论文标题

同时瓷砖

Simultaneous tiling

论文作者

Kolountzakis, Mihail N.

论文摘要

我们讨论同时瓷砖的问题。这意味着我们有一个对象(集合,函数),该对象具有两个或更多不同的翻译集空间。这种类型的最著名的问题是斯坦豪斯问题,它要求一组用整数晶格的所有旋转作为翻译集,同时铺设飞机。

We discuss problems of simultaneous tiling. This means that we have an object (set, function) which tiles space with two or more different sets of translations. The most famous problem of this type is the Steinhaus problem which asks for a set simultaneously tiling the plane with all rotates of the integer lattice as translation sets.

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