Canal surfaces generated by special curves and quaternions

被引：1

作者：

Caliskan, Abdussamet ^{[1
]}

机构：

[1] Ordu Univ, Fatsa Vocat Sch, Accounting & Tax Applicat, Ordu, Turkiye

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 04期

关键词：

Canal Surface; Tubular surface; Bertrand curve; Involute-Evolute curve; Mannheim Curve; Quaternion; Rotation matrices; Homothetic motion; MANNHEIM PARTNER CURVES;

D O I：

10.1007/s13370-023-01138-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that canal and tubular surfaces can be obtained by special curves. Also, we give the equations of the canal and tubular surfaces given by the different frames. Besides, these surfaces are obtained by quaternion and homothetic motion.

引用

页数：11

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