Pentagrammic-grand 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 | x5/2o x11/5o () |
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Elements |
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Cells | 11 pentagrammic prisms, 5 grand hendecagrammic prisms |
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Faces | 55 squares, 11 pentagrams, 5 grand hendecagrams |
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Edges | 55+55 |
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Vertices | 55 |
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Vertex figure | Digonal disphenoid, edge lengths (√5–1)/2 (base 1), 2cos(5π/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 | Stip–4–gashenp: 90° |
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| Gashenp–11/5–gashenp: 36° |
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| Stip–5/2–stip: |
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Central density | 10 |
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Number of external pieces | 32 |
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Level of complexity | 24 |
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Related polytopes |
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Army | Semi-uniform pahendip |
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Dual | Pentagrammic-grand hendecagrammic duotegum |
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Conjugates | Pentagonal-hendecagonal duoprism, Pentagonal-small hendecagrammic duoprism, Pentagonal-hendecagrammic duoprism, Pentagonal-great hendecagrammic duoprism, Pentagonal-grand hendecagrammic duoprism, Pentagrammic-hendecagonal duoprism, Pentagrammic-small hendecagrammic duoprism, Pentagrammic-hendecagrammic duoprism, Pentagrammic-great hendecagrammic duoprism |
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Abstract & topological properties |
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Euler characteristic | 0 |
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Orientable | Yes |
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Properties |
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Symmetry | H2×I2(11), order 220 |
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Convex | No |
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Nature | Tame |
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The pentagrammic-grand hendecagrammic duoprism, also known as the 5/2-11/5 duoprism, is a uniform duoprism that consists of 11 pentagrammic prisms and 5 grand hendecagrammic prisms, with 2 of each at each vertex.
The coordinates of a pentagrammic-grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by:
where j = 2, 4, 6, 8, 10.