Octagonal bipyramid
Octagonal bipyramid | |
---|---|
Type | bipyramid |
Schläfli symbol | { } + {8} |
Coxeter diagram | |
Faces | 16 triangles |
Edges | 24 |
Vertices | 10 |
Face configuration | V4.4.8 |
Symmetry group | D8h, [8,2], (*228), order 32 |
Rotation group | D8, [8,2]+, (228), order 16 |
Dual | octagonal prism |
Properties | convex, face-transitive |
The octagonal bipyramid is one of the infinite set of bipyramids, dual to the infinite prisms. If an octagonal bipyramid is to be face-transitive, all faces must be isosceles triangles.
Images
It can be drawn as a tiling on a sphere which also represents the fundamental domains of [4,2], *422 symmetry:
Related polyhedra
Polyhedron | |||||||||
---|---|---|---|---|---|---|---|---|---|
Coxeter | |||||||||
Tiling | |||||||||
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 |
*n42 symmetry mutation of omnitruncated tilings: 4.8.2n | ||||||||
---|---|---|---|---|---|---|---|---|
Symmetry *n42 [n,4] |
Spherical | Euclidean | Compact hyperbolic | Paracomp. | ||||
*242 [2,4] |
*342 [3,4] |
*442 [4,4] |
*542 [5,4] |
*642 [6,4] |
*742 [7,4] |
*842 [8,4]... |
*∞42 [∞,4] | |
Omnitruncated figure |
4.8.4 |
4.8.6 |
4.8.8 |
4.8.10 |
4.8.12 |
4.8.14 |
4.8.16 |
4.8.∞ |
Omnitruncated duals |
V4.8.4 |
V4.8.6 |
V4.8.8 |
V4.8.10 |
V4.8.12 |
V4.8.14 |
V4.8.16 |
V4.8.∞ |
External links
- Olshevsky, George. "Bipyramid". Glossary for Hyperspace. Archived from the original on 4 February 2007.
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
- VRML models <8>
- Conway Notation for Polyhedra Try: dP8
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