论文标题

曲线翻译的布置

Arrangements of translates of a curve

论文作者

Solymosi, Jozsef, Szabó, Endre

论文摘要

我们表明,有五种类型的平面曲线,因此其翻译的布置在组合上等同于线条排列。这些曲线可用于定义规范,从而在平面中的点之间具有许多单位距离。

We show that there are five types of planar curves such that arrangements of its translates are combinatorially equivalent to an arrangement of lines. These curves can be used to define norms giving constructions with many unit distances among points in the plane.

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