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Lawrence J. Thaden


Registered: Jan 2004
Posts: 357

The Surprise CA – Elementary 4 Color Modulistic Rule 52

If you look at the first 256 steps of output from the elementary 4 color modulistic cellular automaton for rule 52, you might expect that rule 52’s behavior is a classic case of simple nesting.

And that is true so far as it goes. But let the cellular automaton run past step 256 and you are in for a big surprise.

Attached is a graphic of the first 1800 steps. I have run the cellular automaton 1,100,000 steps without finding any cycle.

Lawrence J. Thaden has attached this image:

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Old Post 01-14-2006 02:04 AM
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Val Smith


Registered: Jun 2005
Posts: 39

I am sure that:

The number of states < or = 4^256.

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Old Post 03-24-2006 07:11 AM
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