Trisnub icosahedron (near-miss)

This non-convex isogonal polyhedron is a faceting of a deformed compound of twelve pentagrammic retroprisms.

This near-miss has a set of bisnub Isosceles triangles and a set of snub Isosceles triangles. It has 3 different edge lengths: 1, ~1.04054, ~1.06482.

This polyhedron is notable for being topologically regular since all of its faces are triangles and 10 of them join at each vertex.



Its dual is an isohedral decagrammic hexecontahedron.

(The dual is also topologically regular since all of its faces are decagrams and 3 of them join at each vertex).