Unilateral and equitransitive tilings by squares of four sizes

Casey Mann, Joseph DiNatale, Emily Peirce, Ellen Vitercik

Abstract


D. Schattschneider proved that there are exactly eight unilateral and equitransitive tilings of the plane by squares of three distinct sizes. This article extends Schattschneider’s methods to determine a classification of all such tilings by squares of four different sizes. It is determined that there are exactly 39 unilateral and equitransitive tilings by squares of four different sizes.

Keywords


Tilings, equitransitive, unilateral, squares.

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DOI: https://doi.org/10.26493/1855-3974.644.d7c

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications