Decagonal bipyramid
In geometry, a decagonal bipyramid is one of the infinite set of bipyramids, dual to the infinite prisms. If a decagonal bipyramid is to be face-transitive, all faces must be isosceles triangles. It is an icosahedron, but not the regular one.
| Decagonal bipyramid | |
|---|---|
 | |
| Type | bipyramid |
| Faces | 20 triangles |
| Edges | 30 |
| Vertices | 12 |
| Schläfli symbol | { } + {10} |
| Coxeter diagram |      |
| Symmetry group | D10h, [10,2], (*2.2.10), order 40 |
| Rotation group | D10, [10,2]+, (2.2.10), order 20 |
| Dual polyhedron | Decagonal prism |
| Face configuration | V4.4.10 |
| Properties | convex, face-transitive |
Images
It can be drawn as a tiling on a sphere, and represents the fundamental domains of [5,2], *5.2.2 symmetry.
See also
| Bipyramid name | Digonal bipyramid | Triangular bipyramid (See: J12) |
Square bipyramid (See: O) |
Pentagonal bipyramid (See: J13) |
Hexagonal bipyramid | Heptagonal bipyramid | Octagonal bipyramid | Enneagonal bipyramid | Decagonal bipyramid | ... | Apeirogonal bipyramid |
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| Polyhedron image |  |
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| Spherical tiling image |  |
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Plane tiling image |  |
| Face config. | V2.4.4 | V3.4.4 | V4.4.4 | V5.4.4 | V6.4.4 | V7.4.4 | V8.4.4 | V9.4.4 | V10.4.4 | ... | V∞.4.4 |
| Coxeter diagram |  |
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External links
- Weisstein, Eric W. "Dipyramid". MathWorld.
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
- VRML models <10>
- Conway Notation for Polyhedra Try: dP10
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