Square-pentagrammic duoprism
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Square-pentagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sistadip |
Coxeter diagram | x4o x5/2o () |
Elements | |
Cells | 5 cubes, 4 pentagrammic prisms |
Faces | 5+20 squares, 4 pentagrams |
Edges | 20+20 |
Vertices | 20 |
Vertex figure | Digonal disphenoid, edge lengths (√5–1)/2 (base 1) and √2 (base 2 and sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Stip–5/2–stip: 90° |
Cube–4–stip: 90° | |
Cube–4–cube: 36° | |
Height | 1 |
Central density | 2 |
Number of external pieces | 14 |
Level of complexity | 12 |
Related polytopes | |
Army | Semi-uniform squipdip |
Regiment | Sistadip |
Dual | Square-pentagrammic duotegum |
Conjugate | Square-pentagonal duoprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B2×H2, order 80 |
Convex | No |
Nature | Tame |
The square-pentagrammic duoprism, also known as sistadip or the 4-5/2 duoprism, is a uniform duoprism that consists of 5 cubes and 4 pentagrammic prisms, with 2 of each at each vertex.
Vertex coordinates[edit | edit source]
The coordinates of a square-pentagrammic duoprism, centered at the origin and with unit edge length, are given by:
Representations[edit | edit source]
A square-pentagrammic duoprism has the following Coxeter diagrams:
- x4o x5/2o (full symmetry)
- x x x5/2o () (H2×A1×A1 symmetry, pentagrammic prismatic prism)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "nd-mb-dip".