Dodecahedral prism
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Dodecahedral prism | |
---|---|
Schlegel diagram Only one dodecahedral cell shown |
|
Type | Prismatic uniform polychoron |
Cells | 2 (5.5.5) 12 (4.4.5) |
Faces | 30 {4} 24 {5} |
Edges | 80 |
Vertices | 40 |
Vertex configuration | Equilateral-triangular pyramid |
Symmetry group | [5,3]x[] |
Schläfli symbol | {5,3}x{} |
Properties | convex |
In geometry, a dodecahedral hyperprism is a convex uniform polychoron (four dimensional polytope). This polychoron has 14 polyhedral cells: 2 dodecahedra connected by 12 pentagonal prisms. It has 54 faces: 30 squares and 24 pentagons. It has 80 edges and 40 vertices.
It can be constructed by creating two coinciding dodecahedra in 3-space, and translating each copy in opposite perpendicular directions in 4-space until their separation equals their edge length.
Alternative names:
- Dodecahedral dyadic prism Norman W. Johnson
- Dope (for dodecahedral prism) Jonathan Bowers
- Dodecahedral prism
It is one of 18 convex uniform hyperprisms created by using uniform prisms to connect pairs of parallel Platonic solids or Archimedean solids.
[edit] External links
- Figure 57 Prismatic convex uniform polychora (George Olshevsky)