Average growth rate of the boundary of random patterns

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HartmutHolzwart
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Joined: June 27th, 2009, 10:58 am
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Average growth rate of the boundary of random patterns

Post by HartmutHolzwart » January 20th, 2010, 4:08 pm

It is a well known fact that finite patterns can not grow faster than the spacefiller in terms of the shape of their boundary.

But what would be the average growth of a pattern in a say 20x20 diamond shape after say 10 generations?
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