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Daniil Frolov wrote on 2010-10-17 UTC
Actually, there is infinitive number of possible triangle tesselation: any polygon can be divided into triangles (number of triangles is same as number of i's sides). In all triangle variants i know this polygon is hexagon, in tesselation i suggested, it's rectangle. And large triangles, composed of triangular cells can be arranged in same ways as cells.
But there are two most interesting tessellations, i see: the own that i described before and 3 triangles arranged in one large triangle, 3 such large triangles are arranged into larger triangle, and so on (it should have 27 or 81 cells).

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