Octagrammic-decagrammic duoprism
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Octagrammic-decagrammic duoprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Stostidedip |
Coxeter diagram | x8/3o x10/3o () |
Elements | |
Cells | 10 octagrammic prisms, 8 decagrammic prisms |
Faces | 80 squares, 10 octagrams, 8 decagrams |
Edges | 80+80 |
Vertices | 80 |
Vertex figure | Digonal disphenoid, edge lengths √2–√2 (base 1), √(5–√5)/2 (base 2), √2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Stop–4–stiddip: 90° |
Stop–8/3–stop: 72° | |
Stiddip–10/3–stiddip: 45° | |
Central density | 9 |
Number of external pieces | 36 |
Level of complexity | 24 |
Related polytopes | |
Army | Semi-uniform odedip |
Regiment | Stostidedip |
Dual | Octagrammic-decagrammic duotegum |
Conjugates | Octagonal-decagonal duoprism, Octagonal-decagrammic duoprism, Octagrammic-decagonal duoprism |
Abstract & topological properties | |
Flag count | 1920 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(8)×I2(10), order 320 |
Convex | No |
Nature | Tame |
The octagrammic-decagrammic duoprism, also known as stostidedip or the 8/3-10/3 duoprism, is a uniform duoprism that consists of 10 octagrammic prisms and 8 decagrammic prisms, with 2 of each at each vertex.
Vertex coordinates[edit | edit source]
The vertex coordinates of an octagrammic-decagrammic duoprism, centered at the origin and with unit edge length, are given by:
- ,
- ,
- ,
- ,
- ,
- .
Representations[edit | edit source]
An octagrammic-decagrammic duoprism has the following Coxeter diagrams:
- x8/3o x10/3o () (full symmetry)
- x4/3x x10/3o () (B2×I2(10) symmetry, octagons as ditetragons)
- x5/3x x8/3o () (H2×I2(8) symmetry, decagrams as distellagrams)
- x4/3x x5/3x () (B2×H2 symmetry)
External links[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "nd-mb-dip".