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Bibliographic Details
Main Authors: Kagey, Peter, Keehn, William
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2311.13072
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Table of Contents:
  • We count tilings of the $n \times m$ rectangular grid, cylinder, and torus with arbitrary tile sets up to arbitrary symmetries of the square and rectangle, along with cyclic shifting of rows and columns. This provides a unifying framework for understanding a family of counting problems, expanding on the work by Ethier and Lee counting tilings of the torus by tiles of two colors.