Heptagonal trapezohedron

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Heptagonal trapezohedron
Heptagonal trapezohedron
Type trapezohedron
Conway dA7
Coxeter diagram
Faces 14 kites
Edges 28
Vertices 16
Face configuration V7.3.3.3
Symmetry group D7d, [2+,14], (2*7), order 28
Rotation group D7, [2,7]+, (227), order 14
Dual polyhedron heptagonal antiprism
Properties convex, face-transitive

The heptagonal trapezohedron or deltohedron is the fifth in an infinite series of face-uniform (isohedral) polyhedra which are dual polyhedron to the antiprisms. It has 14 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