Some Polyomino Tilings of the Plane
Combinatorics
2007-05-23 v1
Abstract
We calculate the generating functions for the number of tilings of rectangles of various widths by the right tromino, the tetromino, and the tetromino. This allows us to place lower bounds on the entropy of tilings of the plane by each of these. For the tetromino, we also derive a lower bound from the solution of the Ising model in two dimensions.
Keywords
Cite
@article{arxiv.math/9905012,
title = {Some Polyomino Tilings of the Plane},
author = {Cristopher Moore},
journal= {arXiv preprint arXiv:math/9905012},
year = {2007}
}