Pass the 3-state INT Rule!

R2INT · Post by **R2INT** » October 23rd, 2026, 11:41 pm

This is like Pass the Rule but with 3 states!

x = 64, y = 54, rule = passthe3intrule
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@RULE passthe3intrule

# Life on the union of states 1 and 2.
# Pure-state subspaces 0/1 and 0/2 are closed.
# Mixed-state outputs are reproducibly pseudorandom per D4 orbit.

@COLORS
0 0 0 0
1 255 255 255
2 0 255 255

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect

0 0,0,0,0,0,1,1,1 1
0 0,0,0,0,0,1,1,2 2
0 0,0,0,0,0,1,2,1 1
0 0,0,0,0,0,1,2,2 2
0 0,0,0,0,0,2,1,2 1
0 0,0,0,0,0,2,2,2 2
0 0,0,0,0,1,0,1,1 1
0 0,0,0,0,1,0,1,2 1
0 0,0,0,0,1,0,2,1 1
0 0,0,0,0,1,0,2,2 2
0 0,0,0,0,1,1,0,1 1
0 0,0,0,0,1,1,0,2 2
0 0,0,0,0,1,1,1,0 1
0 0,0,0,0,1,1,2,0 2
0 0,0,0,0,1,2,0,1 2
0 0,0,0,0,1,2,0,2 1
0 0,0,0,0,1,2,1,0 1
0 0,0,0,0,1,2,2,0 1
0 0,0,0,0,2,0,1,1 1
0 0,0,0,0,2,0,1,2 2
0 0,0,0,0,2,0,2,1 2
0 0,0,0,0,2,0,2,2 2
0 0,0,0,0,2,1,0,1 2
0 0,0,0,0,2,1,0,2 2
0 0,0,0,0,2,1,2,0 2
0 0,0,0,0,2,2,0,1 1
0 0,0,0,0,2,2,0,2 2
0 0,0,0,0,2,2,2,0 2
0 0,0,0,1,0,0,1,1 1
0 0,0,0,1,0,0,1,2 1
0 0,0,0,1,0,0,2,1 2
0 0,0,0,1,0,0,2,2 1
0 0,0,0,1,0,1,0,1 1
0 0,0,0,1,0,1,0,2 2
0 0,0,0,1,0,2,0,1 1
0 0,0,0,1,0,2,0,2 2
0 0,0,0,1,1,0,0,2 1
0 0,0,0,1,2,0,0,2 1
0 0,0,0,2,0,0,1,2 1
0 0,0,0,2,0,0,2,2 2
0 0,0,0,2,0,1,0,2 2
0 0,0,0,2,0,2,0,2 2
0 0,0,1,0,0,0,1,1 1
0 0,0,1,0,0,0,1,2 2
0 0,0,1,0,0,0,2,1 2
0 0,0,1,0,0,0,2,2 2
0 0,0,1,0,0,1,0,1 1
0 0,0,1,0,0,1,0,2 1
0 0,0,1,0,0,2,0,2 1
0 0,0,1,0,1,0,0,1 1
0 0,0,1,0,1,0,0,2 2
0 0,0,1,0,1,0,1,0 1
0 0,0,1,0,1,0,2,0 2
0 0,0,1,0,2,0,0,1 2
0 0,0,1,0,2,0,0,2 1
0 0,0,1,0,2,0,1,0 1
0 0,0,1,0,2,0,2,0 1
0 0,0,1,1,0,0,2,0 1
0 0,0,1,2,0,0,2,0 1
0 0,0,2,0,0,0,2,1 2
0 0,0,2,0,0,0,2,2 2
0 0,0,2,0,0,1,0,1 1
0 0,0,2,0,0,1,0,2 1
0 0,0,2,0,0,2,0,2 2
0 0,0,2,0,1,0,2,0 1
0 0,0,2,0,2,0,0,1 1
0 0,0,2,0,2,0,0,2 2
0 0,0,2,0,2,0,2,0 2
1 0,0,0,0,0,0,1,1 1
1 0,0,0,0,0,0,1,2 2
1 0,0,0,0,0,0,2,1 2
1 0,0,0,0,0,0,2,2 2
1 0,0,0,0,0,1,0,1 1
1 0,0,0,0,0,1,0,2 1
1 0,0,0,0,0,1,1,1 1
1 0,0,0,0,0,1,1,2 2
1 0,0,0,0,0,1,2,1 1
1 0,0,0,0,0,1,2,2 2
1 0,0,0,0,0,2,0,2 2
1 0,0,0,0,0,2,1,2 1
