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Dodecahedral bipyramid

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4-D convex polytope
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Ortogonal projection
  Central dodecahedron vertices (20)   Apex vertices (2)
TypePolyhedral bipyramid
Schläfli symbol{5,3} + { }
dt{2,3,5}
Coxeter diagram
Cells24 {5}∨{ }
Faces60 Isosceles triangles
12 pentagons
Edges70 (30 + 20 + 20)
Vertices22
Symmetry group, order 240
DualIcosahedral prism
Propertiesconvex, 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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