![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/0/0a/TrigonalTrapezohedron.svg/640px-TrigonalTrapezohedron.svg.png&w=640&q=50)
Trigonal trapezohedron
Polyhedron with 6 congruent rhombus faces / From Wikipedia, the free encyclopedia
In geometry, a trigonal trapezohedron is a polyhedron with six congruent quadrilateral faces, which may be scalene or rhomboid.[1][2] The variety with rhombus-shaped faces faces is a rhombohedron.[3][4] An alternative name for the same shape is the trigonal deltohedron.[5]
Trigonal trapezohedron | |
---|---|
![]() | |
Type | trapezohedron |
Conway notation | dA3 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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, [2,3]+, (223), order 6 |
Dual polyhedron | trigonal antiprism |
Properties | convex, equilateral polygon, face-transitive, zonohedron, parallelohedron |