Contents What This Book IsI Tensegrity1 Weight vs. Tension1.1 Appendix to Chapter 1: Tensegrity Prisms2 Spherical Tensegrities2.1 Equilibrium2.2 Elasticity Multiplication3 Complex Spherical Tensegrities3.1 Great Circle Tensegrities3.2 Dip-Angle Calculations3.3 Calculation of Remaining Dimensions3.4 Appendix to Chapter 3: Derivation of Tensegrity-Sphere Equations4 Tendon System Minima4.1 Six-strut Tendon Minima5 Geodesic Subdivision6 Rigid Tensegrities6.1 Numerical ExampleII Geodesics7 Great Circles7.1 Great-Circle Systems7.2 Octahedral and Tetrahedral Great Circles8 Symmetry Systems8.1 Envelope Contours9 The Spherical-Coordinate System10 Breakdown Systems10.1 Class I (Alternate)10.2 Class II (Triacon)10.3 Which Class?10.4 Which Frequency?11 Choosing a Polyhedron11.1 Other Criteria12 Using the Tables12.1 Planning the Work: Class I12.2 Accuracy12.3 Class II12.4 Appendix To Chapter 12: Derivation of the Coordinates13 Ellipses and Superellipses13.1 Octahedral Ellipsoids13.2 Modifying Coordinates13.3 Superspheroids13.4 Varying Two Radii13.5 Free Forms14 Truncations14.1 Truncation by Rotation14.2 Novel Truncation Planes14.3 Zenith Altitude and Floor Radius15 An Advanced Problem15.1 Quartering the Icosa15.2 Writing the Coordinates15.3 Rotating the Coordinate System15.4 Tabulating the Radii15.5 Chord Factors15.6 Truncation16 Space Frames16.1 Diamond Patterns16.2 Trussed Frames17 About Angles17.1 Axial Angles17.2 Face Angles17.3 Dihedral AnglesIII Data18 Class I Octahedral Coordinates19 Class II Method 1 Octahedral Coordinates20 Class I Method 1 Icosahedral Coordinates21 Class II Method 1 Icosahedral Coordinates22 Tetrahedral Coordinates23 Class II Method 3 Coordinates and Chord Factors Appendices Appendix I: Writing Class II Method 3 Coordinates Appendix II: Calculator Routines Appendix III: HP-65 Programs List of Figures List of Tables Bibliography Index
Geodesic Math and How to Use It Geodesic Math and How to Use It