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

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.