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9. | Isotropic Vector Matrix ..................................................... | 127 |
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A Quick Comparison: "Synergetics Accounting" ............................. | 130 |
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Cells: "Inherent Complementarity ......................................... | 131 |
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A Complete Picture ....................................................... | 133 |
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Angles ............................................................................ | 134 |
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Locating New Polyhedral Systems ...................... | 135 |
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Duality and the IVM ............................................................... | 136 |
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Angles ............................................................................ | 136 |
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Polyhedra ......................................................................... | 137 |
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Domain ............................................................................ | 138 |
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Framework of Possibility .......................................................... | 140 |
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Invention: Octet Truss ............................................................ | 141 |
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10. | Multiplication by Division: In Search of Cosmic Hierarchy ... | 143 |
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Volume .......................................................................... | 143 |
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Results: Volume Ratios .......................................................... | 144 |
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Shape Comparisons: Qualities of Space ................... | 146 |
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Volume: Direct Comparison ....................................................... | 147 |
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Multiplication by Division ...................................................... | 149 |
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Tetrahedron as Starting Point ................................................... | 149 |
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Cube ............................................................................ | 150 |
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Vector Equilibrium .............................................................. | 152 |
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Rhombic Dodecahedron ............................................................ | 153 |
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Multiplication by Division ...................................................... | 154 |
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Cosmic Hierarchy (of Nuclear Event Patternings) ............. | 157 |
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Volume Reconsidered ......................................... | 157 |
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11. | Jitterbug ................................................. | 159 |
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Folding a Polyhedron .......................................... | 160 |
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Volume and Phase Changes ........................................................ | 163 |
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Icosahedron ..................................................................... | 163 |
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Single Layer versus IVM ......................................................... | 164 |
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"Trans-Universe" versus "Locally Operative" ............. | 165 |
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Fives ..................................................................... | 165 |
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"S Modules" ............................................ | 167 |
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Icosahedron and Rhombic Dodecahedron .............. | 167 |
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Pentagonal Dodecahedron .................................................... | 168 |
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Four Dimensions ............................................................. | 169 |
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Complex of Jitterbugs ........................................................... | 170 |
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Other Dynamic Models ............................................................ | 172 |
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Topology and Phase .............................................................. | 172 |
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12. | "All-Space" Filling: New Types of Packing Crates ............... | 175 |
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Plane Tessellations ............................................................. | 176 |
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Filling Space ................................................................... | 177 |
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Complementarity ................................................................. | 178 |
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Other Space Fillers ............................................................. | 179 |
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The Search Continues ............................................................ | 180 |
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The Dual Perspective ............................................................ | 181 |
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Duality and Domain in Sphere Packing ............................................ | 183 |
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Truncated Octahedron ............................................................ | 184 |
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Two to One: A Review ............................................................ | 185 |
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13. | The Heart of the Matter: A- and B-Quanta Modules ...... | 189 |
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A-Quanta Modules ................................................................. | 190 |
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B-Quanta Modules ................................................................. | 190 |
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Energy Characteristics ........................................................... | 193 |
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Mite ............................................................................. | 195 |
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Mirrors .......................................................................... | 197 |
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Cube into Mites .................................................................. | 198 |
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Rhombic Dodecahedra .............................................................. | 198 |
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Coupler .......................................................................... | 199 |
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Volume and Energy ................................................................ | 201 |
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Review: All-Space Fillers ........................................................ | 203 |
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14. | Cosmic Railroad Tracks: Great Circles ................. | 206 |
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Why Are We Talking About Spheres? ............................... | 207 |
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New Classification System ........................................................ | 208 |
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Great-Circle Patterns ............................................................ | 209 |
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Least Common Denominator ......................................................... | 213 |
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LCD: "Intertransformability" ..................................................... | 215 |
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LCD of 31 Great Circles .......................................................... | 216 |
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VE's 25 Great Circles ............................................................ | 217 |
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Operational Mathematics .......................................................... | 219 |
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Conservation of Angle ............................................................ | 221 |
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Foldable Systems ................................................................. | 223 |
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Energy Paths ..................................................................... | 226 |
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Gas Molecules .................................................................... | 226 |
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Great-Circle Railroad Tracks of Energy ................................. | 228 |
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Icosahedron as Local Shunting Circuit .................................. | 229 |
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Inventory: Seven Unique Cosmic Axes of Symmetry .................... | 230 |
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Excess of One ......................................................................... | 230 |
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15. | From Geodesic to Tensegrity: The Invisible Made Visible ..... | 232 |
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Theory Behind Geodesic Structures: Summary ............... | 235 |
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Geodesic Design in Nature ....................................................... | 237 |
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Geodesic Domes: Design Variables ................................................ | 240 |
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Tensegrity ...................................................................... | 243 |
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Nature's Example ................................................................ | 245 |
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New Concept of Construction ...................................................... | 249 |
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Modeling the Invisible ........................................................... | 250 |
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Tensegrity Polyhedra ............................................................. | 251 |
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Pneumatics ....................................................................... | 255 |
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Case in Point: Donald Ingber ..................................................... | 257 |
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16. | "Design Science" ..................................... | 258 |
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"Comprehensive Anticipatory Design Science" ................ | 258 |
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"Comprehensive..." ........................................................... | 259 |
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"...Anticipatory..." ......................................................... | 261 |
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Dymaxion Map ................................................................. | 263 |
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Suspended Storage Systems ................................................... | 266 |
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More with Less .............................................................. | 266 |
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