Trigonal trapezohedral honeycomb
| Trigonal trapezohedral honeycomb | |
|---|---|
| (No image) | |
| Type | Dual uniform honeycomb |
| Coxeter-Dynkin diagrams |    
|
| Cell |  Trigonal trapezohedron |
| Faces | Rhombus |
| Space group | Fd3m (227) |
| Coxeter group | ×2, [[3[4]]] (double) |
| vertex figures |   | 
|
| Dual | Quarter cubic honeycomb |
| Properties | Cell-transitive, Face-transitive |
The trigonal trapezohedral honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. John Horton Conway calls it an oblate cubille.
Related honeycombs
It is dual to the quarter cubic honeycomb with tetrahedral and truncated tetrahedral cells:
See also
References
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, (2008) The Symmetries of Things, ISBN 978-1-56881-220-5 (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, Architectonic and Catoptric tessellations, p 292-298, includes all the nonprismatic forms)
- Branko Grünbaum, Uniform tilings of 3-space. Geombinatorics 4(1994), 49 - 56.
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