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T and L tetraminos in a n x n chessboard

Source: Norwegian Mathematical Olympiad 1998 - Abel Competition p2

February 11, 2020
combinatoricsChessboardtetraminos

Problem Statement

Let be given an n×nn \times n chessboard, nNn \in N. We wish to tile it using particular tetraminos which can be rotated. For which nn is this possible if we use (a) TT-tetraminos (b) both kinds of LL-tetraminos?