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词汇 C curve
分类 英语词汇 英语翻译词典
释义

C curve

中文百科

莱维C形曲线 Lévy C curve

(重定向自C curve)
点撃这里即可观看莱维C形曲线的生成过程
三维版本

莱维C形曲线(Lévy C curve)是个自我相似的分形,最先由保罗·皮埃尔·莱维在1938年的论文Plane or Space Curves and Surfaces Consisting of Parts Similar to the Whole描述和观察。

C形曲线的豪斯多夫维数是2,边界的维数则是1.934007183。

英语百科

Lévy C curve 莱维C形曲线

(重定向自C curve)
First eight stages in the construction of a Lévy C curve
Lévy C curve (from a L-system, after the first 12 stages)
Lévy C curve (from IFS, infinite levels)

In mathematics, the Lévy C curve is a self-similar fractal that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and Georg Faber in 1910, but now bears the name of French mathematician Paul Lévy, who was the first to describe its self-similarity properties, as well as to provide a geometrical construction showing it as a representative curve in the same class as the Koch curve. It is a special case of a period-doubling curve, a de Rham curve.

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