|Faces||12 triangles, 20 tripods|
|Measures (edge length 1)|
|Abstract & topological properties|
The antitruncated icosahedron or inflected truncated icosahedron is a semi-uniform polyhedron. It consists of 12 triangles and 20 tripods, with 1 triangle and 2 tripods at a vertex. It has an isosceles triangle vertex figure. It is the antitruncation of the icosahedron and a faceting of the small rhombicosidodecahedron.
Vertex coordinates[edit | edit source]
The antitruncated icosahedron shares its vertices with the small rhombicosidodecahedron, being all permutations of
along with all even permutations of
Variations[edit | edit source]
Continuing to antitruncate the icosahedron without letting vertices cross will form a teepee.