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Vol. 41 (2000) No. 1 April n. 132


CR-Tangent Meshes

< Table of Contents for Vol. 41 (2000) No. 1 April n. 132
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 41 (2000) No. 1 April n. 132
  • Pages: 41-48
  • Title: CR-Tangent Meshes
  • Author(s): C. Otero, V. Gil, J. I. Alvaro
  • Keywords: Structural dualism, Geodesic domes, Spatial meshes, Voronoi diagram, Computational geometry
Abstract
This paper extracts some properties from the field of Computational Geometry and applies them to the design of Spatial Meshes. By means of two transformations: one inversive, the other projective, a way for making up polyhedra approximating spheres and other rotated second order surfaces (ellipsoids, paraboloids and hyperboloids), starting from a simple Voronoi Diagram, is shown. The procedure and its theoretical basis are related. CR TANGENT is a name proposed from its Spanish meaning. CR: “Cuádricas de Revolución”.

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