B3/S235i (ilife)

For discussion of other cellular automata.
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drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

B3/S235i (ilife)

Post by drc » January 1st, 2017, 6:47 pm

ilife is B3/S235i, yesiknowthere'salreadyonebutthathastwodifferentnamesandhasn'thadanyrepliessinceextrementhusiastposteditin2010okay, and it's, well, very explosive. The first thing you'll notice is that there's a p14 that evolves from the T-Tetromino, shown here:

Code: Select all

x = 2, y = 3, rule = B3/S235i
bo$2o$bo!
It's not the only new p14 in this rule:

Code: Select all

x = 7, y = 3, rule = B3/S235i
3ob3o$obobobo$3ob3o!
Orthogonal spaceship collection, most are new. This collection only has been searched until width 9 on all symmetries for c/2, c/3, c/4, 2c/5, c/6 (I can't figure out how to use ntzfind for diagonals, and xc/7 takes too long for my crap computer. The last one is a little bonus partial.):

Code: Select all

x = 534, y = 500, rule = B3/S235i
bo5bo6bo3bo6bo5bo3bo4bo3bo4bo3bo4bo3bo4bo3bo4bo3bo3bo7bo3bo10bo4bo11bo
3bo12bo4bo12bo12bo14bo5bo10bo6bo9bo5bo7b4o7bo8bo7bo9bo11bo17bo222bo$3o
3b3o4b3ob3o4b3o3b3ob3o2b3ob3o2b3ob3o2b3ob3o2b3ob3o2b3ob3ob3o5b3ob3o8b
3o2b3o9b3ob3o10b3o2b3o10b3o10b3o12bobo3bobo8bobob2obobo6b4o3b4o4b6o4b
4o6b4o5bo9bo11bo15bobobo220bo$5bo3bo2bo7bo3bob2o157b2ob2ob2ob2o6bo4b2o
4bo4b2o3bobo3b2o12b2o2bo6bo2b2o3bobo7bobo10bo14bo5bo219bo$6bo6bobobobo
5b3o157bo2b2ob2o2bo6bo3b4o3bo3bo3bobobobo3bo10bo2b4o4b4o2bo25bo14bob3o
bo219bo$3o5b2o15b2o3b3ob3o2b3ob3o2b3ob3o2b3ob3o2b3ob3o2b3ob3ob3o5b3ob
3o8b3o2b3o9b3ob3o10b3o2b3o10b3o10b3o10b3ob2ob2ob3o9b4o11bobobobo14bo4b
3o2b3o4bo2bobo7bobo9b3o11b2o7b2o211b2o3b3o3b2o$obo27bobobobo2bobobobo
20bobobobo2bobobobobobo98bo4bobo4bo5b2o2bo2bo2b2o5bob3ob3obo17bo2b2o2b
o7bob2o5b2obo9b3o11b2o7b2o213bobobobobo$32bobo6bo8b3o6b3o6bobo8bobo7bo
3b3o3bo4bo3b4o3bo9b3o14b4o12b3o10b3o9b2obobo3bobob2o3bo4bo2bo4bo6b3ob
3o14b3o4bo2bo4b3o3bo2b2ob2o2bo10b3o13b2o3b2o212bo3b3ob3o3bo$31bo3bo5bo
9bo8bo7bobo8bobo6b3o2b3o2b3o2b3o2b4o2b3o8b3o14b4o11b2ob2o8b2ob2o9bobo
3bo3bobo5bo10bo34bo4bo10b4ob4o7b2o7b2o7bob7obo211bo11bo$50bobo7bo7bobo
8bobo74bo5bo7bobobo8bob2ob5ob2obo21bobo2bo2bobo18b6o12bo3bo9b2ob2ob2ob
2o7b2obo3bob2o212b3obobob3o$67b2ob2o6b2ob2o86b2o3b2o6bob3o7b3obo3b2o8b
2o4b3o2b3o2b3o17bo4bo27bob2ob2obo7b2o9b2o210b2o2bo3bo2b2o$88b3o2b3o2b
3o2b3o2b4o2b3o8b3o14b4o10b2o3b2o8bobo12bob2ob2obo23b2o3b3o3b2o33b3o3b
3o7b2o2bobo2b2o6b2o2bo3bo2b2o210b4o5b4o$88bobo7bobo2bobo8bobo50b3o5b3o
4bob2o2b2ob2o2b2obo5bo6bo6bo5bo5bo17b6o26b2ob2ob2ob2o6b2o3b3o3b2o214bo
3bo$90bobo3bobo6bobo4bobo5b3obo3bob3o4b3obo4bob3o15b2o9b2o23b2o8b2o6bo
