@article{Hochberg2015TheGN,
title={The gap number of the T-tetromino},
author={R. Hochberg},
journal={Discret. Math.},
year={2015},
volume={338},
pages={130-138}
}

Abstract A famous result of D. Walkup (1965) states that the only rectangles that may be tiled by the T -Tetromino are those in which both sides are a multiple of four. In this paper we examine the rest of the rectangles, asking how many T -tetrominos may be placed into those rectangles without overlap, or, equivalently, what is the least number of gaps that need to be present. We introduce a new technique for exploring such tilings, enabling us to answer this question for all rectangles, up to… CONTINUE READING