Divided spheres : geodesics and the orderly subdivision of the sphere /: geodesics and the orderly subdivision of the sphere. (2021)

• Record Type: Book
• Further Information: Note: Edward S. Popko with Chrisopher J. Kitrick.
• Authors: Popko, Edward; Kitrick, Chrisopher J
• Other Names: Popko, Edward
• Contents: 1. Divided Spheres. 1.1. Working with Spheres. 1.2. Making a Point. 1.3. An Arbitrary Number. 1.4. Symmetry and Polyhedral Designs. 1.5. Spherical Workbenches. 1.6. Detailed Designs. 1.7. Other Ways to Use Polyhedra. 1.8. Summary. Additional Resources. 2. Bucky’s Dome. 2.1. Synergetic Geometry. 2.2. Dymaxion Projection. 2.3. Cahill and Waterman Projections. 2.4. Vector Equilibrium. 2.5. Icosa’s 31. 2.6. The First Dome. 2.7. Dome Development. 2.8. Covering Every Angle. 2.9. Summary. Additional Resources. 3. Putting Spheres to Work. 3.1. The Tammes Problem. 3.2. Spherical Viruses. 3.3. Celestial Catalogs. 3.4. Sudbury Neutrino Observatory. 3.5. Cartography. 3.6. Climate Models and Weather Prediction. 3.7. H3 Uber’s Hexagonal Hierarchical Geospatial Indexing System. 3.8. Honeycombs for Supercomputers. 3.9. Fish Farming. 3.10. Virtual Reality. 3.11. Modeling Spheres. 3.12. Computer Aided Design. 3.13. Octet Truss Connector. 3.14. Dividing Golf Balls. 3.15. Spherical, Throwable Panʘnʘ ™ Panoramic Camera. 3.16. Termespheres. 3.17. Space Chip’s™. 3.18. Hoberman’s MiniSphere™. 3.19. V-Sphere™. 3.20. Gear Ball - Meffert's Rotation Brain Teaser. 3.21. Rhombic Tuttminx. 3.22. Rafiki’s Code World. 3.23. Japanese Temari Balls. 3.24. Art and Expression. Additional Resources. 4. Circular Reasoning. 4.1. Lesser and Great Circles. 4.2. Geodesic Subdivision. 4.3. Circle Poles. 4.4. Arc and Chord Factors. 4.5. Where Are We? 4.6. Altitude-Azimuth Coordinates; 4.7. Latitude and Longitude Coordinates. 4.8. Spherical Trips. 4.9. Loxodromes. 4.10. Separation Angle. 4.11. Latitude Sailing. 4.12. Longitude. 4.13. Spherical Coordinates. 4.14. Cartesian Coordinates. 4.15. ρ ɸ λ Coordinates. 4.16. Spherical Polygons. 4.17. Excess and Defect. 4.18 Summary. Additional Resources. 5. Distributing Points. 5.1. Covering. 5.2. Packing. 5.3. Volume. 5.4. Summary. Additional Resources. 6. Polyhedral Frameworks. 6.1. What Is a Polyhedron? 6.2. Platonic Solids. 6.3. Symmetry. 6.4. Archimedean Solids. 6.5. Circlespheres and Atomic Models. 6.6. Atomic Models. Additional Resources. 7. Golf Ball Dimples. 7.1. Icosahedral Balls. 7.2. Octahedral Balls. 7.3. Tetrahedral Balls. 7.4. Bilateral Symmetry. 7.5. Subdivided Areas. 7.6. Dimple Graphics. 7.7. Summary. Additional Resources. 8. Subdivision Schemas. 8.1. Geodesic Notation. 8.2. Triangulation Number. 8.3. Frequency and Harmonics. 8.4. Grid Symmetry. 8.5. Class I: Alternates and Ford. 8.6. Class II: Triacon. 8.7. Class III: Skew. 8.8. Covering the Whole Sphere. Additional Resources. 9. Comparing Results. 9.1. Kissing-Touching. 9.2 Sameness or Nearly So. 9.3. Triangle Area. 9.4. Face Acuteness. 9.5. Euler Lines. 9.6. Parts and T. 9.7. Convex Hull. 9.8. Spherical Caps. 9.9. Stereograms. 9.10. Face Orientation. 9.11. King Icosa. 9.12. Summary. Additional Resources. Subdivision Schemas. Geodesic Math. 10. Self-Organizing Grids. 10.1. Reduced Constraint Networks. 10.2. Symmetry. 10.3. Self-Organizing - Key Concepts. 10.4. Hexagonal Grids. 10.5. Rotegrities. 10.6. Future Directions. 10.7. Summary. Additional Resources. A. Stereographic Projection. B. Coordinate Rotations. C. Geodesic Math . Bibliography. Index;
• Edition: Second edition
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2021
• Extent: 1 online resource, illustrations (black and white, and colour)
• Subjects: 516.156; Polyhedra; Geodesic domes; Spherical projection
• Languages: English
• ISBNs: 9781000412475; 9781000412437; 9781003134114
• Related ISBNs: 9780367680039
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.