Octagonal trapezohedron

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Octagonal trapezohedron
Octagonal trapezohedron
Type trapezohedron
Conway dA8
Coxeter diagram
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
Trapezohedron name Digonal trapezohedron
(Tetrahedron)
Trigonal trapezohedron Tetragonal trapezohedron Pentagonal trapezohedron Hexagonal trapezohedron Heptagonal trapezohedron Octagonal trapezohedron Decagonal trapezohedron Dodecagonal trapezohedron ... Apeirogonal trapezohedron
Polyhedron image ...
Spherical tiling image Plane tiling image
Face configuration 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