Some New Results of Revolution Surfaces in Euclidean 3-Space E3

Abstract

Besides the curves, rotational surfaces were among the earliest topics in differential geometry to be addressed. In both engineering and science, the utilization of surfaces of revolution is crucial. Because they occur frequently in nature, surfaces of revolution have long been recognized as both common and well-known in geometric modeling. For instance, in mathematics, human artifacts, and technological practice. In addition, several items from daily life, including cans, furniture legs, and table glasses. They serve as illustrations of revolution surfaces. Additionally, the simple act of turning wood creates surfaces that are in a state of revolution [1, 2].