Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere

Edward S. Popko, Christopher J. Kitrick

Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere
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Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere

Edward S. Popko, Christopher J. Kitrick

New to the Second Edition New Foreword by Joseph Clinton, life-long Buckminster Fuller collaborator A new chapter by Chris Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology, suggesting ways of comparing their levels of optimization An expanded history of the evolution of spherical subdivision New applications of spherical design in science, product design, architecture and entertainment New geodesic algorithms for grid optimization New full-color spherical illustrations created using DisplaySphere to aid readers in visualizing and comparing the various tessellations presented in the book. Updated Bibliography with references to the most recent advancements in spherical subdivision methods.

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