3bo3bo19bo4bo11bo5bo13bo15bo3bo216b2o5b2o$90bob2ob2obo6bob2o2b2obo5b3o
b2ob2ob3o4b3ob2o2b2ob3o15bo11bo4bo13bo4bobo6bobo5b2ob2ob2ob2o14b3o8b3o
5b2o7b2o6bo3bobo3bo10bo3bo216bo2bobo2bo$91b3ob3o8b3o2b3o5bo2b4ob4o2bo
2bo2b4o2b4o2bo13b2o11b2o2bo4bob3obo4bo24bobo17bo3bo6bo3bo20b2obo5bob2o
7b2o5b2o215bo5bo$90b2o5b2o6b2o6b2o68b2obobobobobob2o19b2o4bobo4b2o11bo
bobo6bobobo21b2o7b2o7bobobobobobo$124b2ob2o12b2o2b2o36b2o11b2o20bo2bob
obobo2bo13b2o10b2o20bobo9bobo6b2o5b2o217b3o$124bo3bo12bo4bo38b4obob4o
21bo4bo3bo4bo15b2o4b2o22bob2o9b2obo3b3o7b3o216bo$123bobobobo10bobo2bob
o39bo5bo24bo3b2ob2o3bo15bo8bo21bo3b2o5b2o3bo3bo2bo5bo2bo216bo$244b2o2b
2o2b2o2b2o20bobo2bo3bo2bobo3bo2bo7bo2bo214b3o$185b3o5b3o48bo4bo2bo4bo
23b2o5b2o7bo11bo214bo3bo$185b2o7b2o47b2o3bo4bo3b2o20b3o7b3o6b4o3b4o
214b7o$186bo7bo50b2o8b2o21b5o5b5o6bo2bobo2bo214bo2bobo2bo$185bo9bo50b
2o6b2o21bo5bo3bo5bo7b2ob2o217b2o3b2o$186bo7bo51bo8bo22bo4bo3bo4bo6bo2b
obo2bo215b2o3b2o$186b2o5b2o50bo10bo27bobo13bo5bo213b3o7b3o$188bo3bo53b
o8bo24bo3bobo3bo6b2obobobobob2o210b3o7b3o$186bobo3bobo48bo2bo8bo2bo25b
obo10b2obo2bo2bob2o210b2o9b2o$186bobo3bobo48b2o12b2o25bobo9b3obobobobo
b3o$186b2o5b2o89bobo10b2o9b2o211bo9bo$187b2o3b2o87bo2bobo2bo7b2o9b2o
211bobo5bobo$184bo5bo5bo84b2o5b2o11bo3bo218bo3bo$184b13o84b2o5b2o11bo
3bo216b3o3b3o$183bo13bo84b2o3b2o11bobobobo217bo3bo$184b3o2bobo2b3o86b
2ob2o11b2obobob2o$185bobo5bobo102b2o2bobo2b2o217bo$187bo2bo2bo90bobo
11bob3ob3obo216b3o$183bo2bo2b3o2bo2bo84bobobobo8bo2b3ob3o2bo$187b2o3b
2o87bobobobobo6bo2bobo3bobo2bo$186bo7bo86bobo3bobo7bobo7bobo215b3o$
186bo7bo87b7o8bobob2ob2obobo213bo5bo$185b2o7b2o88bobo9b2obo2bobo2bob2o
212bo5bo$185b3o5b3o89bo13b2o5b2o214bo7bo$188bobobo89bo5bo7bobo2b2ob2o
2bobo211bo2bobo2bo$188b2ob2o89bob3obo13bobo216bo2bo3bo2bo$188bo3bo89bo
b3obo13bobo215b2o9b2o$189b3o107b2obobob2o211b2o11b2o$190bo109bobobobo
213bobo7bobo$284b3o15bobo215b2o9b2o$188bo3bo91b3o11bo2bo3bo2bo213bo7bo
$186b3o3b3o90bo12b4o3b4o213bo7bo$185bo9bo89bo12b3o5b3o215bo3bo$184b2ob
7ob2o88bo13bo7bo216b2ob2o$186b2o5b2o88bobobo236bo3bo$188b5o88b2o5b2o
11b2ob2o$187bo5bo87b2o5b2o11b2ob2o219b3o$186b3obob3o85b3o5b3o234b3o$
186b2obobob2o84b3o7b3o11bo222bo$187bobobobo84bobo9bobo7bo2bo2bo219bo$
187bobobobo84bo13bo7bo2bo2bo219bo$186b2obobob2o105bo5bo217bobobo$189bo
bo87bobo7bobo9bo3bo216b2o5b2o$189bobo88b2o7b2o9bo5bo215b2o5b2o$186b2ob
obob2o84bo11bo5b2o2b5o2b2o211b3o5b3o$188b2ob2o85bo13bo4b2o3b3o3b2o210b
3o7b3o$187bo5bo85bo11bo5bo2bo5bo2bo209bobo9bobo$188b2ob2o326bo13bo$
188b2ob2o84bobob2o5b2obobo4b2o7b2o$189bobo86bob2o7b2obo4bob3o3b3obo
210bobo7bobo$189bobo91bo3bo9bo3b5o3bo212bo7bo$188bo3bo86bo3b2ob2o3bo6b
