MathDB

4.2

Part of MathLinks Contest 5th

Problems(1)

0542 combo geo 5th edition Round 4 p2

Source:

5/6/2021
Given is a unit cube in space. Find the maximal integer nn such that there are nn points, satisfying the following conditions: (a) All points lie on the surface of the cube; (b) No face contains all these points; (c) The nn points are the vertices of a polygon.
combinatorics5th edition