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A change-of-coordinates from Geometry to Algebra, applied to Brick Tilings

Jonathan L. King
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Abstract

A proof is sketched of the Polynomial Conjecture of the author (circulated as preprint "Brick Tiling and Monotone Boolean Functions", available at the http://www.math.ufl.edu/~squash/tilingstuff.html url) which says that the family of minimal tilable-boxes grows polynomially with dimension. An important ingredient of the argument is translating the problem from its finite-dimensional geometric framework to the algebraic setting of an infinite-dimensional lattice.

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Jonathan L. King. 1998-09-29. A change-of-coordinates from Geometry to Algebra, applied to Brick Tilings. https://arxiv.org/abs/math/9809176

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