Square-enneagrammic duoprism
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Square-enneagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sastedip |
Coxeter diagram | x4o x9/2o () |
Elements | |
Cells | 9 cubes, 4 enneagrammic prisms |
Faces | 9+36 squares, 4 enneagrammic prisms |
Edges | 36+36 |
Vertices | 36 |
Vertex figure | Digonal disphenoid, edge lengths 2cos(2π/9) (base 1) and √2 (base 2 and sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Cube–4–cube: 100° |
Step–9/2–step: 90° | |
Cube–4–step: 90° | |
Height | 1 |
Central density | 2 |
Number of external pieces | 22 |
Level of complexity | 12 |
Related polytopes | |
Army | Semi-uniform sendip |
Regiment | Sastedip |
Dual | Square-enneagrammic duotegum |
Conjugates | Square-enneagonal duoprism, Square-great enneagrammic duoprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B2×I2(9), order 144 |
Convex | No |
Nature | Tame |
The square-enneagrammic duoprism, also known as sastedip or the 4-9/2 duoprism, is a uniform duoprism that consists of 9 cubes and 4 enneagrammic prisms, with 2 of each at each vertex.
The name can also refer to the square-great enneagrammic duoprism, which uses a different stellation of the enneagon.
Vertex coordinates[edit | edit source]
The coordinates of a square-enneagrammic duoprism, centered at the origin and with edge length 2sin(2π/9), are given by:
where j = 2, 4, 8.
Representations[edit | edit source]
A square-enneagrammic duoprism has the following Coxeter diagrams:
- x4o x9/2o (full symmetry)
- x x x9/2o () (I2(9)×A1×A1 symmetry, enneagrammic prismatic prism)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "nd-mb-dip".