Snub icosidisdodecahedron (near-miss)

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Snub icosidisdodecahedron (near-miss)
Rank3
TypeSemi-uniform
Elements
Faces12 pentagons, 60 rectangles, 20 triangles, 12 pentagrams
Edges210
Vertices60
Vertex figureIrregular heptagram
Measures ‚Äč
Edge length ratio
ArmyNon-uniform Snid
Properties
SymmetryH3+, order 60
ConvexNo
NatureTame

This non-convex isogonal polyhedron is a faceting of a deformed compound of five truncated tetrahedra.

This is a near-miss uniform polyhedron that has snub "squares" (rectangles).

It has 2 different edge lengths: 1, ~1.064813827.

This polyhedron is notable for being semi-uniform.

12 pentagons 60 rectangles 20 triangles 12 pentagrams

Its dual is an isohedral heptagrammic 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)