Great dodecahemicosahedral prism
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|Great dodecahemicosahedral prism|
|Bowers style acronym||Gidhipe|
|Coxeter diagram||(x o5/4x3x5*b)/2 (/2)|
|Cells||12 pentagonal prisms, 10 hexagonal prisms, 2 great dodecahemicosahedra|
|Faces||60 squares, 24 pentagons, 20 hexagons|
|Vertex figure||Bowtie pyramid, edge lengths (1+√5)/2, √3 (base), √2 (legs)|
|Measures (edge length 1)|
|Dichoral angles||Gidhei–5–pip: 90°|
|Number of pieces||314|
|Dual||Great dodecahemicosacronic tegum|
|Conjugate||Small dodecahemicosahedral prism|
|Symmetry||H3×A1, order 240|
The great dodecahemicosahedral prism or gidhipe, is a prismatic uniform polychoron that consists of 2 great dodecahemicosahedra, 12 pentagonal prisms, and 10 hexagonal prisms. Each vertex joins 1 great dodecahemicosahedron, 2 pentagonal prisms, and 2 hexagonal prisms. As the name suggests, it is a prism based on the great dodecahemicosahedron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the dodecadodecahedral prism.
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#916).