Disnub icosidodecahedron (near-miss)

Disnub icosidodecahedron (near-miss)
Rank	3
Type	Isogonal
Space	Spherical
Elements
Faces	12 pentagons, 20 triangles, 60 scalene triangles, 60 scalene triangles
Edges	240
Vertices	60
Vertex figure	Irregular octagram
Measures ​
Edge length ratio	$\approx 1.04932$
Related polytopes
Army	Non-uniform Snid
Properties
Symmetry	H3+, order 60
Convex	No
Nature	Tame

This non-convex isogonal polyhedron is a faceting of a slightly deformed great snub icosidodecahedron.

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

It has 5 different edge lengths: 1, ~1.00549, ~1.0358, ~1.04804, ~1.04932.

12 pentagons	60 rectangles	20 triangles	12 pentagrams

Its dual is an isohedral octagrammic hexecontahedron

Dual's face (open to view in full resolution)