Petrial great icosahedron
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|Petrial great icosahedron|
|Faces||6 skew decagrams|
|Vertex figure||Pentagram, edge length 1|
|Petrie dual||Great icosahedron|
The petrial great icosahedron is a regular skew polyhedron and is the Petrie dual of the great icosahedron, so it shares its vertices and edges with the great icosahedron. It has an Euler characteristic of -12 and consists of 6 skew decagrams.
Vertex coordinates[edit | edit source]
The vertices of a petrial icosahedron of edge length 1 centered at the origin are the same as the small stellated dodecahedron, its regiment colonel.
Related polyhedra[edit | edit source]
The rectification of the petrial icosahedron is the great dodecahemidodecahedron, which is uniform.
External links[edit | edit source]
- Wikipedia Contributors. "Petrie dual".