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

References

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