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Abstract

The objective of the present paper is to introduce a new approach in generating the geometry of geodesic domes with the aim of improving their regularity. The key aspect of the proposed technique is that the operation of projection on spherical surfaces, for creation of geodesic domes, is carried out in a number of steps. This is in variance with the normal practice of applying the projection in one go. The application of projection in a series of steps is referred to as the ‘stepping projection’. In the paper, the regularity of a number of geodesic domes generated by the stepping projection is compared with the standard ones. Regularity is examined based on different criteria, making it possible for the regularity to be assessable quantitatively. It will be shown that the use of the concept of stepping projection can improve certain aspects of the regularity of geodesic domes.

Keywords

geodesic dome regularity rounded polyhedra stepping projection

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References

Kenner

, Geodesic math and how to use it, University of California Press, Berkeley, 1976.

Motro

, Review of the development of Geodesic Dome, in: Makowski

Z. S.

ed., Analysis, Design, and Construction of Braced Domes, Nichols Publishing Company, London, 1984.

Tarnai

, Geodesic Domes: Natural and Man-Made, International Journal of Space Structures, 2011, 26 (3), 215–228.

Nooshin

Ishikawa

Disney

P. L.

Butterworth

J. W.

, The traviation process, Journal of the International Association for Shell and Spatial Structures, 1997, 38 (125), 165–176.

Nooshin

Mohammadi

Parke

G.A.R.

, Regularity of Geodesic Domes: Proceedings of the IABSE-IASS 2011, London, 2011.

Kaveh

Talatahari

, Geometry and topology optimization of geodesic domes using charged system search, Structural and Multidisciplinary Optimization, 2011, 43 (2), 215–229.

Saka

M.P.

, Optimum topological design of geometrically nonlinear single layer latticed domes using coupled genetic algorithm, Computers and Structures, 2007, 85(21–22), 1635–1646.

Nooshin

Disney

, Formex Configuration Processing, in: Motro

ed., Structural Morphology and Configuration Processing, Multi-Science Publishing Co., ISBN 978-1-907132-13-1., 2009.

Nooshin

Champion

O. C.

Disney

P. L.

, Computer aided processing of polyhedric configurations, in: Gabriel

J. F.

ed., Beyond the Cube: The Architecture of Space Frames and Polyhedra, Wiley, 1997.

10.

Champion

O. C.

, Polyhedric configurations, PhD Thesis, University of Surrey, 1997.

11.

Pugh

, Polyhedra: A visual approach, University of California Press, Berkeley, 1976.

Improving the Regularity of Geodesic Domes Using the Concept of Stepping Projection

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