobo3bob2o7b2o$26b4o31b2o2b2o3b2o12b2o
6b2o$27bo32bobo19b3o6bobo$60b2o21bo7b2o$58b2o$34b2o21bobo$33bobo21b2o
36b2o$33b2o36b2o21bobo$70bobo21b2o$70b2o$37b2o29b2o$36bobo28bobo13bo$
36b2o7b2o20b2o29b2o$45bobo11b2ob2o17b2ob2o11bobo6bo$38bo8bo11bo3bo17bo
3bo11bo8bo$38bo6bobo11b2ob2o17b2ob2o11bobo$45b2o29b2o20b2o7b2o$61bo13b
obo28bobo$75b2o29b2o$73b2o$49b2o21bobo$48bobo21b2o36b2o$48b2o36b2o21bo
bo$85bobo21b2o$85b2o$52b2o7bo21b2o$51bobo6b3o19bobo32bo$51b2o6b2o12b2o
3b2o2b2o31b4o14b2o$62b2o7b2obo3bobo34bo3b2o11bobo$62bo8bo2b2ob2o2bo16b
o17bo3bo11b2o$62b2o7bobo2bo2bobo15b3o15bobo2bo$59b2o11b3o3b3o10b2o4bob
o15b5o2b2o$60b3o11bo3bo11bobo24bo3bobo$61bo28b2o29b2o$88b2o$64b2o21bob
o$63bobo21b2o7b2obo25b2o$63b2o11bo20b2o2b2o21bobo$75b3o22bobo21b2o$74b
o2b2o21b2o$67b2o5b2obo20b2o$66bobo4b2o2b2o9bo8bobo29bo$66b2o9b2o5b2o3b
o7b2o30b3o$75bo7bo30b2o14bobo$75bobo5bo32bo12bo2bo$75bo7b2obo6b2o17bo
15b2ob2o$77b2o6b2o19b2o3bo17b2o$73b2o2b2o26bobo4bob2o$74b2obo27b2o4b2o
2bo$74bo2bo13bo11b2o7b3o$75b2o2b2o9b3o9bobo8bo10b2o$78bobo8b2o2bo8b2o
19bo2bo$78b2o12b2o22b2o5bo2bo$94bo20bobo6b2o$92b3o19bo$82b2o29bo28b2o$
81bobo28bo9b2o18bobo$81b2o14b2o13b2o6b4o19b2o$95b2ob2o19bo3bo$95bo2bo
20bo19bo$95bo3b2o18b3o12b3obo$96b2obo6bo27bo2b2o$98bobo4b3o27b3o$100bo
3bo2bo28bo$108bo$94b2o10bo$93bobo10bo2bo$93b2o8b2o27b2o$105b2o25bobo$
106b2o25b2o$96b2o29b2o$96bobo20b2o6bobo$97b2o10bo9bob3o4b2o$107b2o10b
2o2bo$107bo12b3o$107bobo4bo6bo$108b2o5bo$115bo3$109b2o$108bobo14b2o$
108b2o13bo2bo$123b2o!

[Hdjensofjfnen]

Well, what do you know?

Code: Select all

x = 3, y = 5, rule = B34c/S23
b2o$o$o$b2o$2bo!

EDIT: And not only that:

Code: Select all

x = 6, y = 24, rule = B34c/S23History
C$3C$C.C$2.C17$3.D$3.D.D$3.3D$5.D!

EDIT: Unrelated rule:

Code: Select all

x = 8, y = 7, rule = B2-a/S124
b7o2$b7o$o$3b5o$2o$2b6o!

EDIT: Similar rule:

Code: Select all

x = 3, y = 3, rule = B2-a/S1
2o$2bo$2o!

[Hdjensofjfnen]

c/6d:

Code: Select all

x = 4, y = 3, rule = B2ck3aikn6/S23-a
o2bo$bobo$b3o!

[muzik]

Code: Select all

x = 4, y = 3, rule = B2ce4jr5c/S14y
b2o$o2bo$b2o!

[wwei23]

8c/74 diagonal:

Code: Select all

x=4, y=2, rule=B2ce3/S2
bobo$4o!

[Hdjensofjfnen]

8c/18o linear growth:

Code: Select all

x = 3, y = 2, rule = B2ei3ai/S012-i3-a
b2o$o!

