New to the Second Edition New Foreword by Joseph Clinton, life-long Buckminster Fuller collaboratorA 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 optimizationAn expanded history of the evolution of spherical subdivisionNew applications of spherical design in science, product design, architecture and entertainmentNew geodesic algorithms for grid optimizationNew 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.