Decagonal bipyramid
Appearance
Decagonal bipyramid | |
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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 |
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.
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 |
Square bipyramid |
Pentagonal bipyramid |
Hexagonal bipyramid |
... | Apeirogonal bipyramid |
---|---|---|---|---|---|---|---|
Polyhedron image |
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Spherical tiling image |
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Plane tiling image |
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Face config. | V2.4.4 | V3.4.4 | V4.4.4 | V5.4.4 | V6.4.4 | ... | 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