Petrial great dodecahedron
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|Petrial great dodecahedron|
|Faces||10 skew hexagons|
|Measures (edge length 1)|
|Petrie dual||Great dodecahedron|
|Conjugate||Petrial small stellated dodecahedron|
|Symmetry||H3, order 120|
The petrial great dodecahedron is a regular skew polyhedron and the Petrie dual of the great dodecahedron. It consists of 10 skew hexagons, has an Euler characteristic of -8, and it shares the vertices and edges of the icosahedron.
Vertex coordinates[edit | edit source]
The vertices of a petrial great dodecahedron of edge length 1 centered at the origin are the same as the icosahedron, being all cyclic permutations of:
Related polyhedra[edit | edit source]
The rectification of the petrial great icosahedron is the small dodecahemicosahedron, which is uniform.
External links[edit | edit source]
Wikipedia Contributors. "Petrie dual".