For discussion of other cellular automata.

I'm confused with the "permute" symmetry, can somebody help?
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 3075
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

permute just means that the order of cells doesn't matter. For instance, under permutational symmetry, all of these transitions do the same thing:
`0,1,1,1,0,0,0,0,0,10,1,0,1,1,0,0,0,0,10,0,0,0,1,1,0,1,0,1etc.`
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hgkhjfgh

nutshelltlifeDiscord 'Conwaylife Lounge'
M. I. Wright

Posts: 371
Joined: June 13th, 2015, 12:04 pm

B3/S23 with adjacent cells defined as cells one knight's move away. It's stable with smaller initial patterns but slowly expands with larger, denser ones.
`@RULE KnightLifeB3/S23 emulated on the knight's-move neighborhood@TABLEn_states:33neighborhood:Mooresymmetries:noneState 1: onState 2/3: off/on, neighbor NWState 4/5: off/on, neighbor SWState 6/7: off/on, neighbor NW&SWState 8/9: off/on, neighbor SEState 10/11: off/on, neighbor NW&SEState 12/13: off/on, neighbor SW&SEState 14/15: off/on, neighbor NW&SW&SEState 16/17: off/on, neighbor NEState 18/19: off/on, neighbor NW&NEState 20/21: off/on, neighbor SW&NEState 22/23: off/on, neighbor NW&SW&NEState 24/25: off/on, neighbor SE&NEState 26/27: off/on, neighbor NW&SE&NEState 28/29: off/on, neighbor SW&SE&NEState 30/31: off/on, neighbor NW&SW&SE&NEState 32: on, no neighborsvar live={1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,32}var dead={0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}var n0={0,32,4,5,8,9,12,13} //neither N diagonalvar n1={2,3,6,7,10,11,14,15,16,17,20,21,24,25,28,29}var n2={18,19,22,23,26,27,30,31} //both N diagonalsvar w0={0,32,8,9,16,17,24,25} //neither W diagonalvar w1={2,3,4,5,10,11,12,13,18,19,20,21,26,27,28,29}var w2={6,7,14,15,22,23,30,31} //both W diagonalsvar s0={0,32,2,3,16,17,18,19} //neither S diagonalvar s1={4,5,6,7,8,9,10,11,20,21,22,23,24,25,26,27}var s2={12,13,14,15,28,29,30,31} //both S diagonalsvar e0={0,32,2,3,4,5,6,7} //neither E diagonalvar e1={8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}var e2={24,25,26,27,28,29,30,31} //both E diagonalsvar a={live,dead}var b=avar c=bvar d=cvar e=dvar f=evar g=fvar h=g0,a,0,b,0,c,0,d,1,21,a,0,b,0,c,0,d,1,30,a,0,b,0,c,1,d,0,41,a,0,b,0,c,1,d,0,50,a,0,b,0,c,1,d,1,61,a,0,b,0,c,1,d,1,70,a,0,b,1,c,0,d,0,81,a,0,b,1,c,0,d,0,90,a,0,b,1,c,0,d,1,101,a,0,b,1,c,0,d,1,110,a,0,b,1,c,1,d,0,121,a,0,b,1,c,1,d,0,130,a,0,b,1,c,1,d,1,141,a,0,b,1,c,1,d,1,150,a,1,b,0,c,0,d,0,161,a,1,b,0,c,0,d,0,170,a,1,b,0,c,0,d,1,181,a,1,b,0,c,0,d,1,190,a,1,b,0,c,1,d,0,201,a,1,b,0,c,1,d,0,210,a,1,b,0,c,1,d,1,221,a,1,b,0,c,1,d,1,230,a,1,b,1,c,0,d,0,241,a,1,b,1,c,0,d,0,250,a,1,b,1,c,0,d,1,261,a,1,b,1,c,0,d,1,270,a,1,b,1,c,1,d,0,281,a,1,b,1,c,1,d,0,290,a,1,b,1,c,1,d,1,301,a,1,b,1,c,1,d,1,311,a,b,c,d,e,f,g,h,32a,n2,b,e1,c,s0,d,w0,e,1a,n2,b,e0,c,s1,d,w0,e,1a,n2,b,e0,c,s0,d,w1,e,1a,n1,b,e2,c,s0,d,w0,e,1a,n0,b,e2,c,s1,d,w0,e,1a,n0,b,e2,c,s0,d,w1,e,1a,n1,b,e0,c,s2,d,w0,e,1a,n0,b,e1,c,s2,d,w0,e,1a,n0,b,e0,c,s2,d,w1,e,1a,n1,b,e0,c,s0,d,w2,e,1a,n0,b,e1,c,s0,d,w2,e,1a,n0,b,e0,c,s1,d,w2,e,1a,n1,b,e1,c,s1,d,w0,e,1a,n1,b,e1,c,s0,d,w1,e,1a,n1,b,e0,c,s1,d,w1,e,1a,n0,b,e1,c,s1,d,w1,e,1live,n1,a,e1,b,s0,c,w0,d,1live,n1,a,e0,b,s1,c,w0,d,1live,n1,a,e0,b,s0,c,w1,d,1live,n0,a,e1,b,s1,c,w0,d,1live,n0,a,e1,b,s0,c,w1,d,1live,n0,a,e0,b,s1,c,w1,d,1live,n2,a,e0,b,s0,c,w0,d,1live,n0,a,e2,b,s0,c,w0,d,1live,n0,a,e0,b,s2,c,w0,d,1live,n0,a,e0,b,s0,c,w2,d,1dead,a,b,c,d,e,f,g,h,0live,a,b,c,d,e,f,g,h,0`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1882
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Not my unrecognized CA, but I found Brian Prentice's 'ships' rule - here - really interesting. Here's a collection of sorts:
`x = 62, y = 81, rule = Ships22.EC\$21.BA3\$20.4D\$20.EABABABA\$20.7DE.C3\$28.E\$27.BA\$22.2D5.C\$27.BA2\$20.12DE3.C\$20.EBABABABABABABABA\$20.16DC\$25.D\$26.BA\$32.C\$23.2D\$23.BAB\$26.C3\$24.2DE\$24.ABABA\$24.2DE2\$24.2DE\$23.DABABA\$23.DEDE3\$24.2D\$23.EBAB\$27.C5\$26.DE.C10.D2.C\$26.BA12.AB\$26.DE.C10.D2.C2\$.2D10.2D\$DABD8.DBAD\$2.C10.C\$6.AB20.2D\$27.DABD6.D11.D\$29.C8.BA10.BA\$.D2C9.2CD13.DBAD2.2D.BA.2D5.2DBABABABABA2D\$.DB.AB8.BD14.2D5.4D9.10D\$.DA11.AD\$2.E11.E\$29.E\$28.DB\$2.E11.E13.DA\$.DB11.BD11.2D9.C\$.DA11.AD14.AB\$2D13.2D\$3.AB\$25.D2C\$25.DB.AB\$25.DA11.C\$26.E3\$25.2D\$24.DABD\$27.C\$28.AB\$37.C4\$26.6DE\$31.BA\$37.C\$32.AB\$26.2D!`
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God save humanity.