EDIT: (3,1)c/7 linear growths in the same rule:

Code: Select all

x = 7, y = 19, rule = B2ei3ai/S012-i3-a
5b2o2$2bo$bobo$o2bo$b2o$4bo6$5b2o$6bo$2bo2bo$bobob2o$o2bo$b2o$4bo!

EDIT: Added second (3,1)c/7.

EDIT: Wait. Should these (3,1)c/7s even be possible? In Life, the maximum camel speed is c/8.

[jimmyChen2013]

Code: Select all

x = 4, y = 3, rule = B2ce4jr5c/S14y
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ce4jr5c7e/S14y5j
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 23, rule = B2ce4jr5c/S14y
b2o$o2bo$b2o18$b2o$o2bo$b2o!

[KittyTac]

Code: Select all

x = 4, y = 3, rule = B2ce4jr5c/S14y
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ce4jr5c7e/S14y5j
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 23, rule = B2ce4jr5c/S14y
b2o$o2bo$b2o18$b2o$o2bo$b2o!

The first one produces the Ruler Sequence.

[jimmyChen2013]

Code: Select all

x = 4, y = 3, rule = B2ce4jr5c/S14y
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 3, rule = B2ce4jr5c7e/S14y5j
b2o$o2bo$b2o!

Code: Select all

x = 4, y = 23, rule = B2ce4jr5c/S14y
b2o$o2bo$b2o18$b2o$o2bo$b2o!

The first one produces the Ruler Sequence.

Where?


Also Completely unrelated,
OCD:

Code: Select all

x = 1025, y = 1, rule = B2c34ce5ce/S2ce34ce5ce
1025o!

[KittyTac]

The one by muzik.

[Hdjensofjfnen]

Some oscillators:

Code: Select all

x = 81, y = 17, rule = B2-ae3aknr/S02-i3
3o8b3o9bobo11b3o11bob3o7bob3o6b3ob3o$b2o9b2o9bobo11bo13bobobo7bo2b2o7b
2obobo$2o11bo9b3o11b3o11bobobo7bob2o7b2o2bobo$3o8b3o11bo11b3o11bob3o7b
ob3o6b3ob3o8$9b2o26bo2bo11bo23bo$2bo6bobo11bo2bo10b4o10bo2bo11b2o6bo2b
2o$o2bo17bo6bo7bo4bo11b2o8b2ob2o6bobob2o$2bo9bobo8bo2bo10b2o2bo10b3o8b
2o10bo$13b2o22bo2b2o$38bo!

EDIT: One more!

Code: Select all

x = 6, y = 17, rule = B2-ae3aknr/S02-i3
3bo$2bobo$2b3o$2b3o9$bobo$ob2o$bo3bo$2b4o$2bo!

EDIT: A p4 I like:

Code: Select all

x = 6, y = 7, rule = B2-ae3aknr/S02-i3
2o$bo$bo$2o$3bo$2bo2bo$3b3o!

EDIT: A p2 that's rarer than it looks:

Code: Select all

x = 4, y = 2, rule = B2-ae3aknr/S02-i3
bobo$obo!

[Hdjensofjfnen]

Went through some n-cell combinations and found a few of interest.

Code: Select all

x = 21, y = 8, rule = B2-ae3aknr/S02-i3
18bo$16bo3bo$bo$3bo2$4bo13bo$o$18bo!

EDIT: I believe this is the record for a 3 cell methuselah. It lasts 22 gens:

Code: Select all

x = 3, y = 4, rule = B2-ae3aknr/S02-i3
obo3$o!

EDIT: Just edged out with two 3 cell M23s:

Code: Select all

x = 16, y = 4, rule = B2-ae3aknr/S02-i3
11bo$2bobo$o$13bobo!

EDIT: Which is completely blown away by this M71. Good job, that's maximal.

Code: Select all

x = 6, y = 3, rule = B2-ae3aknr/S02-i3
o$5bo$o!

EDIT: There is officially a new p6:

Code: Select all

x = 7, y = 7, rule = B2-ae3aknr/S02-i3
3bo$3bo$5bo$2o2bobo$3bobo$2bobo$3bo!

[dani]

Just barely edged that out, 3997 generations:

Code: Select all

x = 34, y = 2, rule = B2-ae3ai5c6c7c/S03acein4e5ei6cei7c8
obo$33bo!

