Egor Bakaev

works on

convex bodies 1 geometric inequalities 1 planar convex geometry 1 plank covering 1 volume maximization 1

From the 1 of 6 linked papers with an AI index.

collaborators

Showing math.MGShow all

4 papers · 1 filter

math.MG2026

Optimal partial plank coverings

Egor Bakaev, Alexander Polyanskii

The paper investigates how to place planks of a fixed total width to cover the largest possible volume of a convex body, proving that for a Euclidean ball and for any planar convex…

math.MG2026

A simplex-based measure of symmetry

Egor Bakaev, Amir Yehudayoff

For compact convex sets $L, K \subset R^{n}$ , denote by $I^»_{K} (L)$ the smallest size of a homothet of $K$ that contains $L$ . We define a measure of symmetry based on the $n$ -s…

math.MG2026

A note on the affine plank conjecture

Egor Bakaev, Amir Yehudayoff

In 1951, Bang posed the affine plank conjecture, which remains open: If a convex body in $R^{d}$ is covered by planks, then the total relative width of the planks is at leas…

math.MG2025

Approximation Depth of Convex Polytopes

Egor Bakaev, Florestan Brunck, Amir Yehudayoff

We study approximations of polytopes in the standard model for computing polytopes using Minkowski sums and (convex hulls of) unions. Specifically, we study the ability to approxim…