Planar subdivisions by radical axes applied to structural morphology

Authors:
R. Togores;C. Otero
Affiliations:
EGI-CAD Research Group, Department of Geographical Engineering and Graphic Expression Techniques, University of Cantabria, Spain;EGI-CAD Research Group, Department of Geographical Engineering and Graphic Expression Techniques, University of Cantabria, Spain
Venue:
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Year:
2003

Citing 3
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Abstract

In previous articles the relation between Lattice and Plate structural systems to Delaunay and Voronoi planar diagrams has been demonstrated. The present contribution shows how Geotangent Mesh designs can also be formulated as a bi-dimensional problem stated as the Planar Subdivision of Radical Axes arising from a packing of circles. This way the origin of all of the Spatial Mesh Structural Typologies can be formulated by means of the basic elements of Computational Geometry.