Talk:Order 3-7 kisrhombille

Latest comment: 13 years ago by Tamfang in topic smallest tile

Naming edit

I removed Heptakis triangular tiling, alternative name. The Conway kis operator divides a face into triangles with its center and corners, not mid-edges. It's closest to the bisected hexagonal tiling of the Euclidean plane, which Conway calls kisrhombille, seen as dividing rhombic tiling with a kis operation. But the name is ambiguous, so you could say p-q kisrhombille perhaps, 3-6 kisrhombille in that case, and 3-7 kisrhombille here. Tom Ruen (talk) 20:31, 4 June 2010 (UTC)Reply

smallest tile edit

Of the figures that can tile the hyperbolic plane, this triangle has the smallest area.

I'll add that statement to the article when I dig out the book in which I found it (Thurston, Three-Dimensional Geometry and Topology). —Tamfang (talk) 06:41, 16 June 2010 (UTC)Reply