Antitruncated great icosahedron

The antitruncated great icosahedron or inflected truncated great icosahedron is a semi-uniform polyhedron. It is both the antitruncation of the great icosahedron and a faceting of the truncated icosahedron. It consists of 20 propeller tripods and 12 pentagrams, with an isosceles triangle vertex figure and 1 pentagram and 2 propeller tripods at a vertex.

Antitruncated great icosahedron
Rank3
TypeSemi-uniform
Elements
Faces20 propeller tripods, 12 pentagrams
Edges60+30
Vertices60
Related polytopes
ArmyTi
DualAntiapiculated great stellated dodecahedron
Convex coreIcosahedron
Abstract & topological properties
Euler characteristic2
OrientableYes
Genus0
Properties
ConvexNo
NatureTame

Vertex coordinates edit

The coordinates of the antitruncated great icosahedron are the same as the truncated icosahedron, being all permutations and changes of sign of

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Variations edit

The antitruncated great icosahedron is part of a teepee where the great icosahedron is antitruncated by a different amount.