A New Log-aesthetic Space Curve Based on Similarity Geometry

Abstract

Structural optimization is a promising form-finding technique for the architectural schematic design phase of buildings. However, most published case studies tend to reduce practical design and analysis problems into simplified theoretical models in which materiality, geometry and loading conditions are over-simplified. This paper presents a structural optimization case study that allows the inclusion of complexity using Grasshopper and Matlab. The optimization process includes an automated update of structural size, shape and topology, material properties, and loading conditions. The method is applied to a parametric skyscraper design problem to demonstrate the use of Grasshopper to expedite the implementation of a complex problem and thereby facilitate the architectural schematic design phase.

Developable Ruled Surfaces Generated by the Curvature Axis of a Curve

“…However, new types of curves are being discovered that can be used as generators of ruled surfaces in the near future. For example, there is currently an interest in high-quality shapes that include log-aesthetic curves [36][37][38] and superspirals [39], and these curves can be used to generate high-quality and aesthetic ruled surfaces. Such an approach may have applications in automotive and road design, as well as shipbuilding.…”