Decagonal bipyramid | |
---|---|
Type | bipyramid |
Faces | 20 triangles |
Edges | 30 |
Vertices | 12 |
Schläfli symbol | { } + {10} |
Coxeter diagram | |
Symmetry group | D_{10h}, [10,2], (*2.2.10), order 40 |
Rotation group | D_{10}, [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 (See: J_{12}) |
Square bipyramid (See: O) |
Pentagonal bipyramid (See: J_{13}) |
Hexagonal bipyramid | Heptagonal bipyramid | Octagonal bipyramid | Enneagonal bipyramid | Decagonal bipyramid | ... | Apeirogonal bipyramid |
---|---|---|---|---|---|---|---|---|---|---|---|
Polyhedron image | ... | ||||||||||
Spherical tiling image | 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 | ... |
External links
- Weisstein, Eric W. "Dipyramid". MathWorld.
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
- VRML models <10>
- Conway Notation for Polyhedra Try: dP10