(Ebook) Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere by Edward S. Popko, Christopher J. Kitrick ISBN 9780367680039, 9780367680749, 9781003134114, 9782021007664, 0367680033, 0367680742, 1003134114, 2021007669, 2021007670

(Ebook) Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere by Edward S. Popko, Christopher J. Kitrick ISBN 9780367680039, 9780367680749, 9781003134114, 9782021007664, 0367680033, 0367680742, 1003134114, 2021007669, 2021007670

New to the Second EditionNew Foreword by Joseph Clinton, lifelong 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