title: Dodecahedral bipyramid
text: # Dodecahedral bipyramid
  
  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.
  
  