Résumé : A 3-dimensional polytope (the convex hull of finitely many points) is said to be k-equiprojective if almost every planar projections is a k-gon where k is a fixed integer. Two characterisations were established respectively in 2008 by Masud Hasan and Anna Lubiw and in 2024 by Théophile Buffière and Lionel Pournin in the 3-dimensional case. I will present you a way to generalise the definition of equiprojectivity to d-dimensional polytopes, as well as the tools I built in order to generalise the two different characterisations.

Dernière modification : Tuesday 02 December 2025

Contact pour cette page : Cyril.Banderier at lipn.univ-paris13.fr