[wwei23]

Just barely edged that out, 3997 generations:

Code: Select all

x = 34, y = 2, rule = B2-ae3ai5c6c7c/S03acein4e5ei6cei7c8
obo$33bo!

Code: Select all

x = 34, y = 2, rule = B2-ae3ai5c6c7c/S03acein4e5ei6cei7c8
obo$333bo!

I see, but this might be better. Not sure, not at my computer right now.

[KittyTac]

Just barely edged that out, 3997 generations:

Code: Select all

x = 34, y = 2, rule = B2-ae3ai5c6c7c/S03acein4e5ei6cei7c8
obo$33bo!

Code: Select all

x = 34, y = 2, rule = B2-ae3ai5c6c7c/S03acein4e5ei6cei7c8
obo$333bo!

I see, but this might be better. Not sure, not at my computer right now.

Ooh, wwei23 contributing something instead of shitposting? That's new.

[77topaz]

All he did was change a single number in Danny's RLE to trivially lengthen the reaction, so I think that post actually falls in the latter category. Or maybe that was your point to begin with?

[wwei23]

All he did was change a single number in Danny's RLE to trivially lengthen the reaction, so I think that post actually falls in the latter category. Or maybe that was your point to begin with?

My point is that increasing he number means a longer lifespan.

[dvgrn]

All he did was change a single number in Danny's RLE to trivially lengthen the reaction, so I think that post actually falls in the latter category. Or maybe that was your point to begin with?

The effects of wwei's suggested change aren't actually particularly trivial, but the specific suggestion doesn't seem to work out. It's not clear at first that the altered pattern will grow forever, but by T=100,000 there are a couple of high-period puffers heading west and south, and it doesn't look likely that anything else is going to be able to stop them.

It does seem pretty likely that moving that third dot to different faraway locations will keep producing longer- and longer-lived methuselahs, with no obvious upper bound. For example, the next pattern in wwei's series is in fact a methuselah, settling into an 8-tick cycle after the last domino spark ( [-9354,4370] ) fades out at T=44102.

Code: Select all

x = 3334, y = 2, rule = B2-ae3ai5c6c7c/S03acein4e5ei6cei7c8
obo$3333bo!

[Hdjensofjfnen]

Who can find a 3 dot reaction like this that evolves into the greatest amount of smaller blom reactions and fits inside a 10x10?

[Hdjensofjfnen]

2c/4 and 12c/24, the latter of which is more common:

Code: Select all

x = 19, y = 21, rule = B2cek3a/S0
bobo7bobo2bobo$4bo$o10$11bobo2bobo4$13bo2bo4$13bo2bo!

EDIT: Only natural objects I've found so far:

Code: Select all

x = 22, y = 8, rule = B2cek3a/S0
21bo2$5bo6bo7bo$o5bo14bo$13bo5bo$20bo2$19bo!

EDIT: The 12c/24 can be made into puffers easily:

Code: Select all

x = 19, y = 115, rule = B2cek3a/S0
o2$o9bo3bo3$o9bo3bo2$o6$3bo2$3bo9bo3bo3$3bo9bo3bo2$3bo33$o2$o9bo3bo3$o
9bo3bo2$o7$2bo2$2bo9bo3bo3$2bo9bo3bo2$2bo21$3bo2$3bo9bo3bo3$3bo9bo3bo
2$3bo5$3bobo2$3bobo8bo3bo3$3bobo8bo3bo2$3bobo!

[LaundryPizza03]

EDIT: And not only that:

Code: Select all

x = 6, y = 24, rule = B34c/S23History
C$3C$C.C$2.C17$3.D$3.D.D$3.3D$5.D!

How about this?

Code: Select all

x = 3, y = 4, rule = B34c/S238History
C$3C$C.C$2.C!

[LaundryPizza03]

This rule has an infinite family of moving objects built from two types of engines. This is a 366c/732 orthogonal spaceship:

Code: Select all

x = 15, y = 5, rule = 2-c3-a4ai/3/5
2.A3.2A3.2A$.3A.4A.4A$2ACA.A2CA.A3CA$A2.B.B2.B.B2.2A$2A.D.D2.D.D3.D!

[LaundryPizza03]

In this rule, a glider can shift a bi-block by 2 cells:

Code: Select all

x = 6, y = 9, rule = B36k/S2-ik34r
4bo$3bo$3b3o2$2o$2o2$2o$2o!