Octagrammic-hendecagonal duoprism |
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Rank | 4 |
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Type | Uniform |
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Notation |
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Coxeter diagram | x8/3o x11o () |
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Elements |
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Cells | 11 octagrammic prisms, 8 hendecagonal prisms |
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Faces | 88 squares, 11 octagrams, 8 hendecagons |
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Edges | 88+88 |
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Vertices | 88 |
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Vertex figure | Digonal disphenoid, edge lengths √2–√2 (base 1), 2cos(π/11) (base 2), √2 (sides) |
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Measures (edge length 1) |
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Circumradius | |
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Hypervolume | |
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Dichoral angles | Stop–8/3–stop: |
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| Stop–4–henp: 90° |
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| Henp–11–henp: 45° |
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Central density | 3 |
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Number of external pieces | 27 |
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Level of complexity | 12 |
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Related polytopes |
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Army | Semi-uniform ohendip |
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Dual | Octagrammic-hendecagonal duotegum |
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Conjugates | Octagonal-hendecagonal duoprism, Octagonal-small hendecagrammic duoprism, Octagonal-hendecagrammic duoprism, Octagonal-great hendecagrammic duoprism, Octagonal-grand hendecagrammic duoprism, Octagrammic-small hendecagrammic duoprism, Octagrammic-hendecagrammic duoprism, Octagrammic-great hendecagrammic duoprism, Octagrammic-grand hendecagrammic duoprism |
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Abstract & topological properties |
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Flag count | 2112 |
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Euler characteristic | 0 |
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Orientable | Yes |
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Properties |
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Symmetry | I2(8)×I2(11), order 352 |
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Convex | No |
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Nature | Tame |
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The octagrammic-hendecagonal duoprism, also known as the 8/3-11 duoprism, is a uniform duoprism that consists of 11 octagrammic prisms and 8 hendecagonal prisms, with 2 of each at each vertex.
The coordinates of an octagrammic-hendecagonal duoprism, centered at the origin and with edge length 2sin(π/11), are given by:
- ,
- ,
- ,
- ,
where j = 2, 4, 6, 8, 10.
An octagrammic-hendecagonal duoprism has the following Coxeter diagrams: