Decagrammic-small hendecagrammic duoprism |
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Rank | 4 |
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Type | Uniform |
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Notation |
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Coxeter diagram | x10/3o x11/2o () |
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Elements |
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Cells | 11 decagrammic prisms, 10 small hendecagrammic prisms |
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Faces | 110 squares, 11 decagrams, 10 small hendecagrams |
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Edges | 110+110 |
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Vertices | 110 |
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Vertex figure | Digonal disphenoid, edge lengths √(5–√5)/2 (base 1), 2cos(2π/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 | Stiddip–10/3–stiddip: |
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| Stiddip–4–sishenp: 90° |
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| Sishenp–11/2–sishenp: 72° |
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Central density | 6 |
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Number of external pieces | 42 |
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Level of complexity | 24 |
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Related polytopes |
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Army | Semi-uniform dahendip |
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Dual | Decagrammic-small hendecagrammic duotegum |
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Conjugates | Decagonal-hendecagonal duoprism, Decagonal-small hendecagrammic duoprism, Decagonal-hendecagrammic duoprism, Decagonal-great hendecagrammic duoprism, Decagonal-grand hendecagrammic duoprism, Decagrammic-hendecagonal duoprism, Decagrammic-hendecagrammic duoprism, Decagrammic-great hendecagrammic duoprism, Decagrammic-grand hendecagrammic duoprism |
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Abstract & topological properties |
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Flag count | 2640 |
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Euler characteristic | 0 |
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Orientable | Yes |
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Properties |
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Symmetry | I2(10)×I2(11), order 440 |
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Convex | No |
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Nature | Tame |
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The decagrammic-small hendecagrammic duoprism, also known as the 10/3-11/2 duoprism, is a uniform duoprism that consists of 11 decagrammic prisms and 10 small hendecagrammic prisms, with 2 of each at each vertex.
The vertex coordinates of a decagrammic-small hendecagrammic duoprism, centered at the origin and with edge length 2sin(2π/11), are given by:
- ,
- ,
- ,
- ,
- ,
- ,
where j = 2, 4, 6, 8, 10.
A decagrammic-small hendecagrammic duoprism duoprism has the following Coxeter diagrams: