there is a sphere passing through all points of set A
Source: Polish MO Recond Round 1982 p4
September 9, 2024
geometry3D geometrysphere
Problem Statement
Let be a finite set of points in space having the property that for any of its points there is an isometry of space that transforms the set into the set and the point into the point . Prove that there is a sphere passing through all points of the set .