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

Family of bipyramids

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

• Weisstein, Eric W., "Dipyramid", MathWorld.
• Olshevsky, George, Bipyramid at Glossary for Hyperspace.
• Virtual Reality Polyhedra The Encyclopedia of Polyhedra
  • VRML models <8>
  • Conway Notation for Polyhedra Try: dP8