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In geometry, a Coxeter-- Dynkin diagram (or Coxeter plans, Coxeter data) is a data with numerically designated edges (called branches) representing the spatial relations in between an assortment of mirrors (or reflecting hyperplanes).

 

It details a kaleidoscopic building: each chart "node" represents a mirror (domain element) as well as the tag connected to a branch encodes the dihedral position order in between two mirrors (on a domain ridge). An unlabeled branch implicitly represents order-3. Dynkin plans are very closely related items, which differ from Coxeter diagrams in 2 aspects: firstly, branches designated "4" or greater are targeted, while Coxeter plans are undirected; second of all, Dynkin plans ought to indulge an extra (crystallographic) constraint, which is that the only allowed branch labels are 2, 3, 4, and also 6.

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