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5 votes

Exponential bounds for the number of lattice animals with a given boundary.

EDIT: I see that Steve has more or less the same construction above. I should have read his answer more carefully before I posted. I don't believe it's true. Let's say you have a square polyomino wit …
Peter Shor's user avatar
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5 votes

Forbidden mirror sequences

Here is a possible way of producing such forbidden configurations. Suppose you have $(ab)^k$ for some large $k$. Then I'd like to claim that $a$ and $b$ must be nearly parallel (see Thurston's answer) …
Peter Shor's user avatar
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