In geometry, a peak is an (n-3)-dimensional element of an n-dimensional polytope. By dimension, this corresponds to:
- a vertex of a polyhedron;
- an edge of a polychoron (4-polytope);
- a face of a 5-polytope;
- and so forth.
At least three facets (and, accordingly, at least three ridges) must meet at any peak in a convex polytope. A regular polytope with Schläfli symbol {p1,p2,p3,...,pn-2,pn-1} have a sequence of pn-1 {p1,p2,p3,...,pn-2} facets around every peak.
External links
- Olshevsky, George, Peak at Glossary for Hyperspace.
