Dodecahedron's Planes cuts Space in Regions
Source: Bundeswettbewerb Mathematik 2016, Round 2 - #4
September 7, 2016
geometry3D geometrydodecahedroncombinatoricscombinatorial geometry
Problem Statement
Each side face of a dodecahedron lies in a uniquely determined plane. Those planes cut the space in a finite number of disjoint regions. Find the number of such regions.