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Trigonal trapezohedron

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Trigonal trapezohedron
Trigonal trapezohedron
Click on picture for large version.
Type trapezohedra
Coxeter diagram CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 6.pngCDel node.png
CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 3.pngCDel node fh.png
Faces 6 rhombi
Edges 12
Vertices 8
Face configuration 3,3,3,3
Symmetry group D3d, [2+,6], (2*3), order 12
Rotation group D3, [2,6]+, (223), order 6
Dual polyhedron trigonal antiprism
Properties convex, face-transitive
A cube is a special case with square faces

In geometry, the trigonal trapezohedron or deltohedron is the first in an infinite series of face-uniform polyhedra which are dual to the antiprisms. It has six faces which are congruent rhombi.

Trigonal trapezohedra are a subset of the rhombohedra. The cube is a special case with square faces.

See also

Family of trapezohedra
3 4 5 6 7 8 9 10 11 12 ...
CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 6.pngCDel node.png CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 8.pngCDel node.png CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 1x.pngCDel 0x.pngCDel node.png CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 1x.pngCDel 2x.pngCDel node.png CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 1x.pngCDel 4.pngCDel node.png CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 1x.pngCDel 6.pngCDel node.png CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 2x.pngCDel 0x.pngCDel node.png CDel node fh.pngCDel 2.pngCDel node fh.pngCDel 2x.pngCDel 4.pngCDel node.png
Trigonal trapezohedron.png Tetragonal trapezohedron.png Pentagonal trapezohedron.svg Hexagonal trapezohedron.png Octagonal trapezohedron.png Decagonal trapezohedron.png
As spherical polyhedra
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

External links