Rule:ColourisedLifeModulo5: Difference between revisions

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@RULE ColourisedLifeModulo5
{{Outdated}}
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
# 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

Latest revision as of 04:28, 7 November 2024

@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

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