Disnub disicosahedron B (near-miss)

This non-convex isogonal polyhedron is a faceting of a slightly deformed compound of five great icosahedra.

Disnub disicosahedron B (near-miss)
Rank	3
Type	Isogonal
Space	Spherical
Elements
Faces	60 scalene triangles, 20 triangles, 60 scalene triangles, 20 triangles
Edges	240
Vertices	60
Vertex figure	Irregular octagram
Measures ​
Edge length ratio	$\approx 1.04027$
Related polytopes
Army	Non-uniform snid
Abstract & topological properties
Schläfli type	{3,8}
Properties
Symmetry	H3+, order 60
Convex	No
Nature	Tame

This is a near-miss uniform polyhedron that has two sets of different snub scalene triangles.

It has 5 different edge lengths: 1, ~1.00016, ~1.03228, ~1.03583, ~1.04027.

This polyhedron is notable for being topologically regular since all of its faces are triangles and 8 of them join at each vertex.

60 Scalene triangles	20 Equilateral triangles	60 Scalene triangles	20 Equilateral triangles

Its dual is an isohedral octagrammic hexecontahedron.

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

Dual's face