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Explain this behavior of MultiwaySystem[ ]?

Posted 11 days ago
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In the first step there are two arrows, because the rule (which is the identity) can be applied in two ways to the initial state.
I don't understand why there are four arrows for every subsequent step.

3 Replies

Interesting. Have you got any idea why does it behave like that?

All know is that where your(2X2) map had 2,4 then 4 paths, my (3X3) map had 6, 36 then 36. I suspect a (4X4) map will have 4,64 then 64 paths.

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