hgkhjfgh

nutshelltlifeDiscord 'Conwaylife Lounge'
M. I. Wright

Posts: 371
Joined: June 13th, 2015, 12:04 pm

This rule:
`@RULE Billiard@TABLEneighborhood:Mooresymmetries:rotate4reflectn_states:2var a={0,1}var b={0,1}var c={0,1}var d={0,1}var e={0,1}var f={0,1}var g={0,1}var h={0,1}0,1,1,0,0,1,0,0,0,10,1,0,0,1,0,1,0,0,10,1,1,0,0,0,1,0,0,10,1,1,0,1,0,0,0,0,10,1,0,1,0,0,1,0,0,10,1,1,0,0,0,0,1,0,10,1,1,0,0,0,0,0,1,10,0,1,0,1,0,1,0,0,10,1,1,1,0,0,0,0,0,10,1,0,1,0,1,0,0,0,10,0,0,1,1,1,1,1,1,10,1,0,1,0,1,1,1,1,10,0,1,1,1,0,1,1,1,10,0,1,1,0,1,1,1,1,10,1,0,1,1,1,0,1,1,11,0,1,0,0,0,0,0,0,11,1,0,0,0,0,0,0,0,11,0,1,0,0,0,1,0,0,11,1,0,1,0,0,0,0,0,11,1,1,0,0,0,0,0,0,11,0,1,0,1,0,0,0,0,11,1,0,0,0,1,0,0,0,11,1,0,0,1,0,0,0,0,11,1,1,0,0,1,0,0,0,11,1,0,0,1,0,1,0,0,11,1,1,0,0,0,1,0,0,11,1,1,0,1,0,0,0,0,11,1,0,1,0,0,1,0,0,11,1,1,0,0,0,0,1,0,11,1,1,0,0,0,0,0,1,11,0,1,0,1,0,1,0,0,11,1,1,1,0,0,0,0,0,11,1,0,1,0,1,0,0,0,11,1,1,0,0,1,1,0,0,11,1,1,1,0,1,0,0,0,11,1,1,0,1,0,0,0,1,11,1,1,0,0,0,1,1,0,11,1,1,0,0,1,0,0,1,11,1,1,0,1,0,1,0,0,11,1,1,1,0,0,1,0,0,11,1,1,0,0,1,0,1,0,11,1,1,0,1,0,0,1,0,11,1,1,0,1,1,0,0,0,11,1,0,1,0,1,0,1,0,11,0,1,0,1,0,1,0,1,11,1,1,1,1,0,0,0,0,11,0,0,1,1,0,1,1,1,11,0,0,1,0,1,1,1,1,11,0,0,1,1,1,0,1,1,11,0,1,1,0,1,0,1,1,11,0,0,1,1,1,1,1,0,11,0,1,0,1,1,0,1,1,11,0,0,1,1,1,1,0,1,11,0,1,0,1,0,1,1,1,11,0,0,0,1,1,1,1,1,11,1,0,1,0,1,0,1,1,1# Death otherwise1,a,b,c,d,e,f,g,h,0`

Has a small P17:
`x = 18, y = 11, rule = Billiard5bo2b2o2bo\$3b3o2b2o2b3o\$3bo10bo\$2b2ob8ob2o\$5bobo4bo\$2b2ob3o2b3ob2o\$2b2obobo4bob2o\$5b8o\$2b2o10b2o\$o2b3o2b2o2b3o2bo\$2o3bo2b2o2bo3b2o!`

It also has various other oscillators, though I have not made a stamp collection because the rule was imagined about 5 minutes ago. It is normally explosive, though immovable objects are possible. (The P17 was discovered while randomly filling the area inside small boxes.)
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Nice, although I'm not calling it billiard. (There's many rules with that name already, including one of mine, so it's too common to use for a well-enough studied rule)
Last edited by gmc_nxtman on August 7th, 2017, 6:55 pm, edited 1 time in total.

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

gmc_nxtman wrote:I'm not calling it billiard.

I did think the name sounded generic. I'll try to think of another name, unless you or anyone else have any ideas.

Divider

P2
`x = 7, y = 9, rule = Billiard2b2o\$2b2o2\$6o\$bobobo\$b6o2\$3b2o\$3b2o!`

P4
`x = 18, y = 11, rule = Billiard2o3bo2b2o2bo\$o2b3o2b2o2b3o\$2b2o10bo\$5b8ob2o\$2b2obo6bo\$2b2ob3ob4ob2o\$5bo6bob2o\$2b2ob8o\$3bo10b2o\$3b3o2b2o2b3o2bo\$5bo2b2o2bo3b2o!`

P5
`x = 19, y = 14, rule = Billiard3bo2b2o2b2o\$b3o2b2o2b2o\$bo\$2ob11ob2o\$3bo9bob2o\$3bobobobobobo\$2obobobobobobo\$2obo3bobo3b3ob2o\$3bobobob4o2bob2o\$3bobobobo2bo2bo\$2ob13ob2o\$bo15bo\$b3o2b2ob2ob2ob3o\$3bo2b2ob2ob2obo!`

P6
`x = 14, y = 12, rule = Billiard3bo2b2o2bo\$b3o2b2o2b3o\$bo10bo\$2ob8ob2o\$3bobo2bobo\$2ob6obob2o\$2obo2b5ob2o\$3bo2bobobo\$2ob8ob2o\$bo10bo\$b3o2b2o2b3o\$3bo2b2o2bo!`

P10
`x = 20, y = 14, rule = Billiard3bo2b2ob2ob2o2bo\$b3o2b2ob2ob2o2b3o\$bo16bo\$2ob14ob2o\$3bobobobo3bo2bo\$3b3obob3obo2bo\$2obo5bobob2obob2o\$2obo5bobo4bob2o\$3b3o2b7obo\$3bo4bob3obobo\$2ob14ob2o\$bo16bo\$b3o2b2ob2ob2o2b3o\$3bo2b2ob2ob2o2bo!`

They can most likely be improved.
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Here are improvements on your billiard-tables:
`x = 81, y = 12, rule = Billiard2b2o12b2o26b2o\$31bobobo8bobo11b2o12bo2bo\$6o8b6o11bobob3o34bo2bo\$bo3bo13bo8b2obo10b7o9b4o\$b6o5b3ob4ob2o8bob3o10bobo9bobo9b8o\$19bo11bo10b3obobobo4b2obobo9bo6bo\$3b2o9b6o10b6o8bobobobo4bob2o2b2o4b2obo2bob3ob2o\$40b3obo3bo8bo12bo6bo\$16b2o14b2o8bob5o7b7o7b8o2\$46bo11bobo11bo2bo\$46bo11b2o12bo2bo!`

Minimal p2?
`x = 4, y = 7, rule = Billiard2o2\$4o2\$4o2\$2o!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1882
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

`x = 81, y = 12, rule = Billiard2b2o12b2o26b2o\$31bobobo8bobo11b2o12bo2bo\$6o8b6o11bobob3o34bo2bo\$bo3bo13bo8b2obo10b7o9b4o\$b6o5b3ob4ob2o8bob3o10bobo9bobo9b8o\$19bo11bo10b3obobobo4b2obobo9bo6bo\$3b2o9b6o10b6o8bobobobo4bob2o2b2o4b2obo2bob3ob2o\$40b3obo3bo8bo12bo6bo\$16b2o14b2o8bob5o7b7o7b8o2\$46bo11bobo11bo2bo\$46bo11b2o12bo2bo!`

Nice!
`x = 4, y = 7, rule = Billiard2o2\$4o2\$4o2\$2o!`

I found this:
`x = 3, y = 5, rule = Billiardo\$3o2\$3o\$2bo!`

...Which is probably the minimum.

