MathDB
a rectangle is formed of 3 × 7 by 21 bw pieces, vertices of rectangle

Source: 2012 Cuba MO 1.4

September 18, 2024
geometrycombinatorial geometrycombinatoricsColoringrectangle

Problem Statement

With 2121 pieces, some white and some black, a rectangle is formed of 3×73 \times 7. Prove that there are always four pieces of the same color located at the vertices of a rectangle.