Disnub icosahedron (near-miss)

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Disnub icosahedron (near-miss)
Rank3
TypeIsogonal
Elements
Faces60 isosceles trapezoids, 20 triangles, 60 scalene triangles
Edges240
Vertices60
Vertex figureIrregular octagram
Measures ​
Edge length ratio
Related polytopes
ArmyNon-uniform Snid
Properties
SymmetryH3+, order 60
ConvexNo
NatureTame

This non-convex isogonal polyhedron is a faceting of a slightly deformed inverted snub dodecadodecahedron.

This is a near-miss uniform polyhedron that has two types of snub faces: snub Isosceles triangles and snub "squares" (isosceles trapezoids).

It has 4 different edge lengths: 1, ~1.01609, ~1.04382, ~1.04658.

60 isosceles trapezoids 60 equilateral triangles 60 scalene triangles


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