Amy C. Edmondson

A Fuller Explanation

Index
(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,
8486,
100,
106,
154,
157,
168,
175,
230,
267   shape of space,
1011,
36,
68,
92,
101102,
107,
109,
114,
129,
130,
143,
144,
145,
146   spatial constraints,
9,
10,
36,
41,
42,
68,
84,
101,
119,
132,
133,
176177,
209,
239,
242,
257 
S  emiregular polyhedra,
28,
49,
52  S  hell, or singlelayer, systems,
117119,
164,
227,
238,
239;   see also
Virus 
S  ixness   cosmic,
223  
six positivenegative linear directions,
93,
114,
267 
S  lenderness ratio,
246 
S  nelson, Kenneth,
251 
S  odium chloride,
33 
S  olar system as tensegrity,
247248 
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,
172174   solidthings thinking,
245,
250,
267 
S  olway, Carl: Carl Solway Gallery,
171 
S  outheast Asian basketry,
233 
S  pacefilling  
allspace filling,
175,
183,
196,
200,
203205   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,
107108,
109,
228   formula for space filling,
180,
185188,
203205  
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,
179181,
185,
188,
196,
200,
201,
203   teams,
180181,
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   specialcase experience,
13,
28  
specialcase system,
66,
81,
157 
S  phere   impossibility of,
1518,
235,
237238;  
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,
212213,
215,
220,
223,
233,
263 
S  pherical triangles,
2930,
210,
214,
216,
223,
226 
S  pherical trigonometry,
79,
242243 
S  tar tetrahedron,
46,
210,
224 
S  tellation,
47  
definition of,
4748  
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,
6364   necklace,
5457   prime structural systems,
6063,
117,
236   stability and jitterbug,
159161   stability formula,
60   structure defined,
61   triangulation,
5960
6063,
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,
5253,
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,
8587   polyhedra as symmetry patterns,
68,
168,
180   rotational symmetry,
53,
101,
113,
165166,
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,
130131   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,
196197 
S  ynergetics 2: Further Explorations in the Geometry of Thinking,
167 
S  ystem, definition of,
2526,
38,
44 
T  akeout angle, see
Angular topology 
T  ensegrity,
3,
244,
245,
247  
interplay of tension and compression in Universe,
244245
245249,
250,
251,
255256,
257   models,
250251
251255   pneumatics,
255256   tensile strength,
34,
246,
252253   tension materials,
98,
246,
247,
253,
267   use of tension in construction,
249,
250 
T  essellations,
3940
4042,
176,
177,
236 
T  etrahedron   basic unit in synergetics,
28,
38,
111,
147,
149,
150,
172173,
212   central angle of,
95,
121,
136,
137   cheese,
147,
155   fourdimensional,
71,
73,
93   insideout,
63,
162   isotropic vector matrix and,
134135
135141   jitterbug and,
162   minimum system of Universe,
2627,
3132,
73,
93,
97,
111,
131,
140,
146,
149,
158,
172,
189,
190,
202,
223   net,
193194  
pattern integrity,
59  
perpendicular symmetry of,
122124,
154155  
rigidity of,
63,
142   spherecluster tetrahedra,   see
Closepacked spheres  
subdivision of tetrahedron,
150,
153,
155,
189,
190;  
see also
Amodule  
surface angles of,
57,
77  
tetrahedroning,
2122,
187188  
truncation of,
4647, 135   topology of,
43,
212  
unit of volume,
144145,
148,
149,
150,
152,
158,
163,
201 
T  etrakaidecahedron,
48,
135136,
184185 
T  hreeway grid,
233,
242,
256;  
see also
Structural stability, triangulation 
T  itanium shell experiment,
239 
T  hinking, Fuller's explanation of,
3133 
T  riangles  
equilateral triangles in vector equilibrium,
91,
117  
similar,
146147,
148  
stability of,
26,
5556,
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,
4647  
degenerate,
47,
51,
52,
90,
92,
155  
isotropic vector matrix and,
135,
136,
140,
184188 
T  russ,   see
Octet Truss 
T  uneinability,
3031 
T  welve degrees of freedom,
9397,
114,
227,
267  
degrees of freedom in space,
9495,
96  
freedom of motion in sphere packing,
111  
planar analogy,
9394  
tetrahedron and degrees of freedom,
9597  
see also
Bicycle wheel

