Divided Spheres: Geodesics and the Orderly Subdivision of the SphereCRC Press, 2012年7月30日 - 532 頁 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 |
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 |
| 481 | |
9 Comparing Results | 247 |
10 ComputerAided Design | 275 |
11 Advanced CAD Techniques | 331 |
About the Author | 502 |
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常見字詞
antipodal points applications Archimedean solids assembly axis Buckminster Fuller Cartesian centroid chapter circle arcs circumsphere Class connector convex hull coordinates created cube cuboctahedron define deltahedra developed dimples distance distribution dodecahedron dual Equal-chords equilateral triangles Euler line example frequency geodesic dome geometry Golf Ball grid points hemisphere hexagonal icosahedral intersect lesser circle Mid-arcs normal number of points octahedral octahedron octet truss orientation origin pairs panel pentagonal perpendicular planar plane Platonic solids pole polygon polyhedra polyhedron position power copy PPT’s edges primitive radius reference model reference points result right triangles rotation Schwarz triangles sequence shown in Figure shows side sphere’s surface spherical caps spherical icosahedron spherical Platonic spherical subdivision spherical triangle stereographic projection struts subdivided sphere subdivision grid subdivision schemas surface angles tangent techniques tessellation tetrahedron three great circles triangle’s triangular trigrid truncated unit sphere USPTO Patent vector vertex vertices z-axis