Snub dodecahedral prism
In geometry, a snub dodecahedral prism or snub icosidodecahedral prism is a convex uniform polychoron (four-dimensional polytope).
Snub dodecahedral prism | |
---|---|
Schlegel diagram | |
Type | Prismatic uniform polychoron |
Uniform index | 64 |
Schläfli symbol | sr{3,5}×{} |
Coxeter-Dynkin | |
Cells | 94 total: 2 3.3.3.3.5 |
Faces | 334 total: 160 {3} 150 {4} 24 {5} |
Edges | 360 |
Vertices | 120 |
Vertex figure | irr. pentagonal pyramid |
Symmetry group | [(5,3)+,2], order 120 |
Properties | convex |
It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes, in this case a pair of snub dodecahedra.
Alternative names
- Snub-icosidodecahedral dyadic prism (Norman W. Johnson)
- Sniddip (Jonathan Bowers: for snub-dodecahedral prism)
- Snub-icosidodecahedral hyperprism
- Snub-dodecahedral prism
- Snub-dodecahedral hyperprism
See also
- Snub dodecahedral antiprism ht0,1,2,3{5,3,2}, or - A related nonuniform polychoron
External links
- 6. Convex uniform prismatic polychora - Model 64, George Olshevsky.
- Klitzing, Richard. "4D uniform polytopes (polychora) x s3s5s - sniddip".
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