simplex

Simplexes (geometry).

Meanings

An analogue in a space of arbitrary dimensionality of the triangle or tetrahedron; the convex hull of n+1 linearly independent points in n-dimensional space.
A simple word, one without affixes.

From Latin simplex ("simple").
In the mathematical sense, apparently first used (in German) in 1902, Pieter Hendrik Schoute, Mehrdimensionale Geometrie, where Schoute first suggests the term Simplicissimum, but then from the next page decides to use simplex "for short". In his pioneering works on algebraic topology, Henri Poincaré had previously introduced the concept, but not the actual term simplex.

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