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.

It can be drawn as a tiling on a sphere, and represents the fundamental domains of [5,2], *5.2.2 symmetry.

• Weisstein, Eric W.. "Dipyramid". http://mathworld.wolfram.com/Dipyramid.html. 
• Virtual Reality Polyhedra The Encyclopedia of Polyhedra
  • VRML models <10>
  • Conway Notation for Polyhedra Try: dP10

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