User:Pifricted/Rules

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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.
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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
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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
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Ruletable: here

Cellmath

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

x = 11, y = 13, rule = Cellmath B2$7.B.CE$8.A$C6.E3$7.E$D$7.BA$6.E2$E! # [[ LABEL 0 0 16 "2" LABEL 0 4 16 "3" LABEL 0 8 16 "-1" LABEL 0 12 16 "-2" ]] # [[ LABEL 7 2 16 "2" LABEL 9 2 16 "3" LABEL 7 4 16 "-2" LABEL 13 3 16 "2+3-2=3" ]] # [[ LABEL 7 9 16 "2" LABEL 13 9 16 "1+2=3" ]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 800 WIDTH 1000 THUMBSIZE 2 ]]
(click above to open LifeViewer)

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.

x = 224, y = 230, rule = Cellmath 69.3D3.2D3.2D7.2D$69.D2.D.D2.D.D2.D2.D2.D2.D60.D$69.D2.D4.D.D2.D.3D.D 2.D28.D29.D.B63.D$69.3D4.D2.2D.D2.D3.2D27.D.B37.D25.D29.D.B$69.D5.D3. D.2D5.D2.D.2D31.D55.D.B37.D$69.D4.D4.D2.D5.D2.D.D.D62.BD30.D$69.D4.4D 2.2D7.2D2.D.D30.BD94.BD$103.3D.3D57.3D.3D16.BD6.3D.3D$105.D.D13.A12.D .D.D.D11.A14.D5.D24.D3.D.D$103.3D.3D10.A13.D.D.D.D10.A15.3D.3D24.3D.D .D$105.D.D.D5.DB3.3A11.3D.3D5.DB3.3A15.D.D26.D.D.D.D$103.3D.3D26.D3.D 26.3D.3D9.A14.3D.3D9.A$116.D19.D3.D6.D34.A30.A$6.E8.A18.E3.E8.A74.B.D 28.B.D21.DB3.3A23.DB3.3A$5.2E3.2A2.A.A16.2E2.2E7.BA74.D30.D$6.E3.2A3. B4.ACA11.E3.E49.D89.D30.D$6.E7.A.A17.E3.E4.AB41.D.B95.B.D28.B.D$5.3E7. A17.3E.3E3.A50.D89.D30.D2$94.BD$51.B22.3D.3D9.A$50.B25.D.D.D8.A29.D31. D$5.3E10.A15.E2.3E9.B24.3D.3D3.DB3.3A25.D.B29.D.B$7.E3.3A4.AC4.A8.2E4. E8.B25.D3.D.D$5.3E3.ADA11.B8.E2.3E7.B26.3D.3D4.D40.D$5.E5.3A4.AC4.A.A 7.E2.E6.A.B44.B.D65.D$5.3E10.A14.3E.3E3.A.B45.D34.BD$44.B.A56.D.D.D.D 24.3D.3D18.BD$45.A57.D.D.D.D11.A12.D3.D.D$103.3D.3D4.DB4.A13.3D.D.D$105. D3.D10.3A11.D.D.D.D4.DB6.A$5.3E26.E2.3E65.D3.D5.D18.3D.3D11.A$7.E18.A 6.2E4.E106.D5.3A$5.3E4.C6.CA4.CD7.E2.3E82.B.D$7.E17.E8.E4.E82.D$5.3E25. 3E.3E114.B.D$154.D2$102.3D3.2D3.2D6.D2.D$19.A82.D2.D.D2.D.D5.D2.D2.D$ 5.E.E12.BE12.E2.E.E8.B23.3D3.2D22.D2.D4.D.D4.3D.D2.D$5.E.E11.A.C11.2E 2.E.E5.A.B24.D2.D.D2.D21.3D4.D2.3D3.D2.4D71.D$5.3E2.A.C8.A.A10.E2.3E4. A.B25.D2.D4.D21.D5.D3.D2.D8.D.2D6.D30.D28.D.B$7.E15.C.A8.E4.E5.B.A24. 3D4.D22.D4.D4.D2.D8.D.D.D3.D.B28.D.B$7.E15.EB8.3E3.E4.B.A25.D5.D4.2D17. D4.4D2.2D9.D.D.D$25.A46.D4.D5.D.D110.3A5.D$72.D4.4D2.D.D48.3A5.D22.3A 5.D24.A$118.3D.3D11.A30.A29.A6.BD$44.A.A49.B23.D.D.D10.A6.BD5.3D.D.D10. A6.BD4.3D.3D$5.3E7.C.E16.E2.3E5.C.A47.B22.3D.D.D26.D.D.D25.D.D.D$5.E18. 2A7.2E2.E6.A3.A45.B25.D.D.D24.3D.3D23.3D.3D$5.3E3.E.C10.B9.E2.3E5.A.B .A41.A.B24.3D.3D3.DB6.A14.D3.D25.D.D.D$7.E11.A.A2.2A8.E4.E6.A24.D3.D. 3D.D.D6.A.B42.A13.3D3.D2.DB6.A12.3D.3D2.DB6.A$5.3E12.C12.3E.3E7.A.B.A 19.D.D.D.D.D.D.D7.B.A35.D5.3A27.A29.A$20.A31.A18.D.D.D.3D.3D6.B.A66.D 5.3A21.D5.3A$49.A.B19.D.D.D3.D3.D5.B$50.A2.2A17.D.D2.3D3.D4.B48.B.D$11. A40.ABA82.D29.B.D27.B.D$5.3E3.C.A38.2A113.D29.D$5.E5.EB.A$5.3E5.A.A$5. E.E6.A.BE$5.3E7.A.C35.B$17.A32.2A$34.E2.3E10.ABA$33.2E2.E13.2A137.D$34. E2.3E9.B103.D34.D.B$5.3E26.E2.E.E6.2A19.3D4.D3.2D6.D2.D26.D34.D.B$7.E 25.3E.3E6.ABA18.D2.D2.2D2.D2.D2.D2.D2.D24.D.B$7.E3.C2.B32.2A18.D2.D3. D2.D2.D.3D.D2.D100.3A$7.E37.B21.3D4.D3.3D2.D2.4D63.3A36.A$7.E59.D6.D5. D8.D.2D23.3A36.A14.3E2.E15.A$67.D6.D5.D8.D.D.D24.A14.3E.3E14.A17.E.2E $67.D4.4D.3D9.D.D.D4.3E.3E12.A8.D8.E3.E24.D5.3E2.E26.D$100.E3.E28.3E3. E32.E2.E$19.2A77.3E.3E18.A2.BD5.E5.E21.A2.BD4.3E.3E22.A2.BD$5.3E10.A. 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D28.D3$97.D25.D$97.B.D23.B.D2$82.3E.E.E$84.E.E.E5.A12.3E.3E$84.E.3E4. A13.E.E3.E5.A$84.E3.E4.3A11.3E.3E4.A$84.E3.E18.E.E.E6.3A$91.A15.3E.3E $90.A.A9.BD12.A11.BD$91.B23.A.A$90.E.E9.D13.B11.D$94.D.B18.E.E$96.D22. D.B$121.D! D! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 1200 WIDTH 1800 THUMBSIZE 2 ]]
A big collection of oscillators in Cellmath
(click above to open LifeViewer)

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

vNline & vNline2

Clisky

2PointShip

B2e3i4a/S235

34a567/34a/n