0542 combo geo 5th edition Round 4 p2
Source:
May 6, 2021
combinatorics5th edition
Problem Statement
Given is a unit cube in space. Find the maximal integer such that there are points, satisfying the following conditions:
(a) All points lie on the surface of the cube;
(b) No face contains all these points;
(c) The points are the vertices of a polygon.