Trisnub icosahedron (near-miss)

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

Trisnub icosahedron (near-miss)
Rank	3
Type	Isogonal
Elements
Faces	120 isosceles triangles, 20 triangles, 60 isosceles triangles
Edges	300
Vertices	60
Vertex figure	Irregular decagram
Measures ​
Edge length ratio	$\approx 1.06482$
Army	Non-uniform Ti
Properties
Symmetry	H3, order 120
Convex	No
Nature	Tame

This is a near-miss uniform polyhedron that 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.

120 Isosceles triangles	60 Equilateral triangles	60 Isosceles triangles

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).

Its dual is a isohedral octagrammic hexecontahedron

Dual's face