Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry

Abstract

Researching the different types of plane curves with ovoid shape, it has been shown that there are some forms of egg-curves that may be useful for design in engineering, especially in architecture. Increase of energy efficiency, increase of streamlining, reduction of aerodynamic drag and reduction of materials consumption during construction, are the reasons for the growing upbuilding of structures with ovoid form. By the analysis conducted in this paper, it is concluded that the contours of objects can be approximated by a cubic egg-shaped curve obtained as a result of the construction of Fritz Hügelschäffer. The quality of the coherence between an actual object’s shape and the mathematical formula of the cubic egg curve is quantified by the coefficient of determination. The paper is presenting the results of similitude comparisons of the Hügelschäffer’s egg curve shape with several well-known architectural structures