一种由平面曲线构造的新型螺旋

Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.939

Jinwon Choi

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引用次数: 0

摘要

．本文给出了在欧几里得三维空间e3中由d阶pdp -螺旋平面曲线构造空间曲线的一种算法。pdp -螺旋的概念是对e3中一般螺旋和斜螺旋的推广。可以很自然地看出，1阶和2阶的pdp -螺旋分别与普通螺旋和斜螺旋相同。给出了d阶pdp -螺旋的一个表征。此外，我们还研究了3阶矩阵的一些几何性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A New Type of Helix Constructed by Plane Curves

. In this paper, we give an algorithm to construct a space curve in Euclidean 3-space E 3 from a plane curve which is called PDP-helix of order d . The notion of the PDP-helices is a generalization of a general helix and a slant helix in E 3 . It is naturally shown that the PDP-helix of order 1 and order 2 are the same as the general helix and the slant helix, respectively. We give a characterization of the PDP-helix of order d . Moreover, we study some geometric properties of that of order 3.

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