English

Tiling rectangles with holey polyominoes

Computational Geometry 2015-10-29 v2

Abstract

We present a new type of polyominoes that can have transparent squares (holes). We show how these polyominoes can tile rectangles and we categorise them according to their tiling ability. We were able to categorise all but 6 polyominoes with 5 or fewer visible squares.

Cite

@article{arxiv.1411.2699,
  title  = {Tiling rectangles with holey polyominoes},
  author = {Dmitry Kamenetsky and Tristrom Cooke},
  journal= {arXiv preprint arXiv:1411.2699},
  year   = {2015}
}

Comments

24 pages. Updated references and added Tom Sirgedas' proof

R2 v1 2026-06-22T06:54:18.381Z