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Unstable Triangles

I say "unstable" because this kind of arrangement will inevitably run into a contradiction (this I found out and proved whilst missing my stop on the bus....) Only monomial and binomial triangle patterns will be able to tessellate infinitely. Tomorrow I'm going to try generalizing this, to see if I can manage some other patterns.

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Uploaded on March 10, 2009
Taken on March 10, 2009