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 categories of subdivision based on geometric solids (polyhedra) are explained step-by-step. The book also includes basic and advanced Computer-Aided-Design (CAD) techniques for spherical design. CAD is an important tool for today’s product designers, engineers, scientists and interactive game designers.

Here’s what’s inside and some sample pages:

  • Chapter 1 – Divided Spheres
  • Chapter 2 – Bucky‚Äôs 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 – Computer-Aided Design (CAD)
  • Chapter 11 – Advanced CAD Techniques
  • Appendices
    • Spherical Trigonometry
    • Stereographic Projection
    • Geodesic Math
    • Schema Coordinates
    • Coordinate Rotations
  • Illustrated Glossary
  • Bibliography
  • Index
  • About the Author

 

Sample Pages



Front Cover

Page 25 25

Page 71 71

Page 109 109

Page 122 122

Page 191 191

Page 241 241

Page 245 245

Page 384 384

Page 395 395

Page 478 478

Back cover Back cover