max no of equidistant planes from 5 points, without 4 of 5 coplanar
Source: Mexican Mathematical Olympiad 1998 OMM P6
July 28, 2018
combinatorial geometrydistance3-Dimensional Geometrygeometry
Problem Statement
A plane in space is equidistant from a set of points if its distances from the points in the set are equal. What is the largest possible number of equidistant planes from five points, no four of which are coplanar?