1 0,0,0,0,0,2,2,2 2
1 0,0,0,0,1,0,0,1 1
1 0,0,0,0,1,0,0,2 2
1 0,0,0,0,1,0,1,0 1
1 0,0,0,0,1,0,1,1 1
1 0,0,0,0,1,0,1,2 1
1 0,0,0,0,1,0,2,0 2
1 0,0,0,0,1,0,2,1 1
1 0,0,0,0,1,0,2,2 2
1 0,0,0,0,1,1,0,1 1
1 0,0,0,0,1,1,0,2 2
1 0,0,0,0,1,1,1,0 1
1 0,0,0,0,1,1,2,0 2
1 0,0,0,0,1,2,0,1 2
1 0,0,0,0,1,2,0,2 1
1 0,0,0,0,1,2,1,0 1
1 0,0,0,0,1,2,2,0 1
1 0,0,0,0,2,0,0,1 2
1 0,0,0,0,2,0,0,2 2
1 0,0,0,0,2,0,1,1 1
1 0,0,0,0,2,0,1,2 2
1 0,0,0,0,2,0,2,0 2
1 0,0,0,0,2,0,2,1 2
1 0,0,0,0,2,0,2,2 2
1 0,0,0,0,2,1,0,1 2
1 0,0,0,0,2,1,0,2 2
1 0,0,0,0,2,1,2,0 2
1 0,0,0,0,2,2,0,1 1
1 0,0,0,0,2,2,0,2 2
1 0,0,0,0,2,2,2,0 2
1 0,0,0,1,0,0,0,1 1
1 0,0,0,1,0,0,0,2 2
1 0,0,0,1,0,0,1,1 1
1 0,0,0,1,0,0,1,2 1
1 0,0,0,1,0,0,2,1 2
1 0,0,0,1,0,0,2,2 1
1 0,0,0,1,0,1,0,1 1
1 0,0,0,1,0,1,0,2 2
1 0,0,0,1,0,2,0,1 1
1 0,0,0,1,0,2,0,2 2
1 0,0,0,1,1,0,0,2 1
1 0,0,0,1,2,0,0,2 1
1 0,0,0,2,0,0,0,2 2
1 0,0,0,2,0,0,1,2 1
1 0,0,0,2,0,0,2,2 2
1 0,0,0,2,0,1,0,2 2
1 0,0,0,2,0,2,0,2 2
1 0,0,1,0,0,0,1,0 1
1 0,0,1,0,0,0,1,1 1
1 0,0,1,0,0,0,1,2 2
1 0,0,1,0,0,0,2,0 1
1 0,0,1,0,0,0,2,1 2
1 0,0,1,0,0,0,2,2 2
1 0,0,1,0,0,1,0,1 1
1 0,0,1,0,0,1,0,2 1
1 0,0,1,0,0,2,0,2 1
1 0,0,1,0,1,0,0,1 1
1 0,0,1,0,1,0,0,2 2
1 0,0,1,0,1,0,1,0 1
1 0,0,1,0,1,0,2,0 2
1 0,0,1,0,2,0,0,1 2
1 0,0,1,0,2,0,0,2 1
1 0,0,1,0,2,0,1,0 1
1 0,0,1,0,2,0,2,0 1
1 0,0,1,1,0,0,2,0 1
1 0,0,1,2,0,0,2,0 1
1 0,0,2,0,0,0,2,0 2
1 0,0,2,0,0,0,2,1 2
1 0,0,2,0,0,0,2,2 2
1 0,0,2,0,0,1,0,1 1
1 0,0,2,0,0,1,0,2 1
1 0,0,2,0,0,2,0,2 2
1 0,0,2,0,1,0,2,0 1
1 0,0,2,0,2,0,0,1 1
1 0,0,2,0,2,0,0,2 2
1 0,0,2,0,2,0,2,0 2
2 0,0,0,0,0,0,1,1 1
2 0,0,0,0,0,0,1,2 2
2 0,0,0,0,0,0,2,1 2
2 0,0,0,0,0,0,2,2 2
2 0,0,0,0,0,1,0,1 1
2 0,0,0,0,0,1,0,2 1
2 0,0,0,0,0,1,1,1 1
2 0,0,0,0,0,1,1,2 2
2 0,0,0,0,0,1,2,1 1
2 0,0,0,0,0,1,2,2 2
2 0,0,0,0,0,2,0,2 2
2 0,0,0,0,0,2,1,2 1
2 0,0,0,0,0,2,2,2 2
2 0,0,0,0,1,0,0,1 1
2 0,0,0,0,1,0,0,2 2
2 0,0,0,0,1,0,1,0 1
2 0,0,0,0,1,0,1,1 1
2 0,0,0,0,1,0,1,2 1
2 0,0,0,0,1,0,2,0 2
2 0,0,0,0,1,0,2,1 1
2 0,0,0,0,1,0,2,2 2
2 0,0,0,0,1,1,0,1 1
2 0,0,0,0,1,1,0,2 2
2 0,0,0,0,1,1,1,0 1
2 0,0,0,0,1,1,2,0 2
2 0,0,0,0,1,2,0,1 2
2 0,0,0,0,1,2,0,2 1
2 0,0,0,0,1,2,1,0 1
2 0,0,0,0,1,2,2,0 1
