Peak (mathematics)
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Peak (geometry)
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.
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