Problem A. 793. (February 2021)

A. 793. In the 43 dimension Euclidean space the convex hull of finite set \(\displaystyle S\) contains polyhedron \(\displaystyle P\). We know that \(\displaystyle P\) has 47 vertices. Prove that it is possible to choose at most 2021 points in \(\displaystyle S\) such that the convex hull of these points also contain \(\displaystyle P\), and this is sharp.

Submitted by Dömötör Pálvölgyi, Budapest

(7 pont)

Deadline expired on March 10, 2021.

Statistics:

4 students sent a solution.
6 points:	Fleiner Zsigmond.
5 points:	1 student.
2 points:	1 student.
0 point:	1 student.

Problems in Mathematics of KöMaL, February 2021