Difference between revisions of "Template:Cubic cell tessellations"
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imported>Parcly Taxel m (→top: O7T SVG) |
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|[[File:Uniform tiling 63-t2.svg|60px]]<BR>[[triangular tiling|{3,6}]]<BR>{{CDD|node_1|3|node|6|node}}<BR>{{CDD|node_1|split1|branch}} | |[[File:Uniform tiling 63-t2.svg|60px]]<BR>[[triangular tiling|{3,6}]]<BR>{{CDD|node_1|3|node|6|node}}<BR>{{CDD|node_1|split1|branch}} | ||
|[[File:Order-7 triangular tiling.svg|61px]]<BR>[[Order-7 triangular tiling|{3,7}]]<BR>{{CDD|node_1|3|node|7|node}} | |[[File:Order-7 triangular tiling.svg|61px]]<BR>[[Order-7 triangular tiling|{3,7}]]<BR>{{CDD|node_1|3|node|7|node}} | ||
| − | |[[File: | + | |[[File:H2-8-3-primal.svg|60px]]<BR>[[Order-8 triangular tiling|{3,8}]]<BR>{{CDD|node_1|3|node|8|node}}<BR>{{CDD|node_1|split1|branch|label4}} |
|[[File:H2_tiling_23i-4.png|60px]]<BR>[[Infinite-order triangular tiling|{3,∞}]]<BR>{{CDD|node_1|3|node|infin|node}}<BR>{{CDD|node_1|split1|branch|labelinfin}} | |[[File:H2_tiling_23i-4.png|60px]]<BR>[[Infinite-order triangular tiling|{3,∞}]]<BR>{{CDD|node_1|3|node|infin|node}}<BR>{{CDD|node_1|split1|branch|labelinfin}} | ||
|}<noinclude> | |}<noinclude> | ||
Latest revision as of 03:59, 21 February 2020
In geometry, there are a sequence of regular polytopes and honeycombs, {4,3,p}, with cubic cells. The first is the finite tesseract in 4-dimensional space. The second is the cubic honeycomb that tessellates Euclidean 3-space. The next two tessellate hyperbolic 3-space.
References
- Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296)
- The Beauty of Geometry: Twelve Essays (1999), Dover Publications, LCCN Expression error: Unrecognized punctuation character "[". 99-Expression error: Unrecognized punctuation character "[".Template:Only in print, ISBN 0-486-40919-8 (Chapter 10, Regular Honeycombs in Hyperbolic Space) Table III
- N. W. Johnson, R. Kellerhals, J. G. Ratcliffe, S. T. Tschantz, Commensurability classes of hyperbolic Coxeter groups, (2002) H3: p130. [1]