| Icosahedral bipyramid | |
| Type: | Polyhedral bipyramid |
| Schläfli: | |
| Face List: | 80 |
| Edge Count: | 54 (30+12+12) |
| Vertex Count: | 14 (12+2) |
| Symmetry Group: | [2,3,5], order 240 |
| Property List: | convex, regular-celled, Blind polytope |
In 4-dimensional geometry, the icosahedral bipyramid is the direct sum of an icosahedron and a segment, Each face of a central icosahedron is attached with two tetrahedra, creating 40 tetrahedral cells, 80 triangular faces, 54 edges, and 14 vertices.[1] An icosahedral bipyramid can be seen as two icosahedral pyramids augmented together at their bases.
It is the dual of a dodecahedral prism, Coxeter-Dynkin diagram, so the bipyramid can be described as . Both have Coxeter notation symmetry [2,3,5], order 240.
Having all regular cells (tetrahedra), it is a Blind polytope.