论文标题

空间曲线的差分几何形状:被遗忘的章节

Differential geometry of space curves: Forgotten chapters

论文作者

Fuchs, Dmitry, Izmestiev, Ivan, Raffaelli, Matteo, Szewieczek, Gudrun, Tabachnikov, Serge

论文摘要

我们研究太空曲线的进化和差异。尽管所呈现的许多材料并不是什么新鲜事物,并且可以在经典论文中找到,但我们认为,现代和统一的待遇辅以几种新颖的观察结果可能很有用。借助计算机图形学说明了结果,该工具是经典几何图形不可用的工具。

We study evolutes and involutes of space curves. Although much of the material presented is not new and can be found in classic treatises, we believe that a modern and unified treatment, complemented with several novel observations, may be useful. The results are illustrated with the help of computer graphics, a tool that was not not available to the classical geometers.

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