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Decagonal bipyramid

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Decagonal bipyramid
Typebipyramid
Faces20 triangles
Edges30
Vertices12
Schläfli symbol{ } + {10}
Coxeter diagram
Symmetry groupD10h, [10,2], (*2.2.10), order 40
Rotation groupD10, [10,2]+, (2.2.10), order 20
Dual polyhedronDecagonal prism
Face configurationV4.4.10
Propertiesconvex, 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
...
  • Weisstein, Eric W. "Dipyramid". MathWorld.
  • Virtual Reality Polyhedra The Encyclopedia of Polyhedra