Snub triheptagonal tiling

Drawn in chiral pairs, with edges missing between black triangles: : == Dual tiling ==

The dual tiling is called an order-7-3 floret pentagonal tiling, and is related to the floret pentagonal tiling. : == Related polyhedra and tilings ==

This semiregular tiling is a member of a sequence of snubbed polyhedra and tilings with vertex figure (3.3.3.3.n) and Coxeter–Dynkin diagram . These figures and their duals have (n32) rotational symmetry, being in the Euclidean plane for n=6, and hyperbolic plane for any higher n. The series can be considered to begin with n=2, with one set of faces degenerated into digons. From a Wythoff construction there are eight hyperbolic uniform tilings that can be based from the regular heptagonal tiling. Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms. ==References==