Tiling polygons with parallelograms

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Abstract

Under what conditions can a simple polygon be tiled by parallelograms? In this paper we give matching necessary and sufficient conditions on the polygon to be tilable and characterize the set of possible tilings. We also provide an efficient algorithm for constructing a tiling. © 1992 Springer-Verlag New York Inc.

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Kannan, S., & Soroker, D. (1992). Tiling polygons with parallelograms. Discrete & Computational Geometry, 7(1), 175–188. https://doi.org/10.1007/BF02187834

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