MMO 040 Moscow MO 1938 max no of parts n planes divide space
Source:
July 18, 2019
combinatoricscombinatorial geometrygeometry3D geometryplanes
Problem Statement
What is the largest number of parts into which planes can divide space?We assume that the set of planes is non-degenerate in the sense that any three planes intersect in one point and no four planes have a common point (and for n=2 it is necessary to require that the planes are not parallel).