Template:D6 honeycombs

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This honeycomb is one of 41 uniform honeycombs constructed by the <math>{\tilde{D}}_6</math> Coxeter group, all but 6 repeated in other families by extended symmetry, seen in the graph symmetry of rings in the Coxeter–Dynkin diagrams. The 41 permutations are listed with its highest extended symmetry, and related <math>{\tilde{B}}_6</math> and <math>{\tilde{C}}_6</math> constructions:

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