set of points in space is allowed to mirror a point from the set , image inside
Source: 1996 German Federal - Bundeswettbewerb Mathematik - BWM - Round 2 p1
January 27, 2020
combinatorial geometrygeometrycombinatoricscube
Problem Statement
For a given set of points in space it is allowed to mirror a point from the set with respect to another point from the set, and to include the image in the set. Starting with a set of seven vertices of a cube, is it possible to include the eight vertex in the set after finitely many such steps?