MathDB
integer squares tiled by L- shapes

Source: 2022 Swedish Mathematical Competition p1

March 24, 2024
combinatoricsTilingtilescombinatorial geometry

Problem Statement

What sizes of squares with integer sides can be completely covered without overlap by identical tiles consisting of three squares with side 11 joined together in one LL shape? https://cdn.artofproblemsolving.com/attachments/3/f/9fe95b05527857f7e44dfd033e6fb01e5d25a2.png