Evolution of spherical images and Smarandache curves of a space curve in Euclidean 3-space

Nassar H. Abdel-All, R. A. Hussien, Taha Youssef

Abstract


We study the evolution of a regular space curves, spherical images and Smarandache curves. We derive dynamical equation of moving frame along the evolving curve and its curvatures, consequently we get the evolution equation for spherical images and Smarandache curves. Finally we shall display visualization of the evolving curve, spherical images and Smarandache curves.

https://doi.org/10.28919/jmcs/3460


Full Text: PDF

How to Cite this Article:

Nassar H. Abdel-All, R. A. Hussien, Taha Youssef, Evolution of spherical images and Smarandache curves of a space curve in Euclidean 3-space, Journal of Mathematical and Computational Science, Vol 7, No 6 (2017), 986-994

Copyright © 2017 Nassar H. Abdel-All, R. A. Hussien, Taha Youssef. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2017 JMCS