Utilizing superellipses in computer modeling of architectural and engineering structures

This article provides an overview of established techniques for shaping the external profiles of surface vessels and underwater vehicles. It also introduces innovative architectural frameworks in the form of surfaces defined by the primary structure of three interconnected superellipses. The inclusion of nine arbitrary constants within the generalized parametric equations of these proposed surfaces enables the exploration of numerous profiles through computer-based simulations, utilizing a singular set of equations. The paper presents geometric study findings and showcases the efficacy of the computational tool SCAD in determining the stress-strain characteristics of architectural envelopes. The references to the utilized sources underscore the validity of the research, offering valuable insights for future studies while avoiding redundancy in the context of prior research efforts. Accompanying illustrations elucidate key developments, enhancing the reader's comprehension of the material presented.