Cut nine pentominoes out of a square
Source: 42nd International Tournament of Towns, Junior A-Level P4, Fall 2020
February 18, 2023
combinatorial geometrySouthern Tournamentcombinatorics
Problem Statement
The pentomino consists of five squares where four squares are all adjacent to the fifth one. Is it possible to cut nine such pentominoes from an chessboard, not necessarily cutting along grid lines? (The picture shows how to cut three such pentominoes.)Alexandr Gribalko