Disnub icosidodecahedron (near-miss)

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Disnub icosidodecahedron (near-miss)
Rank3
TypeIsogonal
Elements
Faces12 pentagons, 20 triangles, 60 scalene triangles, 60 scalene triangles
Edges240
Vertices60
Vertex figureIrregular octagram
Measures ​
Edge length ratio
ArmyNon-uniform Snid
Properties
SymmetryH3+, order 60
ConvexNo
NatureTame

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

Its dual is a isohedral octagrammic hexecontahedron
Its dual is a isohedral octagrammic hexecontahedron
Dual's face
Dual's face (open to view in full resolution)