2 0,0,0,0,2,0,0,1 2
2 0,0,0,0,2,0,0,2 2
2 0,0,0,0,2,0,1,1 1
2 0,0,0,0,2,0,1,2 2
2 0,0,0,0,2,0,2,0 2
2 0,0,0,0,2,0,2,1 2
2 0,0,0,0,2,0,2,2 2
2 0,0,0,0,2,1,0,1 2
2 0,0,0,0,2,1,0,2 2
2 0,0,0,0,2,1,2,0 2
2 0,0,0,0,2,2,0,1 1
2 0,0,0,0,2,2,0,2 2
2 0,0,0,0,2,2,2,0 2
2 0,0,0,1,0,0,0,1 1
2 0,0,0,1,0,0,0,2 2
2 0,0,0,1,0,0,1,1 1
2 0,0,0,1,0,0,1,2 1
2 0,0,0,1,0,0,2,1 2
2 0,0,0,1,0,0,2,2 1
2 0,0,0,1,0,1,0,1 1
2 0,0,0,1,0,1,0,2 2
2 0,0,0,1,0,2,0,1 1
2 0,0,0,1,0,2,0,2 2
2 0,0,0,1,1,0,0,2 1
2 0,0,0,1,2,0,0,2 1
2 0,0,0,2,0,0,0,2 2
2 0,0,0,2,0,0,1,2 1
2 0,0,0,2,0,0,2,2 2
2 0,0,0,2,0,1,0,2 2
2 0,0,0,2,0,2,0,2 2
2 0,0,1,0,0,0,1,0 1
2 0,0,1,0,0,0,1,1 1
2 0,0,1,0,0,0,1,2 2
2 0,0,1,0,0,0,2,0 1
2 0,0,1,0,0,0,2,1 2
2 0,0,1,0,0,0,2,2 2
2 0,0,1,0,0,1,0,1 1
2 0,0,1,0,0,1,0,2 1
2 0,0,1,0,0,2,0,2 1
2 0,0,1,0,1,0,0,1 1
2 0,0,1,0,1,0,0,2 2
2 0,0,1,0,1,0,1,0 1
2 0,0,1,0,1,0,2,0 2
2 0,0,1,0,2,0,0,1 2
2 0,0,1,0,2,0,0,2 1
2 0,0,1,0,2,0,1,0 1
2 0,0,1,0,2,0,2,0 1
2 0,0,1,1,0,0,2,0 1
2 0,0,1,2,0,0,2,0 1
2 0,0,2,0,0,0,2,0 2
2 0,0,2,0,0,0,2,1 2
2 0,0,2,0,0,0,2,2 2
2 0,0,2,0,0,1,0,1 1
2 0,0,2,0,0,1,0,2 1
2 0,0,2,0,0,2,0,2 2
2 0,0,2,0,1,0,2,0 1
2 0,0,2,0,2,0,0,1 1
2 0,0,2,0,2,0,0,2 2
2 0,0,2,0,2,0,2,0 2

var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0

I set the rule to emulate Life for both states 1 and 2, and mixtures of states 1 and 2 emulate Life with randomly initialized outputs. This is so that you can have interesting rules earlier, have multiple 2-state rules compete, and start wandering into 3-state dynamics without having to destroy Life's dynamics.

Rules:

Only modify one transition at a time. You can suggest transitions for others to modify.
No variables are allowed, except for the catch-all at the end. Variables would modify multiple transitions at a time and break the rule above.
Do not doublepost, unless someone has not posted for 7 days.
Do not restart the game. The game is playable indefinitely.
Do not change the transition the previous player modified.
Clearly state the transition that you modified when posting.
If you find anything interesting in your rule, please post it.