Abstract
The usefulness that Computational Geometry can reveal in the design of building and engineering structures is put forward in this article through the review and unification of the procedures for generating C-Tangent Space Structures, which make it possible to approximate quadric surfaces of various types, both as lattice and panel structures typologies.
A clear proposal is derived from this review: the possibility of synthesizing a great diversity of geometric design methods and techniques by means of a classic Computational Geometry construct, the power diagram, deriving from it the concept of Chordal Space Structure.
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References
Aurenhammer, F.: Voronoi Diagrams – A survey of a fundamental geometric data structure. ACM Computing Surveys 23(3) (1991)
François Gabriel, J.: Beyond the cube. The architecture of space frames and polyhedra. John Wiley and Sons, New York (1997)
Fuller, R.B.: Building Construction. U.S. Patent 2,682,235, p. 9 (1954)
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Kitrick, C.J.: A Unified Approach to Class I, II & III Geodesic Domes. International Journal of Space Structures 5(3&4), 223–246 (1990)
Mataix, C.: Geometría Analítica. Dossat S. A., Madrid, 191–192 (1947)
Nooshin, H., y Makowski, Z. S.: Special Issue on Geodesic Forms. Internacional Journal of Space Structures 5(3) y 4. Multi-Science Publishing Co. Ltd., Essex, England (1990)
Otero, C., Gil, V., Álvaro, J.I.: CR-Tangent Meshes. IASS Journal 41(132), 41–48 (2000)
Otero, C., Togores, R.: Computational Geometry and Spatial Meshes. In: Internacional Conference on Computer Science ICCS 2002, Amsterdam. Lecture Notes On Computer Science, vol. 2, pp. 315–324. Springer, Heidelberg (2002)
Pedoe, D.: Geometry. A Comprehensive Course, p. 74, 136, 138, 139. Dover Publications, Inc., New York (1970)
Preparata, F.P., Shamos, M.I.: Computational Geometry: An Introduction, pp. 246–248. Springer, New York (1985)
Togores, R., Otero, C.: Planar Subdivisions by Radical Axes applied to Structural Morphology. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds.) ICCSA 2003. LNCS, vol. 2669, pp. 438–447. Springer, Heidelberg (2003)
Tsuboi, Y., et al.: Analisys, desing and realization of space frames. Bulletin of International Assotiation for shell and spatial structures. Working group of spatial steel structures XXV-1/2(84-85), p. 15 (1984)
Wester, T.: A Geodesic Dome-Type Based on Pure Plate Action. Special Issue on Geodesic Forms. International Journal of Space Structures 5(3), 4. Multi- Science Publishing Co. Ltd., Essex, England (1990)
Yacoe, J.C.: Polyhedral Structures that Approximate a Sphere. U. S. Patent 4,679,361 (1987)
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Díaz, J.A., Togores, R., Otero, C. (2004). Geometry Applied to Designing Spatial Structures: Joining Two Worlds. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24767-8_17
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DOI: https://doi.org/10.1007/978-3-540-24767-8_17
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