What’s New Inside // Divided Spheres

Divided Spheres assumes you have no prior knowledge of spheres except for having played with a beach ball or perhaps noticed the dimple patterns on a golf ball. Every geometric aspect is illustrated, so much so, that you can learn the principles of spherical design simply by following Divided Spheres’ figures. The principles of spherical design and the three main Classes of subdivision plus self-organizing grids based on geometric solids (polyhedra) are explained step-by-step.

New to the Second Edition

New Foreword by Joseph Clinton, lifelong Buckminster Fuller collaborator
A new chapter on Self-Organizing Grids 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, geographic information systems, virtual reality, the arts and entertainment
New geodesic algorithms for grid optimization
New full-color DisplaySphere illustrations 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

Here’s what’s inside, Google’s review & some sample pages …

Chapter 1 – Divided Spheres
Chapter 2 – Bucky’s Dome
Chapter 3 – Putting Spheres to Work
Chapter 4 – Circular Reasoning
Chapter 5 – Distributing Points
Chapter 6 – Polyhedral Frameworks
Chapter 7 – Golf Ball Dimples
Chapter 8 – Subdivision Schemas
Chapter 9 – Comparing Results
Chapter 10 – Self-Organizing Grids
Appendices
- Stereographic Projection
- Coordinate Rotations
- Geodesic Math
Bibliography
Index
About the Authors

See Google’s review, click here

Sample Pages

Front Cover	5
13	25
27	31
82	84
99	130
203	207
213	238
250	265
284	287
293	326
326	345
347	Back cover