Shape

419 Index
equivalence, 230–232
generative, 268
and groups, 266–268, 304
indeterminate, 214, 241, 260–261, 265, 278–
280, 282
nondeterministic, 337, 359, 365–366
parallel, 287–291, 355–357, 303, 304, 384
and recursion, 81–82, 179–180, 228, 237,
310, 315, 403n47
shape, 228–230, 232–234
and symmetry, 231–232, 237–240, 244–245
sagacity and
creativity, 64–65, 81–82, 144, 274
reasoning, 64, 116, 130
rules, 64, 233–234, 308
Sacks, P., 396n49
scale
seeing, 274, 398–399n9, 401–402n25
transformation, 194
schema for
designs, 54
rules, 126–130, 277–282
schema types
fi , 369
etc., 320, 326, 339, 343, 358, 359, 360, 362,
365, 373, 375
inverse schemas, 128, 229, 241, 245, 247,
277, 287, 320, 328, 329, 344, 369, 370–371,
372, 373, 379, 383, 384
poly fi , 357, 369
see x do y, 15
x fi , 247, 355, 369, 384
x fi A þ B, 245, 254, 277, 287, 303, 371, 375
x fi bðxÞ, 128, 277, 370, 382
x fi divðxÞ, 323, 371, 374
x fi tðxÞ, 100, 117, 121, 126, 128, 151, 229,
247, 277, 301, 355, 369, 378, 382
x fi x, 160, 247, 277, 333, 368, 369, 378,
382
x fi x þ bðxÞ, 277, 370, 383
x fi x þ tðxÞ, 128, 237, 240, 277, 321, 370,
378, 383
x fi x þ x 0 , 325, 343, 370, 378, 383
x fi x 0 , 370, 378, 383
x fi x 0 þ x 00 , 335
x fi y, 126, 278, 280, 314, 369
x fi P tðxÞ, 242, 277, 320, 373, 378, 379
x fi P x 0 , 378
x þ bðxÞ fi bðxÞ, 372
x fi xx, 384
x fi x, 384
x fi y, 384
scheme for visual and verbal expression, 7–8,
21, 63, 139, 159, 276–277
Schon, D. A., 7, 49–50, 393n10
science, 33, 57–59, 138, 145, 151, 302, 308,
368, 391n2
science of design, 134, 393–393n6
scientific method, 157
scruples, 141, 154, 158
search, 36–37, 81, 144, 156, 163, 310, 365,
401–402n25
see x fi do y (see schema types)
seeing and
doing, 2, 14–15, 47, 49, 61, 163, 228, 311–
312, 387, 389
getting, 48–49, 310
finding, 64
159, 296–301
segmentation in
drawing, 18–19
music, 398–399n9
photography, 18–19, 401–402n25
shapes, 21–28, 77
self-similar patterns (cellular automata and
rules), 274–275, 379
semantic information, 159, 161, 305
semantics, 18, 159–163, 215, 216, 239, 388
Semper, G., 54
sense perception, 386
set grammar, 53, 65, 206, 226, 245, 275, 304,
398–399n9
shape
grammar, 53
grammarian, 47, 354
grammarist, 1, 47–48, 49, 55, 304, 387, 388
rules, 228–230, 232–234
shape grammars
for cellular automata, 273–275
and computers, 47–48
for designs, 319–354, 403–404n1
and irony, 20, 153, 394n16
and language, 17–18, 20
and mathematics, 58