Also, P3:
`x = 10, y = 10, rule = Billiard4b2ob2o\$9bo\$2b6obo\$2bo4bo\$obob4o\$obobo\$2bobob2o\$ob3ob2o\$o\$b2o!`

At first glance it doesn't look like it can be improved, though it probably can. (Slicing the rotor in half?)

EDIT: P8
`x = 11, y = 13, rule = Billiard5bo\$5bo2\$3b5o\$3bo3bo\$bobobobob2o\$o2b3obo2bo\$2ob3obobo\$3bobobo\$3b5o2\$5bo\$5bo!`

EDIT2: Smallest oscillators so far for each period:
`x = 32, y = 603, rule = Billiard6b2o2b2o2b2o2bo\$6b2o2b2o2b2o2b3o2\$18b3o\$14b2o4bo\$14b2o3\$6b2o2b2o2b2o\$6b2o2b2o2b2o3\$6b2o\$6b2o3\$6b2o2b2o2b2o\$6b2o2b2o2b2o22\$6b2o2b2o2b2o6b2ob2o\$6b2o2b2o2b2o11bo\$20b6obo\$20bo4bo\$14b2o2bobob4o\$14b2o2bobobo\$20bobob2o\$18bob3ob2o\$6b2o2b2o2b2o2bo\$6b2o2b2o2b2o3b2o3\$14b2o\$14b2o3\$6b2o2b2o2b2o\$6b2o2b2o2b2o22\$6b2o6b2o6b2o\$6b2o6b2o\$20b6o\$22bo2bo\$6b2o6b2o2b3ob2obob2o\$6b2o6b2o6bo2bo\$20b6o2\$6b2o2b2o2b2o6b2o\$6b2o2b2o2b2o3\$14b2o\$14b2o3\$14b2o\$14b2o22\$6b2o2b2o2b2o5bobobo\$6b2o2b2o2b2o5bobob3o\$18b2obo\$21bob3o\$6b2o13bo\$6b2o12b6o2\$22b2o\$6b2o2b2o2b2o\$6b2o2b2o2b2o3\$14b2o\$14b2o3\$6b2o2b2o2b2o\$6b2o2b2o2b2o22\$6b2o2b2o2b2o6b2o\$6b2o2b2o2b2o6bobo2\$20b7o\$6b2o16bobo\$6b2o12b3obobobo\$22bobobobo\$18b3obo3bo\$6b2o2b2o2b2o4bob5o\$6b2o2b2o2b2o\$24bo\$24bo\$6b2o6b2o\$6b2o6b2o3\$6b2o2b2o2b2o\$6b2o2b2o2b2o22\$6b2o2b2o2b2o\$6b2o2b2o2b2o3\$14b2o\$14b2o3\$14b2o\$14b2o3\$14b2o\$14b2o3\$14b2o\$14b2o22\$6b2o2b2o2b2o7bo\$6b2o2b2o2b2o7bo2\$21b5o\$6b2o6b2o5bo3bo\$6b2o6b2o3bobobobob2o\$18bo2bob3o2bo\$18b2obob3obo\$6b2o2b2o2b2o5bobobo\$6b2o2b2o2b2o5b5o2\$23bo\$6b2o6b2o7bo\$6b2o6b2o3\$6b2o2b2o2b2o\$6b2o2b2o2b2o22\$6b2o2b2o2b2o\$6b2o2b2o2b2o3\$6b2o6b2o\$6b2o6b2o3\$6b2o2b2o2b2o\$6b2o2b2o2b2o3\$14b2o\$14b2o3\$14b2o\$14b2o22\$2o4b2o2b2o2b2o5b2o\$2o4b2o2b2o2b2o\$21b4o\$21bobo\$2o4b2o6b2o2b2obobo\$2o4b2o6b2o2bob2o2b2o\$20bo\$19b7o\$2o4b2o6b2o\$2o4b2o6b2o5bobo\$21b2o2\$2o4b2o6b2o\$2o4b2o6b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o22\$2o12b2o\$2o12b2o3\$2o12b2o\$2o12b2o3\$2o12b2o\$2o12b2o3\$2o12b2o\$2o12b2o3\$2o12b2o\$2o12b2o22\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o3\$2o12b2o\$2o12b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o3\$2o4b2o\$2o4b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o22\$2o4b2o2b2o2b2o6b2ob2o\$2o4b2o2b2o2b2o6bob2obo2\$20b10o\$2o12b2o4bo8bo\$2o12b2o2bobo8bobo\$18bobo8bobo\$20bo8bo\$2o4b2o2b2o2b2o4b10o\$2o4b2o2b2o2b2o\$22bob2obo\$23b2ob2o\$2o12b2o\$2o12b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o22\$2o4b2o6b2o\$2o4b2o6b2o3\$2o4b2o6b2o\$2o4b2o6b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o3\$2o12b2o\$2o12b2o3\$2o12b2o\$2o12b2o22\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o3\$2o4b2o\$2o4b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o3\$2o12b2o\$2o12b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o22\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o3\$2o4b2o\$2o4b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o3\$2o4b2o6b2o\$2o4b2o6b2o3\$2o4b2o2b2o2b2o\$2o4b2o2b2o2b2o22\$2o4b2o2b2o2b2o7bo2bo\$2o4b2o2b2o2b2o7bo2bo2\$21b8o\$2o12b2o5bob2o3bo\$2o12b2o2b2ob4ob3ob2o\$21bob2o3bo\$21b8o\$2o12b2o\$2o12b2o7bo2bo\$23bo2bo2\$2o12b2o\$2o12b2o3\$2o12b2o\$2o12b2o!`

EDIT3: Sorry for such a long post, but here's a P13:
`x = 18, y = 16, rule = Billiard2\$6b2ob2o\$6bob2obo2\$4b10o\$4bo8bo\$2bobo8bobo\$2bobo8bobo\$4bo8bo\$4b10o2\$6bob2obo\$7b2ob2o!`
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Billabob wrote:EDIT: P8
`RLE`

