Triangular-hexagonal prismatic honeycomb
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Triangular-hexagonal prismatic honeycomb | |
---|---|
Type | Uniform honeycomb |
Schläfli symbol | t1{6,3}x{∞} |
Vertex figure | Rectangular bipyramid |
Coxeter-Dynkin diagram | |
Coxeter group | [6,3,2,∞] |
Dual | Rhombille prismatic honeycomb |
Properties | vertex-transitive |
The triangular-hexagonal prismatic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of hexagonal prisms and triangular prisms in a ratio of 1:2.
It is constructed from a trihexagonal tiling extruded into prisms.
It is one of 28 convex uniform honeycombs.
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, thiph
- Uniform Honeycombs in 3-Space: 17-Thiph
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