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Octagonal trapezohedron

Octagonal trapezohedron
Octagonal trapezohedron
Type trapezohedron
Conway dA8
Coxeter diagram CDel node fh.pngCDel 2x.pngCDel node fh.pngCDel 16.pngCDel node.png
CDel node fh.pngCDel 2x.pngCDel node fh.pngCDel 8.pngCDel node fh.png
Faces 16 kites
Edges 32
Vertices 18
Face configuration V8.3.3.3
Symmetry group D8d, [2+,16], (2*8), order 32
Rotation group D8, [2,8]+, (228), order 16
Dual polyhedron octagonal antiprism
Properties convex, face-transitive

The octagonal trapezohedron or deltohedron is the sixth in an infinite series of face-uniform (isohedral) polyhedra which are dual polyhedron to the antiprisms. It has sixteen faces which are congruent kites.

See also

Family of n-gonal trapezohedra
Polyhedron image 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 ... Apeirogonal trapezohedron
Spherical tiling image 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 Plane tiling image Apeirogonal trapezohedron.svg
Face configuration Vn.3.3.3 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

  • Weisstein, Eric W. "Trapezohedron". MathWorld.
  • Virtual Reality Polyhedra The Encyclopedia of Polyhedra
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