Difference between revisions of "Template:A6 honeycombs"
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This honeycomb is one of [[Uniform_7-polytope#Regular_and_uniform_honeycombs|17 unique uniform honeycombs]]<ref>* {{mathworld | urlname = Necklace | title = Necklace}}, [http://oeis.org/A000029 A000029] 18-1 cases, skipping one with zero marks</ref> constructed by | This honeycomb is one of [[Uniform_7-polytope#Regular_and_uniform_honeycombs|17 unique uniform honeycombs]]<ref>* {{mathworld | urlname = Necklace | title = Necklace}}, [http://oeis.org/A000029 A000029] 18-1 cases, skipping one with zero marks</ref> constructed by | ||
the <math>{\tilde{A}}_6</math> [[Coxeter group]], grouped by their extended symmetry of the [[Coxeter–Dynkin diagram]]s: | the <math>{\tilde{A}}_6</math> [[Coxeter group]], grouped by their extended symmetry of the [[Coxeter–Dynkin diagram]]s: | ||
| − | { | + | {| class="wikitable collapsible collapsed" |
| + | !colspan=4| A6 honeycombs | ||
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{| class=wikitable | {| class=wikitable | ||
![[:File:Symmetries of heptagon.png|Heptagon<BR>symmetry]] | ![[:File:Symmetries of heptagon.png|Heptagon<BR>symmetry]] | ||
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{{CDD|node_1|split1|nodes_11|3ab|nodes_11|3ab|branch_11}}<sub>[[Omnitruncated 6-simplex honeycomb|3]]</sub> | {{CDD|node_1|split1|nodes_11|3ab|nodes_11|3ab|branch_11}}<sub>[[Omnitruncated 6-simplex honeycomb|3]]</sub> | ||
| − | |} | + | |} |
| + | |}<noinclude> | ||
==References== | ==References== | ||
Revision as of 20:01, 19 February 2016
This honeycomb is one of 17 unique uniform honeycombs[1] constructed by the <math>{\tilde{A}}_6</math> Coxeter group, grouped by their extended symmetry of the Coxeter–Dynkin diagrams:
References
- ↑ * Weisstein, Eric W. "Necklace". MathWorld., A000029 18-1 cases, skipping one with zero marks
