Omnitruncation
In geometry, an omnitruncation is an operation applied to a regular polytope in a Wythoff construction that creates a maximum number of facets. It is represented in a Coxeter–Dynkin diagram with all nodes ringed.
It is a shortcut term which has a different meaning in progressively-higher-dimensional polytopes:
- Uniform polytope#Truncation operators
- * For regular polygons: An ordinary truncation, t0,1 = t =.
- ** Coxeter-Dynkin diagram
- * For uniform polyhedra : A cantitruncation, t0,1,2 = tr.
- ** Coxeter-Dynkin diagram:
- * For Uniform 4-polytopes: A runcicantitruncation, t0,1,2,3.
- ** Coxeter-Dynkin diagram:,,
- * For uniform polytera : A steriruncicantitruncation, t0,1,2,3,4.
- ** Coxeter-Dynkin diagram:,,
- * For uniform n-polytopes: t0,1,...,n-1.
