Trigonal trapezohedral honeycomb
Space-filling tessellation / From Wikipedia, the free encyclopedia
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In geometry, the trigonal trapezohedral honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. Cells are identical trigonal trapezohedra or rhombohedra. Conway, Burgiel, and Goodman-Strauss call it an oblate cubille.[1]
Trigonal trapezohedral honeycomb | |
---|---|
Type | Dual uniform honeycomb |
Coxeter-Dynkin diagrams | |
Cell | Trigonal trapezohedron (1/4 of rhombic dodecahedron) |
Faces | Rhombus |
Space group | Fd3m (227) |
Coxeter group | ×2, 3[4] (double) |
vertex figures | | |
Dual | Quarter cubic honeycomb |
Properties | Cell-transitive, Face-transitive |