Some Polyomino Tilings of the Plane

dc.creatorMoore, Cristopher
dc.date1999-05-03
dc.date.accessioned2026-07-07T05:28:56Z
dc.date.available2026-07-07T05:28:56Z
dc.descriptionWe calculate the generating functions for the number of tilings of rectangles of various widths by the right tromino, the $L$ tetromino, and the $T$ tetromino. This allows us to place lower bounds on the entropy of tilings of the plane by each of these. For the $T$ tetromino, we also derive a lower bound from the solution of the Ising model in two dimensions.
dc.identifierhttps://arxiv.org/abs/math/9905012
dc.identifierhttp://arxiv.org/abs/math/9905012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78449
dc.subjectCombinatorics
dc.titleSome Polyomino Tilings of the Plane
dc.typetext

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