2obobobob2o214bo5bo$188bo3bo85b2o3b2ob2o3b2o9bobo218b3ob3o$186bobo3bob
o82bo6bobo6bo229b3ob3o$186bobo3bobo85bo3bobo3bo233b2ob2o$185b2ob5ob2o
87bo3bo15bo221b3o$189b3o89b3o3b3o12b3o220b3o$280bo9bo9bob3obo$185b2ob
2ob2ob2o83b2ob3ob3ob2o6b3o5b3o$185b3obobob3o84bo3bobo3bo8bo7bo217b3o$
188b2ob2o87bo3bobo3bo9b2o3b2o219bo$189b3o87bo3bo3bo3bo6bob2o3b2obo214b
obobobo$278bo5bobo5bo4bo11bo212bobo3bobo$189b3o92bobo9b2ob2o5b2ob2o
212b2o3b2o$186b2o5b2o85bob2o3b2obo7b3o5b3o211bo11bo$185bob2o3b2obo83b
2o9b2o231bo5bo$184b2obo5bob2o81b2o11b2o226bob2o7b2obo$184bo4bobo4bo82b
2o9b2o7b2o5b2o212bo11bo$183bo5bobo5bo81bo3bo3bo3bo6bo2bo3bo2bo$283b5o
233bo9bo$184b2o3bobo3b2o81b2o2bo5bo2b2o228b3o5b3o$187b2obob2o88b2obob
2o233b2o5b2o$522bo2bobo2bo$190bo88b5o3b5o233bobo$190bo88b3o7b3o231bo5b
o$186b3obob3o$188bo3bo86b2o9b2o233b3o$186b2o5b2o83bo2b3o3b3o2bo233bo$
279b2obobobobob2o234bo$185bo9bo81bo4bobobobo4bo231b3o$184b6ob6o81bo2b
2obobob2o2bo231bo3bo$183bo2bo7bo2bo80bo5bobo5bo230b7o$183b3o9b3o85bo3b
o234bo2bobo2bo$186bo7bo88b2ob2o235b2o3b2o$189b3o91b5o235b2o3b2o$183bo
5b3o5bo83bo7bo230b3o7b3o$184bo2bo5bo2bo83b2o7b2o229b3o7b3o$187bo5bo87b
2ob3ob2o230b2o9b2o$186bo2bobo2bo85bo3b3o3bo$184b2o3bobo3b2o83b3o5b3o
230bo9bo$184bo4bobo4bo85bo5bo232bobo5bobo$186bo2bobo2bo85bo2bo3bo2bo
233bo3bo$184bo4bobo4bo84b4ob4o232b3o3b3o$184bo4bobo4bo86b2ob2o236bo3bo
$282bobobobo$187bo5bo86b3o2bo2b3o235bo$188b5o332b3o$188bo3bo86bo5bo5bo
$189b3o88bo4bo4bo$189b3o89b3o3b3o235b3o$185b3o2bo2b3o327bo5bo$185b3o5b
3o84b4o3b4o232bo5bo$184bo2bo5bo2bo81b2o3bo3bo3b2o229bo7bo$184b2o9b2o
81b3o3bobo3b3o229bo2bobo2bo$185b2o7b2o84b3obobob3o230bo2bo3bo2bo$185bo
9bo324b2o9b2o$185b3o5b3o86bo5bo230b2o11b2o$185b4o3b4o84bobo5bobo229bob
o7bobo$184bo4bobo4bo323b2o9b2o$183bo5bobo5bo81b3o7b3o230bo7bo$188b2ob
2o86b2obo5bob2o230bo7bo$184bobob2ob2obobo81bo3b2o3b2o3bo231bo3bo$185bo
2b2ob2o2bo83b5o3b5o232b2ob2o$187bobobobo85b2o9b2o232bo3bo$188b2ob2o$
187bobobobo331b3o$525b3o$526bo$526bo$526bo$524bobobo$522b2o5b2o$522b2o
5b2o$521b3o5b3o$520b3o7b3o$519bobo9bobo$519bo13bo2$520bobo7bobo$522bo
7bo$523bo5bo$523b3ob3o$523b3ob3o$524b2ob2o$525b3o$525b3o3$525b3o$526bo
$523bobobobo$522bobo3bobo$523b2o3b2o$520bo11bo$523bo5bo$519bob2o7b2obo
$520bo11bo2$521bo9bo$521b3o5b3o$522b2o5b2o$522bo2bobo2bo$525bobo$523bo
5bo2$525b3o$526bo$526bo$525b3o$524bo3bo$523b7o$522bo2bobo2bo$523b2o3b
2o$523b2o3b2o$520b3o7b3o$520b3o7b3o$520b2o9b2o2$521bo9bo$521bobo5bobo$
524bo3bo$522b3o3b3o$524bo3bo2$526bo$525b3o3$525b3o$523bo5bo$523bo5bo$
522bo7bo$522bo2bobo2bo$521bo2bo3bo2bo$520b2o9b2o$519b2o11b2o$520bobo7b
obo$520b2o9b2o$522bo7bo$522bo7bo$524bo3bo$524b2ob2o$524bo3bo2$525b3o$
525b3o$526bo$526bo$526bo$524bobobo$522b2o5b2o$522b2o5b2o$521b3o5b3o$
520b3o7b3o$519bobo9bobo$519bo13bo2$520bobo7bobo$522bo7bo$523bo5bo$523b
3ob3o$523b3ob3o$524b2ob2o$525b3o$525b3o3$525b3o$526bo$523bobobobo$522b
obo3bobo$523b2o3b2o$520bo11bo$523bo5bo$519bob2o7b2obo$520bo11bo2$521bo
9bo$521b3o5b3o$522b2o5b2o$522bo2bobo2bo$525bobo$523bo5bo2$525b3o$526bo
$526bo$525b3o$524bo3bo$523b7o$522bo2bobo2bo$523b2o3b2o$523b2o3b2o$520b
3o7b3o$520b3o7b3o$520b2o9b2o2$521bo9bo$521bobo5bobo$524bo3bo$522b3o3b
3o$524bo3bo2$526bo$525b3o3$525b3o$523bo5bo$523bo5bo$522bo7bo$522bo2bob
o2bo$521bo2bo3bo2bo$520b2o9b2o$519b2o11b2o$520bobo7bobo$520b2o9b2o$
522bo7bo$522bo7bo$524bo3bo$524b2ob2o$524bo3bo2$525b3o$525b3o$526bo$
526bo$526bo$524bobobo$522b2o5b2o$522b2o5b2o$521b3o5b3o$520b3o7b3o$519b
obo9bobo$519bo13bo2$520bobo7bobo$522bo7bo$523bo5bo$523b3ob3o$523b3ob3o
$524b2ob2o$525b3o$525b3o3$525b3o$526bo$523bobobobo$522bobo3bobo$523b2o
3b2o$520bo11bo$523bo5bo$519bob2o7b2obo$520bo11bo2$521bo9bo$521b3o5b3o$
522b2o5b2o$522bo2bobo2bo$525bobo$523bo5bo2$525b3o$526bo$526bo$525b3o$
524bo3bo$523b7o$522bo2bobo2bo$523b2o3b2o$523b2o3b2o$520b3o7b3o$520b3o
7b3o$520b2o9b2o2$521bo9bo$521bobo5bobo$524bo3bo$522b3o3b3o$524bo3bo2$
526bo$525b3o3$525b3o$523bo5bo$523bo5bo$522bo7bo$522bo2bobo2bo$521bo2bo
3bo2bo$520b2o9b2o$519b2o11b2o$520bobo7bobo$520b2o9b2o$522bo7bo$522bo7b
o$524bo3bo$524b2ob2o$524bo3bo2$525b3o$525b3o$526bo$526bo$526bo$524bobo
bo$522b2o5b2o$522b2o5b2o$521b3o5b3o$520b3o7b3o$519bobo9bobo$519bo13bo
2$520bobo7bobo$522bo7bo$523bo5bo$523b3ob3o$523b3ob3o$524b2ob2o$525b3o$
525b3o3$525b3o$526bo$523bobobobo$522bobo3bobo$523b2o3b2o$520bo11bo$
523bo5bo$519bob2o7b2obo$520bo11bo2$521bo9bo$521b3o5b3o$522b2o5b2o$522b
o2bobo2bo$525bobo$523bo5bo2$525b3o$526bo$526bo$525b3o$524bo3bo$523b7o$
522bo2bobo2bo$523b2o3b2o$523b2o3b2o$520b3o7b3o$520b3o7b3o$520b2o9b2o2$
521bo9bo$521bobo5bobo$524bo3bo$522b3o3b3o$524bo3bo2$526bo$525b3o3$525b
3o$523bo5bo$523bo5bo$522bo7bo$522bo2bobo2bo$521bo2bo3bo2bo$520b2o9b2o$
519b2o11b2o$520bobo7bobo$520b2o9b2o$522bo7bo$522bo7bo$524bo3bo$524b2ob
2o$524bo3bo2$525b3o$525b3o$526bo$526bo$526bo$524bobobo$522b2o5b2o$522b
2o5b2o$521b3o5b3o$520b3o7b3o$519bobo9bobo$519bo13bo2$520bobo7bobo$522b
o7bo$523bo5bo$523b3ob3o$523b3ob3o$524b2ob2o$525b3o$525b3o3$525b3o$526b
o$523bobobobo$522bobo3bobo$523b2o3b2o$520bo11bo$523bo5bo$519bob2o7b2ob
o$520bo11bo2$521bo9bo$521b3o5b3o$523bo5bo$523b2o3b2o$523bo2bo2bo$523bo
bobobo2$526bo$525b3o$521b2obo3bob2o$521b2o3bo3b2o$520bo11bo$520bobo7bo
bo$524b5o2$522bo2bobo2bo$521b2obo3bob2o!
That first ortho ship can emulate c/2 spaceships akin to B2e3/S23{5i} (xvaLifeg), and I've found an almost-puffer (gens 0 and 13):

