Disnub dirhombicosahedron (near-miss)

This non-convex isogonal polyhedron is a faceting of the uniform compound of 12 pentagrammic prisms.

Disnub dirhombicosahedron (near-miss)
Rank3
TypeIsogonal
Elements
Faces60 squares, 20 triangles, 60 isosceles triangles
Edges240
Vertices60
Vertex figureIrregular octagram
Measures ​
Edge length ratio
Related polytopes
ArmySrid
Properties
SymmetryH3+, order 60
ConvexNo
NatureTame

This is a near-miss uniform polyhedron that has two types of snub faces: 30 compounds of two squares and 60 snub Isosceles triangles

It has 2 different edge lengths: 1, ~1.05146

60 squares 20 triangles 60 isosceles triangles

Its dual is an isohedral octagrammic hexecontahedron.

(Although the dual looks like a mirror-symmetric polyhedron, it is actually chiral because of its internal structure)

Its dual is a isohedral octagrammic hexecontahedron
Its dual is a isohedral octagrammic hexecontahedron
Dual's face
Dual's face