The application of fractal geometry to the design of grid or reticulated shell structures

Authors:
M. A. Vyzantiadou;A. V. Avdelas;S. Zafiropoulos
Affiliations:
Department of Civil Engineering, Aristotle University, GR-541 24 Thessaloniki, Greece;Department of Civil Engineering, Aristotle University, GR-541 24 Thessaloniki, Greece;Department of Architecture, Aristotle University, GR-541 24 Thessaloniki, Greece
Venue:
Computer-Aided Design
Year:
2007

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Abstract

The paper proposes an approach where structural systems can be developed according to the mathematical theory of fractals. Architecture can take advantage of the complexity sciences, by the use of present day computer technology, where algorithms of mathematical and geometric functions can produce new motifs of design. In order to demonstrate this, examples of the use of the elliptic and hyperbolic paraboloid, and the design of a tree on the surface of an elliptic paraboloid, are given. Further, the way to compose relevant algorithms is described.