Triangular prismatic honeycomb
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| Triangular prismatic honeycomb | |
|---|---|
 | |
| Type | Uniform honeycomb |
| Schläfli symbol | t0{3,6} x {∞} |
| Coxeter-Dynkin diagrams |           |
| Coxeter groups | [6,3,2,∞] [3[3],2,∞] [(3[3])+,2,∞] |
| Dual | Hexagonal prismatic honeycomb |
| Properties | vertex-transitive |
The triangular prismatic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed entirely of triangular prisms.
It is constructed from a triangular tiling extruded into prisms.
It is one of 28 convex uniform honeycombs.
See also
References
- George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)
- Branko Grünbaum, Uniform tilings of 3-space. Geombinatorics 4(1994), 49 - 56.
- Norman Johnson Uniform Polytopes, Manuscript (1991)
- Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6
- (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
- A. Andreini, Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative (On the regular and semiregular nets of polyhedra and on the corresponding correlative nets), Mem. Società Italiana della Scienze, Ser.3, 14 (1905) 75–129.
- Richard Klitzing, 3D Euclidean Honeycombs, tiph
- Uniform Honeycombs in 3-Space: 18-Tiph
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