Shape

421 Index
symmetry in
lattice designs, 338–339
rules, 243–245
shapes, 237–238, 262, 373
villa plans, 343–344
syntactic ambiguity, 137, 389
syntax, 18–20, 21, 27, 29, 53, 54, 57, 65, 125,
153, 160, 161, 305, 310, 333, 337, 357, 382,
385, 388, 392–393n6, 394n16, 398–399n9,
401n24, 401–402n25, 404n3
tables and desks, 43–44
tadpoles, 397n14
tangential embedding, 173–174
Tapia, M. A., 305, 400n22
Tarski, A., 305, 393–394n12, 402n28, n31
Tchernikhov, J., 399n6, 403–404n1
teaching, 9–10, 17, 19, 41, 56, 72, 89, 157,
311, 321, 341, 342, 369, 380–381, 386–387,
392n3, 398–399n9
technique, 18, 19, 31, 54
1, 25–30
tendentious descriptions, 148
ten-bars, 42, 46
tessellations, 254
tesseract, 42
tests, 9, 19, 42, 49, 56, 57–58, 122, 132, 144,
146–147, 155, 309, 380–381
tetrahedron, 13, 393–394n12
tetrahedrons and solids 164–165
texture, 216
theory of representations, 287, 306
thought
combinatorial, 46, 302, 310
creative, 64–65, 143–144, 310
and design, 301–303
objective, 49
rational (reflective), 131, 140–141
and rules, 17
subjective, 49
symbolic, 20, 36
zero-dimensional, 226
‘‘timeless way of building,’’ 401n24
Tinkertoy, 41, 75
topology
and counting, 287–291
and decomposition, 285
discrete, 207–208
and identities, 85–88, 292–294
and rules 282–287
of a shape (closed parts), 106–107, 298–300,
306
Stone space, 209, 306
touch relation, 91, 170–176, 183, 211
tracing parts, 3, 15, 32, 64, 82, 88, 93, 116,
167, 194, 204, 312, 382
transformations
equivalence in rule application, 265–268
and equivalent rules, 230–231
Euclidean, 194–195
general, 316–317, 326, 329, 335
group of, 195
and inverse rules, 231–232
and rule application, 232–233
for rule application, 262–265
translation, 194
transparent construction, 392–393n6, 394n13
trees, 21, 52
triangles
definition, 66, 76, 110, 156
and planes, 164–165
trump card, 143
Turing, A. M., 18, 20, 21, 53, 92
Turing
machine, 16, 53, 245, 272–273, 275, 318, 385
test, 405–406n20
two cultures, 8, 277, 389
U 12
and architecture, 214
importance of, 214–215
union, 186, 226, 275
units (see also lowest-level constituents)
for drawing, painting, and photography, 18,
227–228
of equal length, 28
of perception and work, 398–399n9, 401–
402n25
universe of shapes, 212, 282
urban morphology, 58
Urpflanze, 54
usage 18, 19
useless rules, 85, 269, 283
311, 319–322