Definition:Simplex
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Definition
A simplex is an $n$-dimensional generalization of a triangle and tetrahedron, for $n \in \Z_{>0}$.
A $k$-simplex is a $k$-dimensional polytope which is the convex hull of its $k + 1$ vertices.
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Also see
Linguistic Note
The plural of simplex is simplices, pronounced sim-pli-seez.
Compare the plural forms of vertex: vertices and index: indices.
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5$
- Weisstein, Eric W. "Simplex." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Simplex.html