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.
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| Type | Polyhedral bipyramid |
|---|---|
| Schläfli symbol | {5,3} + { } dt{2,3,5} |
| Coxeter diagram |      |
| Cells | 24 {5}∨{ }  |
| Faces | 60 Isosceles triangles 12 pentagons |
| Edges | 70 (30 + 20 + 20) |
| Vertices | 22 |
| Symmetry group | [2,5,3], order 240 |
| Dual | Icosahedral prism |
| Properties | convex, isochoric |
It is the dual of a icosahedral prism.
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