Octagrammic-enneagrammic duoprism
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Octagrammic-enneagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Stostedip |
Coxeter diagram | x8/3o x9/2o () |
Elements | |
Cells | 9 octagrammic prisms, 8 enneagrammic prisms |
Faces | 72 squares, 9 octagrams, 8 enneagrams |
Edges | 72+72 |
Vertices | 72 |
Vertex figure | Digonal disphenoid, edge lengths √2–√2 (base 1), 2cos(2π/9) (base 2), √2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Stop–8/3–stop: 100° |
Stop–4–step: 90° | |
Step–9/2–step: 45° | |
Central density | 6 |
Number of external pieces | 34 |
Level of complexity | 24 |
Related polytopes | |
Army | Semi-uniform oedip |
Regiment | Stostedip |
Dual | Octagrammic-enneagrammic duotegum |
Conjugates | Octagonal-enneagonal duoprism, Octagonal-enneagrammic duoprism, Octagonal-great enneagrammic duoprism, Octagrammic-enneagonal duoprism, Octagrammic-great enneagrammic duoprism |
Abstract & topological properties | |
Flag count | 1728 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(8)×I2(9), order 288 |
Convex | No |
Nature | Tame |
The octagrammic-enneagrammic duoprism, also known as stostedip or the 8/3-9/2 duoprism, is a uniform duoprism that consists of 9 octagrammic prisms and 8 enneagrammic prisms, with 2 of each at each vertex.
The name can also refer to the octagrammic-great enneagrammic duoprism.
Vertex coordinates[edit | edit source]
The coordinates of an octagrammic-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]
An octagrammic-enneagrammic duoprism has the following Coxeter diagrams:
- x8/3o x9/2o () (full symmetry)
- x4/3x x9/2o () (B2×I2(9) symmetry, octagrams as ditetragrams)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "nd-mb-dip".