User:Pifricted/Rules

Ant rl/3r

Langton's ant, but "many ants"(3 cells) follow the "head ant"(1 cell).When another ants stop head ant, it'll turn right, then go.

patterns

A head ant will turn into a sqrt(t) growth at about 3700 gens.

x = 1, y = 1, rule = Ant rl/3l B! @RULE Ant rl/3l @COLORS 1 255 255 255 @TABLE n_states:16 neighborhood:vonNeumann symmetries:none # var q={10,11,12,13,14,15} var a1={0,1,2,3,4,5,6,7,8,9,q} var a2=a1 var a3=a1 var a4=a1 var e={2,6} var s={3,7} var w={4,8} var n={5,9} var c0={0,6,7,8,9} var d0={2,3,4,5} var c1={1,2,3,4,5} var d1={6,7,8,9} # c0,s,a2,n,a4,0 c0,a1,w,a3,e,0 c0,a1,w,n,a4,0 c0,s,w,a3,a4,0 c0,s,a2,a3,e,0 c0,a1,a2,n,e,0 c0,s,w,n,a4,0 c0,s,w,a3,e,0 c0,s,a2,n,e,0 c0,a1,w,n,e,0 c0,s,w,n,e,0 # c1,s,a2,n,a4,1 c1,a1,w,a3,e,1 c1,a1,w,n,a4,1 c1,s,w,a3,a4,1 c1,s,a2,a3,e,1 c1,a1,a2,n,e,1 c1,s,w,n,a4,1 c1,s,w,a3,e,1 c1,s,a2,n,e,1 c1,a1,w,n,e,1 c1,s,w,n,e,1 # c0,s,a2,a3,a4,2 c0,a1,w,a3,a4,3 c0,a1,a2,n,a4,4 c0,a1,a2,a3,e,5 c1,s,a2,a3,a4,8 c1,a1,w,a3,a4,9 c1,a1,a2,n,a4,6 c1,a1,a2,a3,e,7 # 2,a1,q,a3,a4,3 3,a1,a2,q,a4,4 4,a1,a2,a3,q,5 5,q,a2,a3,a4,2 6,a1,q,a3,a4,7 7,a1,a2,q,a4,8 8,a1,a2,a3,q,9 9,q,a2,a3,a4,6 # d0,a1,a2,a3,a4,10 10,a1,a2,a3,a4,11 11,a1,a2,a3,a4,12 12,a1,a2,a3,a4,1 d1,a1,a2,a3,a4,13 13,a1,a2,a3,a4,14 14,a1,a2,a3,a4,15 15,a1,a2,a3,a4,0 #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBSIZE 2 ]]

Here is the ant. (click above to open LifeViewer)

There are also have Ant rl/3r, Ant rl/5l, Ant rl/5r and Ant rl 7r.

x = 2, y = 4, rule = Ant rl/3r 2A2$2A$B! @RULE Ant rl/3r @COLORS 1 255 255 255 @TABLE n_states:16 neighborhood:vonNeumann symmetries:none # var q={10,11,12,13,14,15} var a1={0,1,2,3,4,5,6,7,8,9,q} var a2=a1 var a3=a1 var a4=a1 var e={2,6} var s={3,7} var w={4,8} var n={5,9} var c0={0,6,7,8,9} var d0={2,3,4,5} var c1={1,2,3,4,5} var d1={6,7,8,9} # c0,s,a2,n,a4,0 c0,a1,w,a3,e,0 c0,a1,w,n,a4,0 c0,s,w,a3,a4,0 c0,s,a2,a3,e,0 c0,a1,a2,n,e,0 c0,s,w,n,a4,0 c0,s,w,a3,e,0 c0,s,a2,n,e,0 c0,a1,w,n,e,0 c0,s,w,n,e,0 # c1,s,a2,n,a4,1 c1,a1,w,a3,e,1 c1,a1,w,n,a4,1 c1,s,w,a3,a4,1 c1,s,a2,a3,e,1 c1,a1,a2,n,e,1 c1,s,w,n,a4,1 c1,s,w,a3,e,1 c1,s,a2,n,e,1 c1,a1,w,n,e,1 c1,s,w,n,e,1 # c0,s,a2,a3,a4,2 c0,a1,w,a3,a4,3 c0,a1,a2,n,a4,4 c0,a1,a2,a3,e,5 c1,s,a2,a3,a4,8 c1,a1,w,a3,a4,9 c1,a1,a2,n,a4,6 c1,a1,a2,a3,e,7 # 2,a1,q,a3,a4,5 3,a1,a2,q,a4,2 4,a1,a2,a3,q,3 5,q,a2,a3,a4,4 6,a1,q,a3,a4,9 7,a1,a2,q,a4,6 8,a1,a2,a3,q,7 9,q,a2,a3,a4,8 # d0,a1,a2,a3,a4,10 10,a1,a2,a3,a4,11 11,a1,a2,a3,a4,12 12,a1,a2,a3,a4,1 d1,a1,a2,a3,a4,13 13,a1,a2,a3,a4,14 14,a1,a2,a3,a4,15 15,a1,a2,a3,a4,0 #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBSIZE 2 ]]

5-cell inf growth in Ant rl/3r (click above to open LifeViewer)

x = 1, y = 1, rule = Ant rl/5l B! @RULE Ant rl/5l @COLORS 1 255 255 255 @TABLE n_states:20 neighborhood:vonNeumann symmetries:none # var q={10,11,12,13,14,15,16,17,18,19} var a1={0,1,2,3,4,5,6,7,8,9,q} var a2=a1 var a3=a1 var a4=a1 var e={2,6} var s={3,7} var w={4,8} var n={5,9} var c0={0,6,7,8,9} var d0={2,3,4,5} var c1={1,2,3,4,5} var d1={6,7,8,9} # c0,s,a2,n,a4,0 c0,a1,w,a3,e,0 c0,a1,w,n,a4,0 c0,s,w,a3,a4,0 c0,s,a2,a3,e,0 c0,a1,a2,n,e,0 c0,s,w,n,a4,0 c0,s,w,a3,e,0 c0,s,a2,n,e,0 c0,a1,w,n,e,0 c0,s,w,n,e,0 # c1,s,a2,n,a4,1 c1,a1,w,a3,e,1 c1,a1,w,n,a4,1 c1,s,w,a3,a4,1 c1,s,a2,a3,e,1 c1,a1,a2,n,e,1 c1,s,w,n,a4,1 c1,s,w,a3,e,1 c1,s,a2,n,e,1 c1,a1,w,n,e,1 c1,s,w,n,e,1 # c0,s,a2,a3,a4,2 c0,a1,w,a3,a4,3 c0,a1,a2,n,a4,4 c0,a1,a2,a3,e,5 c1,s,a2,a3,a4,8 c1,a1,w,a3,a4,9 c1,a1,a2,n,a4,6 c1,a1,a2,a3,e,7 # 2,a1,q,a3,a4,3 3,a1,a2,q,a4,4 4,a1,a2,a3,q,5 5,q,a2,a3,a4,2 6,a1,q,a3,a4,7 7,a1,a2,q,a4,8 8,a1,a2,a3,q,9 9,q,a2,a3,a4,6 # d0,a1,a2,a3,a4,10 10,a1,a2,a3,a4,11 11,a1,a2,a3,a4,12 12,a1,a2,a3,a4,13 13,a1,a2,a3,a4,14 14,a1,a2,a3,a4,1 d1,a1,a2,a3,a4,15 15,a1,a2,a3,a4,16 16,a1,a2,a3,a4,17 17,a1,a2,a3,a4,18 18,a1,a2,a3,a4,19 19,a1,a2,a3,a4,0 #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBSIZE 2 ]]

Ant in Ant rl/5l (click above to open LifeViewer)

Ruletable: here

Cellmath

Life, but have weighted 2,3,-1,-2 cells.Named by tommy.

patterns

A weight-3 cell is a p3 oscillator.

P32 Pi hassler,P28,29,30,39 traffic light hasslers, P64,96 block hasslers are found.

Weight--1,-2 cells always kill and stop cells borning, but also have still lifes.

This rule is omniperiodic.

Others

The idea is from excel.

Ruletable: Rule:Cellmath

FuseArt

A hybrid of B3/S34 and B3/S5678.No better rules I found.

See User:Pifricted/FuseArt

Ruletable: Rule:FuseArt