Skip to main content

Singularities of swept surfaces in Euclidean 3-space

Research Abstract

This study examines the local singularities of tube surfaces, especially those of swept
surfaces (S S ) in Euclidean 3-space E3. S S is created by moving a planar curve through space such that
the trajectory of any point on the surface remains perpendicular to the plane. The Type-2 Bishop frame
is considered, and the singularities of these S S are analyzed. Examples are o ered and illustrated.

Research Authors
Rashad A. Abdel-Baky
Research Date
Research Department
Research Journal
AIMS Mathematics
Research Pages
26049–26064
Research Publisher
AIMS Mathematics
Research Rank
Q1
Research Vol
Vol. 9 , No. 9
Research Website
http://www.aimspress.com/journal/Math
Research Year
2024