Decagonal bipyramid

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

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

Regular right symmetric n-gonal bipyramids:

Bipyramid name	Digonal bipyramid	Triangular bipyramid	Square bipyramid	Pentagonal bipyramid	Hexagonal 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	...	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