Dodecagonal trapezohedron

The dodecagonal trapezohedron or deltohedron is one in an infinite series of face-uniform (isohedral) polyhedra which are dual polyhedron to the antiprisms. It has 24 faces which are congruent kites.

Dodecagonal trapezohedron
Typetrapezohedron
ConwaydA12
Coxeter diagram
Faces24 kites
Edges48
Vertices26
Face configurationV12.3.3.3
Symmetry groupD12d, [2+,24], (2*12), order 48
Rotation groupD12, [2,12]+, (2.2.12), order 24
Dual polyhedronDodecagonal antiprism
Propertiesconvex, face-transitive

See also

Family of n-gonal trapezohedra
Polyhedron image ... Apeirogonal trapezohedron
Spherical tiling image Plane tiling image
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
  • Weisstein, Eric W. "Trapezohedron". MathWorld.
  • Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
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