论文标题

多个安排

Multiple arrangements

论文作者

Tóth, Gábor Fejes

论文摘要

本文调查了多个包装和覆盖物的理论。对多种安排的研究始于上个世纪60年代,它主要仅限于飞机上的晶格安排或球的一般布置。我们强调了最近对最近进行了深入研究的两个新主题:将多个覆盖物分解为简单的覆盖物和多个瓷砖的表征。

This paper surveys the theory of multiple packings and coverings. The study of multiple arrangements started in the 60s of the last century, and it was restricted mostly to lattice arrangements on the plane or of general arrangements of balls. We emphasize two new topics which were intensively investigated recently: decomposition of multiple coverings into simple coverings and characterization of multiple tilings.

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