Antitruncated great dodecahedron
|Antitruncated great dodecahedron|
|Faces||12 pentagrams, 12 pentapods.|
|Dual||Antiapiculated small stellated dodecahedron|
|Abstract & topological properties|
The antitruncated great dodecahedron or inflected truncated great dodecahedron is a semi-uniform polyhedron. It is both the antitruncation of the great dodecahedron and a faceting of the small rhombicosidodecahedron. It consists of 12 pentapods and 12 pentagrams, with an isosceles triangle vertex figure and 1 pentagram and 2 pentapods at a vertex.
Vertex coordinates[edit | edit source]
The coordinates of the antitruncated great dodecahedron are the same as the small rhombicosidodecahedron, being
all permutations of
along with all even permutations of
Variations[edit | edit source]
The antitruncated great dodecahedron is part of a teepee where the great dodecahedron is antitruncated by a different amount.