Quasiregular Polyhedra - Wythoff Construction

Wythoff Construction

Coxeter defines a quasiregular polyhedron as one having a Wythoff symbol in the form p | q r, and it is regular if q=2 or q=r.

The Coxeter-Dynkin diagram is another symbolic representation that shows the quasiregular relation between the two dual-regular forms:

Schläfli symbol Coxeter-Dynkin diagram Wythoff symbol
q | 2 p
p | 2 q
2 | p q

Read more about this topic:  Quasiregular Polyhedra

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