Rule:ColourisedLifeModulo5

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@RULE ColourisedLifeModulo5

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A variant of Koenig's Life with modular arithmetic. http://mathworld.wolfram.com/ModularArithmetic.html 1×3=3 3×3=4 4×3=2 2×3=1 5×3=5

Notable patterns

5-color glider (p124) 5-color toad (the two stator cells are in the same color) (p8) 5-color clock (the two stator cells are in the same color) (p8) 4-color galaxy made up of four 2x6 rectangles in each color (p4992)


@TABLE n_states:6 neighborhood:Moore symmetries:permute var a={1,2,3,4,5} var a1=a var a2=a var a3=a var a4=a var a5=a var a6=a var a7=a var a8=a var a9=a

  1. B3

0,1,1,1,0,0,0,0,0,1 0,1,1,2,0,0,0,0,0,3 0,1,1,3,0,0,0,0,0,5 0,1,1,4,0,0,0,0,0,2 0,1,1,5,0,0,0,0,0,4 0,1,2,2,0,0,0,0,0,5 0,1,2,3,0,0,0,0,0,2 0,1,2,4,0,0,0,0,0,4 0,1,2,5,0,0,0,0,0,1 0,1,3,3,0,0,0,0,0,4 0,1,3,4,0,0,0,0,0,1 0,1,3,5,0,0,0,0,0,3 0,1,4,4,0,0,0,0,0,3 0,1,4,5,0,0,0,0,0,5 0,1,5,5,0,0,0,0,0,2 0,2,2,2,0,0,0,0,0,2 0,2,2,3,0,0,0,0,0,4 0,2,2,4,0,0,0,0,0,1 0,2,2,5,0,0,0,0,0,3 0,2,3,3,0,0,0,0,0,1 0,2,3,4,0,0,0,0,0,3 0,2,3,5,0,0,0,0,0,5 0,2,4,4,0,0,0,0,0,5 0,2,4,5,0,0,0,0,0,2 0,2,5,5,0,0,0,0,0,4 0,3,3,3,0,0,0,0,0,3 0,3,3,4,0,0,0,0,0,5 0,3,3,5,0,0,0,0,0,2 0,3,4,4,0,0,0,0,0,2 0,3,4,5,0,0,0,0,0,4 0,3,5,5,0,0,0,0,0,1 0,4,4,4,0,0,0,0,0,4 0,4,4,5,0,0,0,0,0,1 0,4,5,5,0,0,0,0,0,3 0,5,5,5,0,0,0,0,0,5

a,0,0,0,0,0,0,0,0,0 # S0 a,a1,0,0,0,0,0,0,0,0 # S1 a,a1,a2,a3,a4,0,0,0,0,0 # S4 a,a1,a2,a3,a4,a5,0,0,0,0 # S5 a,a1,a2,a3,a4,a5,a6,0,0,0 # S6 a,a1,a2,a3,a4,a5,a6,a7,0,0 # S7 a,a1,a2,a3,a4,a5,a6,a7,a8,0 # S8

@COLORS 0 0 0 0 1 255 0 0 2 255 255 0 3 0 255 0 4 0 255 255 5 0 0 255 6 255 0 255