Problem #PRU-32124

Problems Geometry Methods Solid geometry Pigeonhole principle (finite number of poits, lines etc.) Tetrahedron and pyramid Particular cases of tetrahedra Regular tetrahedron Pigeonhole principle

Problem

A scone contains raisins and sultanas. Prove that inside the scone there will always be two points 1cm apart such that either both lie inside raisins, both inside sultanas, or both lie outside of either raisins or sultanas.