Template:D5 honeycombs

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This honeycomb is one of 20 uniform honeycombs constructed by the <math>{\tilde{D}}_5</math> Coxeter group, all but 3 repeated in other families by extended symmetry, seen in the graph symmetry of rings in the Coxeter–Dynkin diagrams. The 20 permutations are listed with its highest extended symmetry relation:

References