@mathforge @Tom_Ruen @RodBogart Thx for the tweets about the triangle dissections. They have a long history. They're related to Euclid's construction of the regular pentagon, (impossible) construction of the heptagon, trisection of the angle, Viete's solution of the cubic, etc.
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Coxeter's rhombic dissections are limited to even-sided regular polygons.
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All three vertices of the triangles in pentagon and heptagon construction are vertices of the polygon. If instead, you placed one vertex of the triangle at the center, you'd get a 2*5=10-gon and 2*7=14-gon.
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So, building around this carefully constructed isosceles triangle, even sided polygons start at the center, and odd sided start at opposite side?
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And the full 14-gon rhombic dissection... https://en.wikipedia.org/wiki/Tetradecagon#Dissection …pic.twitter.com/UxH9IVh7oW
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@fcwilkin Tom Ruen pointed at these a few weeks ago. The cycloid table you made appears to make generating these rhombs /amazingly easy)!
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