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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.) S -module, 167, 168, 216 S aint Peter's Cathedral Dome, 243, 245 S chlaefli's formula, 44 S cience of spatial complexity, 9, 23, 267, 269 order inherent in space, 23, 71, 84-86, 100, 106, 154, 157, 168, 175, 230, 267 shape of space, 10-11, 36, 68, 92, 101-102, 107, 109, 114, 129, 130, 143, 144, 145, 146 spatial constraints, 9, 10, 36, 41, 42, 68, 84, 101, 119, 132, 133, 176-177, 209, 239, 242, 257 S emiregular polyhedra, 28, 49, 52 S hell, or single-layer, systems, 117-119, 164, 227, 238, 239; see also Virus S ixness cosmic, 223 six positive-negative linear directions, 93, 114, 267 S lenderness ratio, 246 S nelson, Kenneth, 251 S odium chloride, 33 S olar system as tensegrity, 247-248 S olids geometric, 7, 17, 34, 154 impossibility of, 7, 16, 27, 61, 124, 125, 171, 184, 245, 249, 250 phase changes in chemistry, 163, 172-174 solid-things thinking, 245, 250, 267 S olway, Carl: Carl Solway Gallery, 171 S outheast Asian basketry, 233 S pace-filling all-space filling, 175, 183, 196, 200, 203-205 complementarity, 170; see also Isotropic vector matrix, alternating octahedra and tetrahedra complex, 173, 196, 203, 229 cubes, 175, 177, 181 domain of sphere, 138 filling space with closepacked spheres, 107-108, 109, 228 formula for space filling, 180, 185-188, 203-205 IVM and, 127, 132, 139, 140, 180, 189; see also Isotropic vector matrix octet symmetry, 121, 178, 199, 203 rhombic dodecahedron, 181, 182 rhombohedron, 135, 180, 185 space fillers, 175, 179-181, 185, 188, 196, 200, 201, 203 teams, 180-181, 185 truncated octahedron, 184, 204; see also Tetrakaidecahedron see also Mite S paceship Earth, 5, 20, 61, 258, 260, 261 S pace Structures, 10, 47 S pecial case, 65, 66, 259 special-case experience, 13, 28 special-case system, 66, 81, 157 S phere impossibility of, 15-18, 235, 237-238; see also Infinity omnisymmetrical form, 101, 114, 208, 228 surface area of, 17, 223, 235, 262 S pheric, see Rhombic dodecahedron S pherical polyhedra, 207, 208, 209, 210, 212-213, 215, 220, 223, 233, 263 S pherical triangles, 29-30, 210, 214, 216, 223, 226 S pherical trigonometry, 79, 242-243 S tar tetrahedron, 46, 210, 224 S tellation, 47 definition of, 47-48 degenerate stellation, 48, 50, 51, 52, 137, 139, 140, 181, 216 S traight line chord, 17, 238, 263 Euclidean, 207 imaginary straight line, 7 impossibility of, 4, 6, 8 vector as replacement for, 8, 38, 68 S tructural stability applied loads, 63-64 necklace, 54-57 prime structural systems, 60-63, 117, 236 stability and jitterbug, 159-161 stability formula, 60 structure defined, 61 triangulation, 59-60- 60-63, 97, 117, 119, 140, 141, 189, 226, 233, 235, 237, 242, 256 see also Triangles, stability of S unset Fuller anecdotes about, 2, 4, 20 sunclipse, 20 sunsight, 20 S ymmetry defined, 52-53, 101, 189 mirror symmetry, 53, 101, 190 octet symmetry, 121, 178, 199, 203 omnisymmetry, 88, 89, 91, 93, 101, 114, 140, 141, 228; see also Isotropic vector matrix planar symmetry, 85-87 polyhedra as symmetry patterns, 68, 168, 180 rotational symmetry, 53, 101, 113, 165-166, 169, 176, 209, 210 seven unique axes of symmetry, 209, 210, 211, 213, 230 spatial symmetry, see omnisymmetry see also Closepacked spheres, Great circles, Interprecessing, Isotropic vector matrix, Sixness, Four planes of symmetry S ynergetics accounting, 130-131 cosmic accounting, 193 S ynergetics: The Geometry of Thinking, 4, 6, 13, 24, 28, 29, 33, 34, 44, 49, 70, 72, 74 and 74, 95, 102, 111, 174, 183, 197, 207, 250 "Contributions to Synergetics," 37, 148, 157, 167, 168, 180, 196-197 S ynergetics 2: Further Explorations in the Geometry of Thinking, 167 S ystem, definition of, 25-26, 38, 44 T akeout angle, see Angular topology T ensegrity, 3, 244, 245, 247 interplay of tension and compression in Universe, 244-245- 245-249, 250, 251, 255-256, 257 models, 250-251- 251-255 pneumatics, 255-256 tensile strength, 34, 246, 252-253 tension materials, 98, 246, 247, 253, 267 use of tension in construction, 249, 250 T essellations, 39-40- 40-42, 176, 177, 236 T etrahedron basic unit in synergetics, 28, 38, 111, 147, 149, 150, 172-173, 212 central angle of, 95, 121, 136, 137 cheese, 147, 155 four-dimensional, 71, 73, 93 inside-out, 63, 162 isotropic vector matrix and, 134-135- 135-141 jitterbug and, 162 minimum system of Universe, 26-27, 31-32, 73, 93, 97, 111, 131, 140, 146, 149, 158, 172, 189, 190, 202, 223 net, 193-194 pattern integrity, 59 perpendicular symmetry of, 122-124, 154-155 rigidity of, 63, 142 sphere-cluster tetrahedra, see Closepacked spheres subdivision of tetrahedron, 150, 153, 155, 189, 190; see also A-module surface angles of, 57, 77 tetrahedroning, 21-22, 187-188 truncation of, 46-47, 135 topology of, 43, 212 unit of volume, 144-145, 148, 149, 150, 152, 158, 163, 201 T etrakaidecahedron, 48, 135-136, 184-185 T hree-way grid, 233, 242, 256; see also Structural stability, triangulation T itanium shell experiment, 239 T hinking, Fuller's explanation of, 31-33 T riangles equilateral triangles in vector equilibrium, 91, 117 similar, 146-147, 148 stability of, 26, 55-56, 61, 97, 161, 244, 262; see also Structural stability, triangulation triangling" instead of squaring, 21 triangular numbers, 109, 110 see also Closepacked spheres, Isotropic vector matrix T ropic of Cancer, see Lesser circles T runcation, 46, 184 definition of, 46-47 degenerate, 47, 51, 52, 90, 92, 155 isotropic vector matrix and, 135, 136, 140, 184-188 T russ, see Octet Truss T une-in-ability, 30-31 T welve degrees of freedom, 93-97, 114, 227, 267 degrees of freedom in space, 94-95, 96 freedom of motion in sphere packing, 111 planar analogy, 93-94 tetrahedron and degrees of freedom, 95-97 see also Bicycle wheel

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