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Article | REF: AF219 V1

Convex Geometry I. Definitions, Properties and Fundamental Theorems

Author: Jean-Charles PINOLI

Publication date: November 10, 2020

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12. Convex and simplex polytopes from ...

Above: Convex and simplex polytopes of ℝ2n

Polygons (dimension 2) and polyhedra (dimension 3) have been known since ancient times (Sumerians, Babylonians, Egyptians, Greeks (Democritus, Eudoxus of Cnidus, Theaetetus, Euclid...)) (p. 243 of ). In 1852, L. Schläfli was the first to consider analogues of polygons and polyhedra in dimensions greater than 3 (p. 7 of

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