That's a p10, and it's bigger than mine.
Current stamp collection of smallest oscillators:
`x = 182, y = 25, rule = Billiard155bo2bo\$68bobo84bo2bo\$68bobo52bo\$86bo35bo14bo2bo12b8o\$55bo10b7o14bo10b2o2b2o33bo2bo12bobo4bo12bo2bo\$54bo11bo5bo11b3obo31b5o25b2ob2o2bo2bob2o7b8o\$52bo10b2obo5bob2o8bobo9b10o18bo10b8o10bo3bo2bo10bobobo2bo\$13bo11bo12bobobo7b7o9bo5bo8b2obobo9bo8bo14b3obob2o7bo6bo10bob3o2bo9b2obobo2bobo\$11b5o7b5o10bobob3o9bobo6b2obo5bob2o5bob2o2b2o5bobo8bobo14bobo7b2obo2bob4o6b2obo4bobob2o5bobo4bobobo\$bo9bo15bo8bobo11b3obob2o8bo5bo10bo10bobo8bobo10b3obobo10bo6bo10bo6bo10bo4bobo\$b3o6b2ob3o6bob5o7bobob3o6bo2bobobobo7b7o9b7o7bo8bo14bobobob2o7b8o10b8o10b8o\$11bobo8b2obobobo8bo11bobo3bo27bo11b10o16bobo51bo\$b3o7bob3o11bo10b5o6b2ob5o11bobo15bo35bobo12bo2bo14bo2bo14bo\$3bo11bo11bo12bo13bo13bobo16bo10b2o2b2o33bo2bo14bo2bo14bo2\$119bo2bobobo\$obobo6bobobo7bo3bo10bobobo8bobobo11bobobo9bo2bobobo8bo2bobobo30bo2bobobo8bobobo2bobobo7bo3bo2bobobo\$119bo2bo\$4bo10bo7bo3bo10bo12bo19bo9bo2bo3bo8bo6bo30bo6bo12bo6bo7bo3bo2bo3bo\$119bo2bobobo\$obobo6bobobo7bobobo10bobobo8bobobo15bo9bo2bo3bo8bo2bobobo30bo6bo8bobobo2bobobo7bobobo2bo3bo\$119bo2bo3bo\$o14bo11bo14bo8bo3bo15bo9bo2bo3bo8bo6bo30bo6bo8bo6bo15bo2bo3bo\$119bo2bobobo\$obobo6bobobo11bo10bobobo8bobobo15bo9bo2bobobo8bo2bobobo30bo6bo8bobobo2bobobo11bo2bobobo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1882
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

BlinkerSpawn wrote:That's a p10, and it's bigger than mine.

Agh. Sorry, I'm an idiot.
BlinkerSpawn wrote:Current stamp collection of smallest oscillators:
`dgasdfs`

Nice! I especially like the P7 and P16.

Here's a P12:
`x = 11, y = 13, rule = Billiard5b2o2\$3b3obo\$3bob3o\$b3ob4o\$2bo2b2o\$obobobob3o\$obob3obo\$2bobobo\$2b5o2\$4bo\$4bo!`

EDIT: 15-cell P4:
`x = 5, y = 7, rule = Billiard2b2o2\$4o\$3bo\$2ob2o\$bobo\$bobo!`
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Way-too-large p8:
`x = 14, y = 15, rule = Billiard5bo2bo\$5bo2bo2\$3b8o\$3bo6bo\$2ob4obobob2o\$3bob2o3bo\$3b6obo\$bobo6bobo\$bob6obobo\$3bob2o3bo\$3b8o2\$5bo2bo\$5bo2bo!`

EDIT: 35 fewer cells
`x = 9, y = 7, rule = Billiard2o5b2o\$bo5bo\$bobobobo\$2ob3ob2o\$bo3bobo\$b7o\$3bobo!`

EDIT: Even smaller!
`x = 9, y = 7, rule = Billiard2o5b2o\$bo5bo\$bobobobo\$2obobob2o\$bo5bo\$b3ob3o\$3bobo!`

EDIT: Is this the smallest possible? (21 cells)
`x = 8, y = 7, rule = Billiard6b2o\$6bo\$b2obobo\$2bobob2o\$2bo3bo\$obob3o\$b2obo!`

Could this become a sub-40 p7?
`x = 11, y = 9, rule = Billiardb2o2b2o2\$b8o\$bo6bo\$7ob2o\$bobo2bobo\$b4obobo\$4bob3obo\$b2o5bobo!`
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M. I. Wright

Posts: 371
Joined: June 13th, 2015, 12:04 pm

M. I. Wright wrote:EDIT: Is this the smallest possible? (21 cells)
`x = 8, y = 7, rule = Billiard6b2o\$6bo\$b2obobo\$2bobob2o\$2bo3bo\$obob3o\$b2obo!`

Here's one with 20 cells, at the cost of larger bounding box:
`x = 9, y = 7, rule = Billiard7b2o\$7bo\$3bobobo\$3bobob2o\$2obo3bo\$3bob3o\$3bobo!`

M. I. Wright wrote:Could this become a sub-40 p7?
`x = 11, y = 9, rule = Billiardb2o2b2o2\$b8o\$bo6bo\$7ob2o\$bobo2bobo\$b4obobo\$4bob3obo\$b2o5bobo!`

I don't see a line of attack right now, but maybe after I get some sleep I'll be able to figure it out.
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

An infinite family of babbling brooks exists in this automaton, and presumably an infinite number of periods can be achieved this way. This is not to say that the method below proves the CA omniperiodic, or provides anything remotely close to minimal for a given period. But, an an example, here is a period 38 oscillator:
`x = 19, y = 16, rule = Billiard7b2o\$obobo\$obob5o\$2bo4bo2b2o\$b5obo\$5bob5o\$b2o2bo4bo2b2o\$4b5obo\$8bob5o\$4b2o2bo4bo2b2o\$7b5obo\$11bob5o\$7b2o2bo4bo\$10b5obo\$14bobobo\$10b2o2bobobo!`

EDIT: Completely unrelated, here's a 34-cell P28, and a related 36-cell P21:
`x = 29, y = 22, rule = Billiard4b2o2b2o13b2o2b2o2\$2b8o11b8o\$2bobobo14bobobo\$obobo3b2o9bobobo3b2o\$b2obobo12bobobobo\$2bobobob2o11bobobob2o\$obob3o14bob3o\$bo4bo18bo5\$bobobo2bo8bobobo2bobobo2\$5bo2bo12bo2bo3bo2\$bobobo2bo8bobobo2bobobo2\$bo6bo8bo6bo3bo2\$bobobo2bo8bobobo2bobobo!`

EDIT 2: Also, a 45-cell P34:
`x = 13, y = 11, rule = Billiard8bo\$3bo4bo\$2bobobob3obo\$4bobo3bobo\$3bo4b3o\$3bobo4bobo\$2obobo2b3obo\$3bobo4bo\$3b8o2\$5b2o2b2o!`
Last edited by Sphenocorona on September 27th, 2015, 5:12 pm, edited 2 times in total.
Sphenocorona

