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

摘要

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