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Additional
simplex
English Wikipedia - The Free Encyclopedia
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Simplex
In
geometry
, a
simplex
(plural:
simplexes
or
simplices
) is a generalization of the notion of a
triangle
or
tetrahedron
to arbitrary
dimensions
. Specifically, a
k
-simplex
is a
k
-dimensional
polytope
which is the
convex hull
of its
k
+ 1
vertices
. More formally, suppose the
k
+ 1 points are
affinely independent
, which means are
linearly independent
. Then, the simplex determined by them is the set of points
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