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Quasi-normal developable surfaces and their singularities in Euclidean 3-Space

Research Abstract

The developable surface (DS) is a curved surface that can be spread out on a plane without stretching or tearing, which is
widely operated in much fields of engineering and industrialization. This research displays a new approach of producing developable
surfaces in E3(Euclidean 3-space). At first, we start a modified frame over a curve, named as the quasi-frame. We then initiate an
exemplification of a DS and call it a quasi-normal DS. At the essence of this work, we examine the existence and uniqueness of such
DS, then consider its categorizations via singularity theory and unfolding theory (UT). Finally, two paradigms related to our approach
are presented for the purpose of clarity.

Research Authors
Rashad A. Abdel-Baky
Research Date
Research Department
Research File
paper 2.pdf (455.98 KB)
Research Journal
Appl. Math. Inf. Sci.
Research Year
2025