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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.
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