Abstract
We describe computer algorithms that can enumerate and display, for a given n > 0 (in theory, of any size), all n-ominoes, n-iamonds, and n-hexes that can tile the plane using only rotations; these sets necessarily contain all such tiles that are fundamental domains for p4, p3, and p6 isohedral tilings. We display the outputs for small values of n. This expands on earlier work [3].
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Fukuda, H., Mutoh, N., Nakamura, G., Schattschneider, D. (2008). Enumeration of Polyominoes, Polyiamonds and Polyhexes for Isohedral Tilings with Rotational Symmetry. In: Ito, H., Kano, M., Katoh, N., Uno, Y. (eds) Computational Geometry and Graph Theory. KyotoCGGT 2007. Lecture Notes in Computer Science, vol 4535. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89550-3_7
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DOI: https://doi.org/10.1007/978-3-540-89550-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89549-7
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