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edanet Sat, Nov 15, 2008
Hi, it is a kind of "Similarity Tiling". The concept is worked out in Grünbaum and Shepard's book tiling and patterns. We with my friend also made some versions of the similarity tilings. Most of them are quadrilateral tilings. If you like I can send you a paper we wrote with my Dutch friend Walt van Ballegooijen.

Seeing those extra triangles this picture is looking like a three dimensional construction. Like a dome. Domes are an other interesting field of geometry. A good book was written on the Islam domes by the French artist Jean-Marc Castera.