Difference between revisions of "Template:D7 honeycombs"
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This honeycomb is one of [[Uniform 8-polytope#Regular and uniform honeycombs|77 uniform honycombs]] constructed by the <math>{\tilde{D}}_7</math> [[Coxeter group]], all but 10 repeated in other families by extended symmetry, seen in the graph symmetry of rings in the [[Coxeter–Dynkin diagram]]s. The 77 permutations are listed with its highest extended symmetry, and related <math>{\tilde{B}}_7</math> and <math>{\tilde{C}}_7</math> constructions: | This honeycomb is one of [[Uniform 8-polytope#Regular and uniform honeycombs|77 uniform honycombs]] constructed by the <math>{\tilde{D}}_7</math> [[Coxeter group]], all but 10 repeated in other families by extended symmetry, seen in the graph symmetry of rings in the [[Coxeter–Dynkin diagram]]s. The 77 permutations are listed with its highest extended symmetry, and related <math>{\tilde{B}}_7</math> and <math>{\tilde{C}}_7</math> constructions: | ||
| − | { | + | {| class="wikitable collapsible collapsed" |
| + | |+ D7 honeycombs | ||
| + | | | ||
{| class=wikitable | {| class=wikitable | ||
![[Coxeter notation#Extended_symmetry|Extended<BR>symmetry]] | ![[Coxeter notation#Extended_symmetry|Extended<BR>symmetry]] | ||
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! ×8 | ! ×8 | ||
| ... | | ... | ||
| − | |} | + | |} |
| + | |}<noinclude> | ||
==References== | ==References== | ||
Revision as of 19:55, 19 February 2016
This honeycomb is one of 77 uniform honycombs constructed by the <math>{\tilde{D}}_7</math> Coxeter group, all but 10 repeated in other families by extended symmetry, seen in the graph symmetry of rings in the Coxeter–Dynkin diagrams. The 77 permutations are listed with its highest extended symmetry, and related <math>{\tilde{B}}_7</math> and <math>{\tilde{C}}_7</math> constructions:
