Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere

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CRC Press, 2012年7月30日 - 532 頁
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This well-illustrated book—in color throughout—presents a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explains the principles of spherical design and the three main categories of subdivision based on geometric solids (polyhedra). He illustrates how basic and advanced CAD techniques apply to spherical subdivision and covers modern applications in product design, engineering, science, games, and sports balls.

 

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內容

1 Divided Spheres
1
2 Buckys Dome
13
3 Putting Spheres toWork
49
4 Circular Reasoning
79
5 Distributing Points
127
6 Polyhedral Frameworks
137
7 Golf Ball Dimples
181
8 Subdivision Schemas
191
A Spherical Trigonometry
363
B Stereographic Projection
373
C Geodesic Math
395
D Schema Coordinates
417
E Coordinate Rotations
423
Glossary
453
Useful Websites
479
Bibliography
481

9 Comparing Results
247
10 ComputerAided Design
275
11 Advanced CAD Techniques
331
About the Author
502
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