Posts: 480
Joined: April 9th, 2013, 11:03 pm

A P48:
`x = 13, y = 15, rule = Billiard5bobo\$5bobo2\$3b7ob2o\$o2bo3bobobo\$bob5obo2bo\$2obobobo2bobo\$o2b3o2b3o\$bobo6bobo\$2obobobobo2bo\$3bobobobobo\$3b7ob2o2\$5bobo\$5bobo!`

P36:
`x = 14, y = 13, rule = Billiard5bo2bo\$5bo2bo2\$3b8o\$3bo4bobo\$2obob6ob2o\$3bo2b2o2bo\$2ob6obob2o\$3bobo4bo\$3b8o2\$5bo2bo\$5bo2bo!`

P80:
`x = 16, y = 16, rule = Billiard5bo2bobo\$5bo2bobo2\$3b10o\$3bobo6bo\$2obob8ob2o\$3bobo6bo\$2obobob2ob3o\$3bobob2obobob2o\$3bobo4bobo\$2obob8ob2o\$3bo8bo\$3b10o2\$5bobo2bo\$5bobo2bo!`

P19!
`x = 14, y = 12, rule = Billiard6bo\$2b2o2bo\$bo\$bob6o\$3bobobobo\$3bobobo2bo\$2obob4obo\$3bob2obobob2o\$3b8obo\$12bo\$5bobo2b2o\$5bobo!`

gameoflifeboy

Posts: 474
Joined: January 15th, 2015, 2:08 am

Reduction of three of gameoflifeboy's oscillators: P48 to just 53 cells, P36 (bounding box reduction only), P19 to 38 cells:
`x = 47, y = 13, rule = Billiard2b2ob2o2\$2b7o10b2o2b2o14b2o\$2bo3bobo\$obo3bob3o8b8obo8b6o\$obo3bo12bo6bobo8bobobobo\$2bo3b3o8bob5o2bo8bobobobo2bo\$obo3bo10bobo6bobo6bobo4bobo\$ob5ob3o8bo2b5obo8bo4bobobo\$2bo3bobo8bobo6bo10b8obo\$2b7o8bob8o\$37b2o2b2o\$2b2ob2o14b2o2b2o!`

30 cell P11:
`x = 9, y = 10, rule = Billiard4bo\$2b3o\$2bobobo\$obobo2bo\$obo2b3o\$2bo3bo\$2bobobobo\$b4obobo\$2bo\$2bo!`
Sphenocorona

Posts: 480
Joined: April 9th, 2013, 11:03 pm

Smaller p7:
`x = 10, y = 7, rule = Billiard3bobo\$o2bob3obo\$bobo3bobo\$3bobobo\$2b4obo\$3bo\$3bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1882
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

A fuse:
`x = 47, y = 5, rule = Billiardobo\$6o\$4b3o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o\$6o\$obo!`

I wonder if spaceships are possible in this rule.
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Billabob wrote:I wonder if spaceships are possible in this rule.

Billiard in Alan Hensel's notation is B36-e/S12345, so if you can find Paul Tookes's modified gfind program that accepts that it shouldn't be too difficult to begin searches.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1882
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Billabob wrote:I wonder if spaceships are possible in this rule.

Billiard in Alan Hensel's notation is B36-e/S12345, so if you can find Paul Tookes's modified gfind program that accepts that it shouldn't be too difficult to begin searches.

I think consideration of the nearby semi-totalistic CA space is a necessary first step before embarking on that search.
From a brief interrogation of the glider DB, I am unable to find any rule with B3x/S12345y with known gliders. I think it's reasonable to assume this makes gliders in B36-e/S12345 unlikely to be easily found. However, whilst running a few exploratory searches in the most similar rule ( B36/S12345 ) I did find a few 2c/4 wickstretchers:
`x = 73, y = 62, rule = B36/S123453bobobobobobobobobobobobobobobobobobobobobobobobobo\$3bobob7ob3ob5obobobobob3obobobob5ob5o\$9bobobo2b4ob5obobob5obobob3obob2o3b2o\$b6obob6o2b2obo3bob7ob11o2b2obob4o\$2bobobobob3obobob4ob2ob4obobobo3b3obobo5b2ob2ob2o\$2bobobobobobobobob7ob2obobob4o2bo4b2o6bob6o\$19b3o3b2obob2ob2ob2ob3ob2o4b2ob2ob4o\$19ob4ob2ob2ob3o3b3ob5o3b2obob4o\$2bobobobobobobobobobob9o3b4ob2ob8o2bob5o\$28b2o5b2o3b2obo3b3ob2obo3b2o\$28b2o5b2o3b2obo3b3ob2obo3b2o\$2bobobobobobobobobobob9o3b4ob2ob8o2bob5o\$19ob4ob2ob2ob3o3b3ob5o3b2obob4o\$19b3o3b2obob2ob2ob2ob3ob2o4b2ob2ob4o\$2bobobobobobobobob7ob2obobob4o2bo4b2o6bob6o\$2bobobobob3obobob4ob2ob4obobobo3b3obobo5b2ob2ob2o\$b6obob6o2b2obo3bob7ob11o2b2obob4o\$9bobobo2b4ob5obobob5obobob3obob2o3b2o\$3bobob7ob3ob5obobobobob3obobobob5ob5o\$3bobobobobobobobobobobobobobobobobobobobobobobobobo20\$bobobobobobobobobobobobobobobobo\$bobobobobobobobobobobobobobob5o\$26o6bobobobobobobobobobobobobobobobobobo\$28bob3obob7ob3ob3obobobobobobobob4o\$2bobobobobobobobobobobobobobob4o4bob2obob2obob4ob2o2bobob2obobob2o\$2bobobobob3obobobob3obobobob3obo2b4ob2o4bo2b2ob3o2b8obo2b2o\$b10ob6o2b2o2bob2o4bobo5b2ob4ob4o4bo2bo5bobob4o\$12b3ob2o4b2ob5ob7o2b4o5b2o3b6o4b2obob3o\$3bobobobob3obob3obob3obobob3obobobob3ob6o2bo5bo6bobobo\$3bobobobobobobobobobobobobobobobobobobobobobobo5bobobob3o4bobobo\$51bob5obob11o\$b49o6bob3o2b6o2b2o\$51bob5obob11o\$3bobobobobobobobobobobobobobobobobobobobobobobo5bobobob3o4bobobo\$3bobobobob3obob3obob3obobob3obobobob3ob6o2bo5bo6bobobo\$12b3ob2o4b2ob5ob7o2b4o5b2o3b6o4b2obob3o\$b10ob6o2b2o2bob2o4bobo5b2ob4ob4o4bo2bo5bobob4o\$2bobobobob3obobobob3obobobob3obo2b4ob2o4bo2b2ob3o2b8obo2b2o\$2bobobobobobobobobobobobobobob4o4bob2obob2obob4ob2o2bobob2obobob2o\$28bob3obob7ob3ob3obobobobobobobob4o\$26o6bobobobobobobobobobobobobobobobobobo\$bobobobobobobobobobobobobobob5o\$bobobobobobobobobobobobobobobobo!`

