Great icosahedral prism
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|Great icosahedral prism|
|Bowers style acronym||Gipe|
|Coxeter diagram||x o5/2o3x ()|
|Cells||20 triangular prisms, 2 great icosahedra|
|Faces||40 triangles, 30 squares|
|Vertex figure||Pentagrammic pyramid, edge lengths 1 (base), √2 (legs)|
|Measures (edge length 1)|
|Dichoral angles||Gike–3–trip: 90°|
|Number of pieces||182|
|Dual||Great stellated dodecahedral tegum|
|Symmetry||H3×A1, order 240|
The great icosahedral prism or gipe is a prismatic uniform polychoron that consists of 2 great icosahedra and 20 triangular prisms. Each vertex joins 1 great icosahedron and 5 triangular prisms. As the name suggests, it is a prism based on the great icosahedron.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small stellated dodecahedral prism.
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#895).
- Klitzing, Richard. "gipe".