Octagrammic-dodecagrammic duoprism
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Octagrammic-dodecagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Coxeter diagram | x8/3o x12/5o () |
Elements | |
Cells | 12 octagrammic prisms, 8 dodecagrammic prisms |
Faces | 96 squares, 12 octagrams, 8 dodecagrams |
Edges | 96+96 |
Vertices | 96 |
Vertex figure | Digonal disphenoid, edge lengths √2–√2 (base 1), (√6–√2)/2 (base 2), √2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Stop–4–stwip: 90° |
Stwip–12/5–stwip: 45° | |
Stop–8/3–stop: 30° | |
Central density | 15 |
Number of external pieces | 40 |
Level of complexity | 24 |
Related polytopes | |
Army | Semi-uniform otwadip |
Dual | Octagrammic-dodecagrammic duotegum |
Conjugates | Octagonal-dodecagonal duoprism, Octagonal-dodecagrammic duoprism, Octagrammic-dodecagonal duoprism |
Abstract & topological properties | |
Flag count | 2304 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(8)×I2(12), order 384 |
Convex | No |
Nature | Tame |
The octagrammic-dodecagrammic duoprism, also known as the 8/3-12/5 duoprism, is a uniform duoprism that consists of 12 octagrammic prisms and 8 dodecagrammic prisms, with 2 of each at each vertex.
Vertex coordinates[edit | edit source]
The coordinates of an octagrammic-dodecagrammic duoprism, centered at the origin and with unit edge length, are given by:
- ,
- ,
- ,
- ,
- ,
- .
Representations[edit | edit source]
An octagrammic-dodecagrammic duoprism has the following Coxeter diagrams:
- x8/3o x12/5o () (full symmetry)
- x6/5x x8/3o () (G2×I2(8) symmetry, dodecagrams as dihexagrams)
- x4/3x x12/5o () (B2×G2(12) symmetry, octagrams as ditetragrams)
- x4/3x x6/5x () (B2×G2 symmetry)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "nd-mb-dip".