Much simpler 2c/4 wickstretchers with even bilateral symmetry:
`x = 19, y = 52, rule = B36/S12345o2bobo\$8o\$2bobob2o2\$8ob3o\$o4bo2b5o\$5b4o5b2o\$6b3obo3b2o\$5b4ob4obo\$5b13o\$bo3bo3b2o2bo3b2o\$bo3bo3b2o2bo3b2o\$5b13o\$5b4ob4obo\$6b3obo3b2o\$5b4o5b2o\$o4bo2b5o\$8ob3o2\$2bobob2o\$8o\$o2bobo9\$2bo2bo\$2b6o\$4bob2o2\$2b6ob3o\$o7b5o\$ob7o5b2o\$b4ob3obo3b2o\$2b3ob3ob4obo\$2b16o\$9b2o2bo3b2o\$9b2o2bo3b2o\$2b16o\$2b3ob3ob4obo\$b4ob3obo3b2o\$ob7o5b2o\$o7b5o\$2b6ob3o2\$4bob2o\$2b6o\$2bo2bo!`
The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1209
Joined: August 9th, 2013, 12:45 am

`@RULE triship@TABLEneighborhood:Mooresymmetries:rotate4reflectn_states:20,0,0,1,0,1,0,1,0,10,1,1,0,0,0,0,0,0,11,1,1,0,0,0,0,0,0,01,1,1,0,0,0,0,0,1,01,1,0,0,0,1,0,0,0,01,1,1,1,1,1,0,0,0,0# OOONNONO# C,N,NE,E,SE,S,SW,W,NW,C'`

A CA I made so that this polyplet:
`x = 3, y = 2, rule = trishipobo\$bo!`

...Is a spaceship.

Random soups in this rule mostly create wickstretchers, rakes and growing wickstretchers. (?)

`x = 58, y = 66, rule = triship2o2bo9b5obobob3obo5b2o2bobobob4ob2ob3obo\$o3b2ob3ob2o3bobo3bobo2bob4obob3o3bob3o2b3o2bo\$b2o3b4o2b4o2b3o2bo4bo2bob8o2b3o2b2obobo3bo\$ob2obo2bo2b2o2b5obo2b4obobo4bo6b3ob2o4bo2bo\$bo5bo2b3ob2ob4o2b6ob3o2b2o3b3o2b4ob5obo\$bo3b2o2b2ob2obobo2b4o3bo6b4o4b2o2bo2bobo2bobo\$bo2b4ob3o2b2o3bobobobob2obob4o2bo4bo3b3ob3o\$3o3b2o2bob5ob2o2b2obo2bob3ob2o2bo3bob2obo2bobo3bo\$b2obo4b3o4bobo4b2o5b2ob3o6bo2bo2b2o3b2o\$b3o4bo2b7o2bobo2bo3bo2b3o3b2o4b5o2b3ob3o\$3ob4obo2b3o2bobobobob2o2bo4b2obobob5o3bo2bob2obo\$4o2bo6b3o2b2ob5obo8b2obo5b3obo2b2ob3o\$4o2b3o2bob2o2b2obo6bo2b4ob4o6bo3b6o\$o2b2obo3bo3b2o2bobo2b4ob3ob2o2bo2bo2bob4obo2bob2obo\$b2o2bo2bob3o3b2ob3ob2o4bobo2b2ob2o5b2o3b3ob3obo\$4bobobo2b4o3bob2ob2o3b3o2bobo2bob5o2b4ob3obo\$2obo4b2obo2b3o2bob3ob3o2b2o3bo4bo3bo2bo2bo2b3o\$2bo2b6o6b2ob4o7bob3ob4ob2ob2obo3bo4bo\$2o4b2obo2b3ob2ob2o4b4o2bo2b2o4b2o2bo2b2o2bob4o\$ob2o2bo3b2o4b2o3bo4b3o4b3o2b4o3b2ob4obob3o\$b2ob3obo2bo2bo2bob3obobob2ob3o6b3ob3ob2o2bob2obo\$ob9o6b4ob3ob2obob2ob2obobobo2bobo3bob2o3bo\$b2obo2bobo5bobobobob10obo4b2obo2bobob2ob5o\$3bo2bobo2bobo2b4o2b3o2bob2obo2b2o2b2o2bobo3bob2o3b2o\$bobo4b2ob3o2bobob5obob5ob7ob2o3b2obobo2b2o\$2o3bob8ob3ob3o3b3o2bob6o2bo3bob2obobo\$2obobo2bobobo4b2o2bob2obob3obo5bobob2o3bob2o2b3o\$b2obo5bob6o2bo2bob4obobobob4o5bobob3obobo\$3bo2bobob4ob4o5b2o4b3o4b3o2bobob4obob2o\$obo2bob4o2bo2bob2ob2obobob3ob2o2b2o3bo2bob3o3b5o\$b3ob2obob2o2bo5b2o2bo3bob2obob4obobobobo2bob3o2bo\$4b4o3b4o2bobobo2bo7b2o2b3obo2bo2bob2o3bob3o\$3bob2ob2o2bobo2bob5o2b8obo3b3obobobo3b2obobo\$bob3obob4obo2bobob2ob2obobo2bo3b2o2bo3bob3o3b2o2bo\$o3b3ob2o2bo2b2ob2o3b2obo2b3o5bo3b4o2bobo5bo\$bo3bo7bob2obo3bo2b2obo2bob2o2b4ob3o2b3o2bo2bobo\$b3obobobo3bo2bobo2bobo2b3o2bobob4o2b2o2bob8obo\$3bob2o2bobob2obo2bobobob5ob2o2bo2b3obob2o2bo6bobo\$3ob2ob2ob5o2bob5ob2ob2o2b3o5bob2ob2o3b3ob2obo\$bob5ob4o3b2o2bo2bob5o2b2o2bobobo2b3obo2b2o2b2o\$2ob6ob2o4b5ob3o2b3obob2obo3b4o4b2o5bobo\$obobo4bobo2bob2o2b2o3b3o2bob5ob3o2bo2b5o2b3o\$3b3ob2o2b2o2bo2b2obob4o2b5o2bobobo4b3ob2o3b2obo\$bob2ob6o3bo3b4o2b2o5bobo2b2obob2o2bo2b2o2bo2b2o\$bob2o2bo5bo2b3o2b4obob3obob3ob3obo4bob2o2b4o\$4bobobobo2bob2o3bobob2o3b2o2b5o5b6o2bo3b2o\$obo2b2obo2b3obo5bobobob2ob2o3bo2bo2bo2b3obobo2bo\$ob3o2b4ob2obo2bo3b5obob2o2b4o4b4obo4b2ob3o\$5b3ob7o3bob2ob2o3bo2bo2bobobo3b2obo3bob3o2bo\$bob2o3b4o8b3ob2ob6o3bobo4b2ob2ob2obo3bo\$6o5b3obob4obo3bo4b3o2b4o3bob2obo2bob2o\$bobo3bo3b2o5b2obob2o3b2o3b2ob2ob2o3b5o4bob2o\$ob3obo3bo3bo3bob2ob2o2bo6bo5b2obo5b2ob2o2b2o\$b6o2b3o4b2o2bo2bo2b2o3bob2ob2o5bo2b2ob3ob4o\$2b2obo2bo3bo3bobobob3obo2b4obob3o3b4o2bobob2obobo\$obo4bo2bobo3b2obob2obobo2bobob2o2b3o3bobo3b2o\$2o4bob8ob3o2bo4b3o5b2obo2bob2o3bo3b2o\$2obobo4bo2bobob3ob4o3b2o5bobo4bobobo3b2o3bo\$o2bob2ob3o6bo4bo6bobobobo2b2obo2b2ob2ob2o4bo\$bobo3bo3b3ob2ob2o5b3obo2bobo2bo3bobobo3bo5b2o\$bob3obobo7b5o4b2ob3o2bo2b3o4b14o\$2bo3b2ob5ob7o3b3o3b2obob2o3bob2o4bob3ob2o\$3o2b2o3bo2bo2b2obo3b2obo2b6obo2b3o6b3o2b4o\$2o11bob2o4b3o2b2o4bob3o2bo2b3o2bob4obobo\$4ob3obo4b2o2b2obobobo4b2ob2ob2obo2b4o2b3o2b4o\$4o2bob4o3b2o6b3o4b2ob4ob2o2b4o4b3obobo!`

