Space Structures: Their Harmony and Counterpoint - Hardcover

by Arthur L. Loeb (Author), Cyril Stanley Smith (Foreword by)

1. The Parameters of Structure.- 2. Valencies.- 3. The Euler-Schlaefli Equation.- 4. Statistical Symmetry.- 5. Random Two-dimensional Nets.- 6. Degrees of Freedom.- 7. Duality.- 8. Schlegel Diagrams.- 9. Regular Structures.- 10. Truncation and Stellation.- 11. Stellation and Truncation.- 12. Exhaustive Enumeration of the Semiregular Two-dimensional Structures.- 13. Dirichlet Domains in a Plane.- 14. Dirichlet Domains of Regularly Spaced Planar Arrays.- 15. Lattices and Lattice Complexes.- 16. Space-filling Polyhedra.- 17. Additional Space Fillers and their Lattice Complexes.- 18. Orthorhombic and Tetragonal Lattices.- Coda: Unwrapping the Cube: A Photographic Essay with technical assistance of C. TODD STUART and photography by BRUCE ANDERSON.