Hendecagonal-tetrahedral duoprism |
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Rank | 5 |
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Type | Uniform |
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Notation |
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Bowers style acronym | Hentet |
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Coxeter diagram | x11o x3o3o |
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Elements |
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Tera | 11 tetrahedral prisms, 4 triangular-hendecagonal duoprisms |
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Cells | 11 tetrahedra, 44 triangular prisms, 6 hendecagonal prisms |
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Faces | 44 triangles, 66 squares, 4 hendecagons |
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Edges | 44+66 |
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Vertices | 44 |
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Vertex figure | Triangular scalene, edge lengths 1 (base triangle), 2cos(π/11) (top), √2 (sides) |
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Measures (edge length 1) |
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Circumradius | |
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Hypervolume | |
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Diteral angles | Tepe–tet–tepe: |
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| Tepe–trip–thendip: 90° |
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| Thendip–henp–thendip: |
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Heights | Heng atop thendip: |
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| Henp atop perp henp: |
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Central density | 1 |
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Number of external pieces | 15 |
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Level of complexity | 10 |
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Related polytopes |
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Army | Hentet |
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Regiment | Hentet |
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Dual | Hendecagonal-tetrahedral duotegum |
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Conjugates | Small hendecagrammic-tetrahedral duoprism, Hendecagrammic-tetrahedral duoprism, Great hendecagrammic-tetrahedral duoprism, Grand hendecagrammic-tetrahedral duoprism |
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Abstract & topological properties |
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Euler characteristic | 2 |
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Orientable | Yes |
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Properties |
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Symmetry | A3×I2(11), order 528 |
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Convex | Yes |
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Nature | Tame |
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The hendecagonal-tetrahedral duoprism or hentet is a convex uniform duoprism that consists of 11 tetrahedral prisms and 4 triangular-hendecagonal duoprisms. Each vertex joins 2 tetrahedral prisms and 3 triangular-hendecagonal duoprisms.
The vertices of a hendecagonal-tetrahedral duoprism of edge length 2sin(π/11) are given by all even sign changes of the last three coordinates of:
where j = 2, 4, 6, 8, 10.