从几何到代数的坐标变换，应用于砖砌
A change-of-coordinates from Geometry to Algebra, applied to Brick Tilings
摘要：
一个证明是作者的多项式猜想（作为预印本“砖瓷砖和单调布尔函数”，可在http://www.math.ufl.edu/~squash/tilingstuff.html网址），其中说，家庭的最小tilable-boxes增长多项式的尺寸。论证的一个重要组成部分是将问题从有限维的几何框架转化为无限维格的代数设置。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
