Decagonal trapezohedron

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Decagonal trapezohedron
Decagonal trapezohedron
Type trapezohedra
Conway dA10
Coxeter diagram CDel node fh.pngCDel 2x.pngCDel node fh.pngCDel 2x.pngCDel 0x.pngCDel node.png
CDel node fh.pngCDel 2x.pngCDel node fh.pngCDel 10.pngCDel node fh.png
Faces 20 kites
Edges 40
Vertices 22
Face configuration V10.3.3.3
Symmetry group D10d, [2+,20], (2*10), order 40
Rotation group D10, [2,10]+, (2.2.10), order 20
Dual polyhedron Decagonal antiprism
Properties convex, face-transitive

The decagonal trapezohedron (or decagonal deltohedron) is the eighth in an infinite series of face-uniform polyhedra which are dual polyhedra to the antiprisms. It has twenty faces which are congruent kites.[citation needed]

See also

Family of trapezohedra V.n.3.3.3
Polyhedron Digonal trapezohedron.png TrigonalTrapezohedron.svg Tetragonal trapezohedron.png Pentagonal trapezohedron.svg Hexagonal trapezohedron.png Heptagonal trapezohedron.png Octagonal trapezohedron.png Decagonal trapezohedron.png Dodecagonal trapezohedron.png
Tiling Spherical digonal antiprism.png Spherical trigonal trapezohedron.png Spherical tetragonal trapezohedron.png Spherical pentagonal trapezohedron.png Spherical hexagonal trapezohedron.png Spherical heptagonal trapezohedron.png Spherical octagonal trapezohedron.png Spherical decagonal trapezohedron.png Spherical dodecagonal trapezohedron.png Apeirogonal deltahedron.svg
Config. V2.3.3.3 V3.3.3.3 V4.3.3.3 V5.3.3.3 V6.3.3.3 V7.3.3.3 V8.3.3.3 ...V10.3.3.3 ...V12.3.3.3 ...V∞.3.3.3

External links

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