Code: Select all

x = 11, y = 8, rule = B3/S235i
bo3bo3bo$3ob3ob3o3$3ob3ob3o$obobobobobo$2bo3bo$2b2ob2o!
There are only two known diagonals, the glider and the c/39d butterfly. The butterfly can be made into butterfly wall ships, as shown here:

Code: Select all

x = 52, y = 52, rule = B3/S235i
3o45b3o$3bo47bo$3bo47bo$3bo47bo9$12b3o$15bo$15bo$15bo9$24b3o$27bo$27bo
$27bo9$36b3o$39bo$39bo$39bo9$48b3o$51bo$51bo$51bo!
I'm sure somebody will find a way to make puffers out of the butterflies, but they're actually very poorly sparky.

Would-be tagalong for the butterfly, but it travels in the wrong direction (it's even phased correctly, and can't be followed up by another butterfly to make some weird growing rake):

Code: Select all

x = 22, y = 22, rule = B3/S235i
o$o$o$b3o7$7b3o2$11bo$11bo$11bo4$18bo$18bo$18bo$19b3o!
This rule may explode, but it does have so-called 'Torus Methuselahs'. B-Heptomino in 32x32 stabilizes at generation 305928:

Code: Select all

x = 3, y = 4, rule = B3/S235i:T32,32
3o$2bo$2bo$bo!
Another thing about this rule is that lines generate big, temporary still lifes:

Code: Select all

x = 17, y = 1, rule = B3/S235i
17o!

Code: Select all

x = 100, y = 1, rule = B3/S235i
100o!
Growing torus puffer:

Code: Select all

x = 10, y = 2, rule = B3/S235i:T10,0
10o$5bo!

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