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Vol. 41 (2000) No. 2 August n. 133


Designing Optimal Spatial Meshes: Cutting by Parallel Trihedra Procedure

< Table of Contents for Vol. 41 (2000) No. 2 August n. 133
  • 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. 2 August n. 133
  • Pages: 101-110
  • Title: Designing Optimal Spatial Meshes: Cutting by Parallel Trihedra Procedure
  • Author(s): J. I. Alvaro, C. Otero
  • Keywords: Spatial Domes, Intersections of Spatial Domes, Vault Shaped Polihedra, Parallel Trihedra.
Abstract
This work proposes, under the title of “cutting by parallel trihedra or pyramids”, a procedure that makes the intersection of spherical spatial meshes possible in such a way that new vault shaped polyhedra can be obtained and under optimal conditions. Each face of this type of body is a patch of spherical dome the breakdown of which is known; this breakdown places some edges along minor circles in the sphere. Some photorealistic images of designs based on the parallel trihedra procedure are shown. The Parallel trihedra procedure does not make a really new breakdown of the sphere but it selects which Scale of the sphere can be used to make intersections with some others.

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