EDIT: Strange:
`x = 4, y = 6, rule = triship2b2o\$3bo\$3bo\$2o\$o\$o!`

EDIT2: Spacefiller + Quadratic growth + some wickstretchers:
`x = 5, y = 7, rule = triship2b2o\$3bo\$3bo\$2o\$bo\$bob2o\$3b2o!`

`x = 7, y = 9, rule = trishipb2o\$bo\$2o\$3b2o\$3bo\$2b2o\$5b2o\$5bo\$4b2o!`
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Oscillators in the Billiard rule so far:
`x = 45, y = 738, rule = Billiard14b2o2b2o2b2o2bo\$14b2o2b2o2b2o2b3o\$27bo\$26b3o\$22b2o4bo\$22b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$14b2o\$14b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o4bo\$14b2o2b2o2b2o4bo\$26b5o2\$22b2o2b5o\$22b2o4bo\$28bo2\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$22b2o\$22b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o6b2o4b2o\$14b2o6b2o\$26b4o\$29bo\$14b2o6b2o2b2ob2o\$14b2o6b2o3bobo\$27bobo2\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$22b2o\$22b2o3\$22b2o\$22b2o13\$14b2o2b2o2b2o5bobobo\$14b2o2b2o2b2o5bobob3o\$26b2obobo\$29bob3o\$14b2o13bobo\$14b2o12b6o2\$30b2o\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$22b2o\$22b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o5b2o\$14b2o2b2o2b2o\$27b6o\$27bo\$14b2o10b2ob2o\$14b2o11b3o\$27bobo2\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$14b2o6b2o\$14b2o6b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o5bobo\$14b2o2b2o2b2o2bo2b5obo\$27bobobobobo\$29bob3o\$22b2o4b4obo\$22b2o5bo\$29bo2\$22b2o\$22b2o3\$22b2o\$22b2o3\$22b2o\$22b2o13\$14b2o2b2o2b2o9b2o\$14b2o2b2o2b2o9bo\$29bob3o\$29bob4o\$14b2o6b2o2b2obobobo\$14b2o6b2o5bob3o\$29bobo2\$14b2o2b2o2b2o\$14b2o2b2o2b2o3\$14b2o6b2o\$14b2o6b2o3\$14b2o2b2o2b2o\$14b2o2b2o2b2o13\$14b2o2b2o2b2o6bo\$14b2o2b2o2b2o6b3obo\$28bobobobo\$26b3obobo\$14b2o6b2o9bo\$14b2o6b2o4b3obo\$32bobo\$28b5obo\$14b2o2b2o2b2o6bo\$14b2o2b2o2b2o3\$22b2o\$22b2o3\$22b2o\$22b2o13\$8b2o4b2o2b2o2b2o7bo\$8b2o4b2o2b2o2b2o8bo\$29b3obo\$29bobo\$8b2o4b2o6b2o2b2obobo\$8b2o4b2o6b2o2bob2ob3o\$32bo\$27b7o\$8b2o4b2o6b2o5bo\$8b2o4b2o6b2o7bo\$32bo2\$8b2o4b2o6b2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$8b2o12b2o6bo\$8b2o12b2o4b3o\$28bobobo\$26bobobo2bo\$8b2o12b2o2bobo2b3o\$8b2o12b2o4bobobo\$28bobobobo\$27b2obobobo\$8b2o12b2o4bo\$8b2o12b2o4bo3\$8b2o12b2o\$8b2o12b2o3\$8b2o12b2o\$8b2o12b2o13\$8b2o4b2o2b2o2b2o7b2o\$8b2o4b2o2b2o2b2o\$29b3obo\$29bobobo\$8b2o12b2o3b3obob2o\$8b2o12b2o\$26bobobobob3o\$26bob3obobo\$8b2o4b2o2b2o2b2o4bobobo\$8b2o4b2o2b2o2b2o4b5o2\$30bo\$8b2o4b2o14bo\$8b2o4b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o6b2o2b2o2\$28b10o\$8b2o12b2o4bo8bo\$8b2o12b2o2bobo8bobo\$26bobo8bobo\$28bo8bo\$8b2o4b2o2b2o2b2o4b10o\$8b2o4b2o2b2o2b2o\$30b2o2b2o2\$8b2o12b2o\$8b2o12b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$8b2o4b2o2b2o2b2o7bo\$8b2o4b2o2b2o2b2o6bo2\$28b5o\$8b2o4b2o16bo\$8b2o4b2o12b3obob2o\$30bobo\$26b3ob3o\$8b2o4b2o2b2o2b2o4bob3ob2o\$8b2o4b2o2b2o2b2o6b3o\$30bobo2\$8b2o4b2o6b2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$8b2o4b2o2b2o2b2o7bo2bo\$8b2o4b2o2b2o2b2o7bo2bo2\$29b8o\$8b2o12b2o5bobob2obo\$8b2o12b2o2b2ob3o3b3o\$29bobob2obo\$29b8o\$8b2o12b2o\$8b2o12b2o7bo2bo\$31bo2bo2\$8b2o12b2o\$8b2o12b2o3\$8b2o12b2o\$8b2o12b2o13\$8b2o4b2o2b2o2b2o6b2o\$8b2o4b2o2b2o2b2o\$28b6o\$28bobobobo\$8b2o4b2o6b2o2bobobobo2bo\$8b2o4b2o6b2o2bob6obo\$28bo6bobo\$28b8obo\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o4b2o2b2o3\$8b2o12b2o\$8b2o12b2o3\$8b2o12b2o\$8b2o12b2o13\$2o2b2o2b2o12b2o6b2o2b2o\$2o2b2o2b2o12b2o\$28b8o\$28bobo\$8b2o12b2o2bobobo3b2o\$8b2o12b2o3b4obo\$28b3obob2o\$26bobob3o\$2o2b2o2b2o12b2o3bo4bo\$2o2b2o2b2o12b2o3\$2o20b2o\$2o20b2o3\$2o2b2o2b2o12b2o\$2o2b2o2b2o12b2o13\$2o2b2o2b2o4b2o2b2o2b2o7bo2bo\$2o2b2o2b2o4b2o2b2o2b2o7bo2bo2\$29b8o\$8b2o12b2o5bo4b3o\$8b2o12b2o2b2obobo4bob2o\$29bo4bobo\$29bo4b3o\$2o2b2o2b2o4b2o2b2o2b2o2b2ob2ob2ob2ob2o\$2o2b2o2b2o4b2o2b2o2b2o5b2o2b2obo\$29b8o2\$2o12b2o15bo2bo\$2o12b2o15bo2bo3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o6b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o\$28b8o\$28bobo\$8b2o4b2o6b2o2bobobo3b2o\$8b2o4b2o6b2o2bob3obo\$28b3obob2o\$28bob3o\$2o2b2o2b2o4b2o2b2o2b2o8bo\$2o2b2o2b2o4b2o2b2o2b2o3\$2o12b2o6b2o\$2o12b2o6b2o3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o6b2o10bo\$2o2b2o2b2o4b2o6b2o5bo4bo\$28bobobob3obo\$30bobo3bobo\$8b2o4b2o6b2o5b8o\$8b2o4b2o6b2o5bo3b2obobo\$26b2obo3b4obo\$29bo3b2obo\$2o2b2o2b2o4b2o2b2o2b2o5b8o\$2o2b2o2b2o4b2o2b2o2b2o\$31b2o2b2o2\$8b2o12b2o\$8b2o12b2o3\$2o2b2o2b2o12b2o\$2o2b2o2b2o12b2o13\$2o2b2o2b2o4b2o2b2o2b2o4bo2bo2bo2bo2bo\$2o2b2o2b2o4b2o2b2o2b2o4b13o\$27b2obo7bob2o\$28bob4ob4obo\$8b2o4b2o12bobo2bobo2bobo\$8b2o4b2o14bo2bobo2bo\$26b8ob8o\$28bo2bo5bo2bo\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o3\$8b2o12b2o\$8b2o12b2o3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o\$28b8obo\$28bob2o3bobo\$8b2o4b2o10bob6obo\$8b2o4b2o10bob3o2b3obo\$28bob6obo\$26bobo3b2obo\$2o2b2o2b2o4b2o2b2o2b2o2bob8o\$2o2b2o2b2o4b2o2b2o2b2o\$30b2o2b2o2\$8b2o4b2o6b2o\$8b2o4b2o6b2o3\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o9b2o\$2o2b2o2b2o4b2o2b2o2b2o2bobobo\$26bob7o\$28bob2obo2b2o\$8b2o4b2o6b2o3b5obo\$8b2o4b2o6b2o7b7o\$27b2o2bob2obo2b2o\$30b5obo\$2o2b2o2b2o4b2o2b2o2b2o10bob5o\$2o2b2o2b2o4b2o2b2o2b2o6b2o2bo4bo2b2o\$33b5obo\$37bob5o\$8b2o4b2o6b2o9b2o2bo2bobo\$8b2o4b2o6b2o12b7o\$40bobobo\$36b2o2bobobo\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o13\$2o6b2o4b2o2b2o2b2o6bo2bo\$2o6b2o4b2o2b2o2b2o4b8o\$28bobo4bo\$27b6o2bobo\$2o6b2o4b2o6b2o2bobob4obobo\$2o6b2o4b2o6b2o4bo6bo\$28b8o\$33bo\$2o2b2o2b2o4b2o6b2o6bo\$2o2b2o2b2o4b2o6b2o6bo3\$8b2o4b2o6b2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$2o6b2o4b2o2b2o2b2o4b2ob2o\$2o6b2o4b2o2b2o2b2o\$28b7o\$28bobobobo\$2o6b2o4b2o6b2o2bob5ob3o\$2o6b2o4b2o6b2o2bobobobo\$28bobob3o\$26bobo2bo\$2o2b2o2b2o4b2o2b2o2b2o2bob5ob3o\$2o2b2o2b2o4b2o2b2o2b2o4bo3bobo\$28b7o2\$8b2o4b2o6b2o4b2ob2o\$8b2o4b2o6b2o3\$8b2o4b2o2b2o2b2o\$8b2o4b2o2b2o2b2o13\$2o2b2o2b2o4b2o2b2o2b2o7bo2bobo\$2o2b2o2b2o4b2o2b2o2b2o7bo2bobo2\$29b10o\$2o6b2o4b2o6b2o5bo4b3obo\$2o6b2o4b2o6b2o2b2obob8ob2o\$29bobo6bo\$26b2ob3ob2ob3o\$2o2b2o2b2o4b2o6b2o5b3ob2obobob2o\$2o2b2o2b2o4b2o6b2o5b3o4bobo\$26b2obob8ob2o\$29bo2b2o4bo\$2o6b2o4b2o6b2o5b10o\$2o6b2o4b2o6b2o\$31bobo2bo\$31bobo2bo\$2o2b2o2b2o4b2o2b2o2b2o\$2o2b2o2b2o4b2o2b2o2b2o!`
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Have a p100:x = 11, y = 11, rule = Billiard
3bob2o\$2bo\$bob6o\$obo3bobo\$2bobobobobo\$obobo3bobo\$obobo2b2o\$2bo2bo2bobo
\$2b6obo\$8bo\$4b2obo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1882
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

`x = 11, y = 11, rule = Billiard3bob2o\$2bo\$bob6o\$obo3bobo\$2bobobobobo\$obobo3bobo\$obobo2b2o\$2bo2bo2bobo\$2b6obo\$8bo\$4b2obo!`

Nice! Here's a P25 that can probably be improved:
`x = 12, y = 11, rule = Billiard:T100,1005b2o\$5bobo2\$3b7o\$3bobobobo\$2ob3obob2o\$3bob3o3bo\$3bo3b3o\$2ob4o\$3bo2bob2o\$3bo2bobobo!`

By the way, is this the smallest P3?
`x = 5, y = 7, rule = Billiard2bo\$2bo\$2ob2o2\$2ob2o\$2bo\$2bo!`
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

Billabob wrote: Here's a P25 that can probably be improved:
`x = 12, y = 11, rule = Billiard:T100,1005b2o\$5bobo2\$3b7o\$3bobobobo\$2ob3obob2o\$3bob3o3bo\$3bo3b3o\$2ob4o\$3bo2bob2o\$3bo2bobobo!`

It can, of course:
`x = 10, y = 10, rule = Billiard:T100,1009bo\$4bo3bo\$2b5o\$2bobobobo\$obobobobo\$obo\$2bo3b2o\$b5o\$obo2bo\$4bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]