Antoine Deza

collaborators

Showing math.MGShow all

2 papers · 1 filter

math.MG2026

Flat simplices and kissing polytopes

Antoine Deza, Lionel Pournin

We consider how flat a lattice simplex contained in the hypercube $[0, k]^{d}$ can be. This question is related to the notion of kissing polytopes: two lattice polytopes contained in…

math.MG2025

Kissing polytopes in dimension 3

Antoine Deza, Zhongyuan Liu, Lionel Pournin

It is shown that the smallest possible distance between two disjoint lattice polytopes contained in the cube $[0, k]^{3}$ is exactly $\frac{1}{2 ( 2 k ^{2} - 4 k + 5 ) ( 2 k ^{2} - 2 k + 1 )}$ for…