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arXiv · 1504.07883

An Optimal Algorithm for Tiling the Plane with a Translated Polyomino

Andrew Winslow
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Abstract

We give a $O(n)$-time algorithm for determining whether translations of a polyomino with $n$ edges can tile the plane. The algorithm is also a $O(n)$-time algorithm for enumerating all such tilings that are also regular, and we prove that at most $\Theta(n)$ such tilings exist.

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Andrew Winslow. 2015-04-29. An Optimal Algorithm for Tiling the Plane with a Translated Polyomino. https://arxiv.org/abs/1504.07883

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