Decahedral bipyramid | ||
---|---|---|
Ortogonal projection The 20 central dodecahedron vertices are shown in red, with 2 apex vertices in yellow. | ||
Type | Polyhedral bipyramid | |
Schläfli symbol | {5,3} + { } dt{2,3,5} | |
Coxeter-Dynkin | ||
Cells | 24 {5}∨{ } | |
Faces | 60 Isosceles triangles 12 pentagons | |
Edges | 70 (30+20+20) | |
Vertices | 22 | |
Dual | Icosahedral prism | |
Symmetry group | [2,5,3], order 240 | |
Properties | convex, isochoric |
In 4-dimensional geometry, the dodecahedral bipyramid is the direct sum of a dodecahedron and a segment, {5,3} + { }. Each face of a central dodecahedron is attached with two pentagonal pyramids, creating 24 pentagonal pyramidal cells, 72 isosceles triangular faces, 70 edges, and 22 vertices. A dodecahedral bipyramid can be seen as two dodecahedral pyramids augmented together at their base.
It is the dual of a icosahedral prism.
See also
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