Geometric 3D Models of Spiral Structures Inspired by Contemporary Architecture

Abstract

This geometric research is inspired by numerous magnificent structures-buildings around the world, which applied spiral geometry. Here we will present some of these architectural wonders and their basic geometric concepts. The intention of our work is to present the palette of 3D structures modeled in engineering software Auto CAD, where 3D operations with solids were available. Our concept concerning modeling of spiral building structures follows the basic geometric principles of simultaneous rotating and translating of an element along given geometric axis. The simple geometric shapes of circle, square, triangle and hexagon were combined in order to create the basic unit of spiral structure. We employed repetition of the basic unit, with the moving option in zigzag direction, around the central core (imaginary or real). Also, the combinations of elements which differ in sizes (scaling) are present in modeled shapes. As the result, we made various 3D models arranged in two types of structures: one developed in horizontal and the other in vertical direction.