MathDB
21 parts of 8x11 rectangle

Source: Switzerland - 2008 Swiss MO Final Round p7

December 26, 2022
tilesTilingcombinatoricsgeometryrectangle

Problem Statement

An 8×118 \times 11 rectangle of unit squares somehow becomes disassembled into 2121 contiguous parts . Prove that at least two of these parts, except for rotations and reflections have the same shape.