Decagonal bipyramid

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Short description: Bipyramid with 20 faces
Decagonal bipyramid
Decagonal bipyramid.png
Typebipyramid
Faces20 triangles
Edges30
Vertices12
Schläfli symbol{ } + {10}
Coxeter diagramCDel node f1.pngCDel 2x.pngCDel node f1.pngCDel 10.pngCDel node.png
CDel node f1.pngCDel 2x.pngCDel node f1.pngCDel 5.pngCDel node f1.png
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.

Spherical decagonal bipyramid.png

See also

External links