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Amy C. Edmondson A Fuller Explanation Index [ A through H ] I through R [ S through T ] [ U through Z ] (Bold print indicates page number which includes illustration of entry.) I cosahedron, 26, 39, 49 "dimpling," 63 and geodesics, 236-240- 240-242 jitterbug and, 161, 163-164 net, 76 "out-of-phase" role, 164, 167-169, 178, 180, 186, 216-217 structural system, 61-63 symmetry of, 73, 164-166, 213- 213-215, 233, 262, 263 volume of, 163, 164 see also Closepacked spheres; Dymaxion Map; Great circles, icosahedron as local shunting circuit; Shell systems; Universe, "trans-Universe" versus "locally operative system" I cosadodecahedron, 49 I nfinity, 23 infinite straight line, 6, 84 infinite number of vertices in sphere, 16-17, 79 see also Straight line I ngber, Donald, 4, 257 I n-Out versus Up-Down, 19-20 I nterprecessing, 121- 124 I ntertransformabilities, 46, 50-52, 140-143, 157, 189, 192, 204, 209, 210, 215-218 I nvention, 141, 240, 258 gestation rates, 261-262 inventor, 1 see also Design science I nvisibility invisible reality, 2, 14, 34, 163, 170, 172, 232, 246-247, 250-252, 256, 268 invisible Universe, 162, 250 I sotropic vector matrix (IVM), 10, 127-142 (Chapter 9), 143, 150, 159, 164, 189, 192, 195-197 alternating octahedra and tetrahedra, 127-128, 131-134, 137, 146, 178, 189 cube and IVM, 137-138-139 equilibrium, 129 frame of reference, 140, 143- 144, 146, 154-157, 164-165, 167, 170, 175, 180-181, 183, 185, 188, 204, 217, 229 IVM', 139, 140, 143, 150, 154, 180-181 omnisymmetry, 129-130, 137, 141, 165, 183, 189 omnitriangulation, 133 square cross-section of IVM, 133-134 VE and IVM, 135; see also Vector equilibrium and space-filling see also Space-filling VM, see also Isotropic vector matrix J itterbug complex of jitterbugs, 170, 171 flexible VE model, 159, 169 solid-triangle model, 169 transformation, 159-163, 169, 170, 174, 213, 216 K enner, Hugh, 69, 290 K lug, Aaron, 238-239 L east common denominator (LCD), 189-192, 195-196, 198, 213-218, 225, 234, 242-243 L ee, Tsung Dao, 179 L esser circle, 206 Tropic of Cancer, 206-207 L everage, 12, 56 L ife, see Pattern integrity L ife-support, 24, 268 L ocal holding patterns, 222, 228 L oeb, Arthur L., 3-5, 10, 37, 44-45, 45-48, 51, 52, 60, 143, 147, 155, 167, 180, 185, 196-197; see also Space Structures M acCready, Paul Gossamer Albatross, 246-247 M althus, Thomas, 4, 268 M assachusetts Institute of Technology (MIT), 4, 5, 59, 65 M ercator projection, 263-264 M ite, 195-196, 199-200, 202 cubes and, 198-200 mirror symmetry of, 197-198, 202 rearrangement of, 202-203 rhombic dodecahedron and, 198-200 M ore with less, 268-269 M ozart, 58 M ultiplication by division, 143, 149, 154-157- 157-158, 163, 178, 193, 212 N ature's coordinate system, 2, 9, 9-11, 16, 17, 24, 34, 67, 68, 84, 102, 193 N ests, see Closepacked spheres N et, polyhedral, 75, 76, 79, 193-194 N eutral axis, 247 N uclear spheres, 100-101, 105, 111, 201, 203 removal of, 117-118, 159, 164 tetrahedron and nuclei, 112-114, 120 VE and nuclei, 114-116, 118, 159 see also Closepacked spheres O ctahedron, 38, 73, 139 closepacked spheres and, 107, 108, 120 jitterbug and, 161-163 net, 76 octahedral cavities, 92, 107, 129, 132-133, 150, 155, 166, 170, 178, 185 structural system, 61-64, 137 symmetry of, 73, 93, 209-211 truncated see tetrakaidecahedron see also Isotropic vector matrix, B-module O ctant, 120, 137, 150-153, 151, 178, 185, 190 O ctet symmetry, see Symmetry O ctet Truss, 1, 63-64, 141-142, 178, 198 O perational mathematics, 6, 8, 10, 24, 29-30, 143, 146, 175, 219, 235 operational procedure, 9, 18, 179, 193 P attern integrity, 54, 56-59, 97 life, 9, 58-59 knot, 57-59 "thinkable me," 58 wave, 57-58, 171 P entagonal dodecahedron, 41, 49 symmetry of, 41, 49, 168, 216 P hase changes, see Solids P hilosophy (of Buckminster Fuller), 1, 32, 97-99, 260, 269 philosophy and geometry, 32 P i, 15-17 P latonic polyhedra, 34, 45, 252 derivation of, 37-40- 40-43 see also Regular polyhedra Poles of spinnability, 44, 116, 208 P rinciple of angular topology, see Angular topology P rinciple of design covariables, 67 Q uantum, 28 discrete quanta, 144, 205, 238 edges (six) as one, 28, 59, 62, 63, 77, 125 physics, 179 units, 167 see also A-module, B-module R egular polyhedra, 28, 37-43, 52; see also Platonic polyhedra R hombic dodecahedron, 28, 50-52, 218 duality of, 51, 181-182 icosahedron and, 137 IVM and, 137 space-filling property, 181-182, 185 spheric, 138-140, 183, 198, 200, 204 volume, 153, 154 see also Mite, rhombic dodecahedron and Mites R hombic triacontahedron, 26, 216, 225 R hombicuboctahedron, 155 R hombohedron, 135, 180, 185-186

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