Skip to main content

Geometry Applied to Designing Spatial Structures: Joining Two Worlds

  • Conference paper
Computational Science and Its Applications – ICCSA 2004 (ICCSA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3045))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Aurenhammer, F.: Voronoi Diagrams – A survey of a fundamental geometric data structure. ACM Computing Surveys 23(3) (1991)

    Google Scholar 

  2. François Gabriel, J.: Beyond the cube. The architecture of space frames and polyhedra. John Wiley and Sons, New York (1997)

    Google Scholar 

  3. Fuller, R.B.: Building Construction. U.S. Patent 2,682,235, p. 9 (1954)

    Google Scholar 

  4. http://www.canopytower.com/pub/StuTower.htm

  5. http://www.columbia.edu/cu/gsapp/BT/DOMES/OSAKA/0425-70.jpg

  6. http://www.eden-happenings.com/images/warm-left-ba170015.jpg

  7. Kitrick, C.J.: A Unified Approach to Class I, II & III Geodesic Domes. International Journal of Space Structures 5(3&4), 223–246 (1990)

    Google Scholar 

  8. Mataix, C.: Geometría Analítica. Dossat S. A., Madrid, 191–192 (1947)

    Google Scholar 

  9. 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)

    Google Scholar 

  10. Otero, C., Gil, V., Álvaro, J.I.: CR-Tangent Meshes. IASS Journal 41(132), 41–48 (2000)

    Google Scholar 

  11. 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)

    Google Scholar 

  12. Pedoe, D.: Geometry. A Comprehensive Course, p. 74, 136, 138, 139. Dover Publications, Inc., New York (1970)

    Google Scholar 

  13. Preparata, F.P., Shamos, M.I.: Computational Geometry: An Introduction, pp. 246–248. Springer, New York (1985)

    Google Scholar 

  14. 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)

    Chapter  Google Scholar 

  15. 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)

    Google Scholar 

  16. 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)

    Google Scholar 

  17. Yacoe, J.C.: Polyhedral Structures that Approximate a Sphere. U. S. Patent 4,679,361 (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24767-8_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22057-2

  • Online ISBN: 978-3-540-24767-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics