Index
2D system, 127, 221
3D consistency, 128, 151, 158, 221, 224,
225, 261, 314, 316
3D system, 34, 44, 63, 67, 89, 272
4D consistency, 36, 37, 45, 63, 70, 91, 272
5-point sphere, 146
A-net, 66, 82, 119, 130
convergence, 199
in a quadric, 121
A-surface, 11, 66
associated family, 180, 211
associated point, 99, 121
asymptotic line parametrized surface, 11,
66
acklund transformation, xvi, xviii, 21,
133, 142, 179, 209, 211, 214, 224, 318
convergence, 205
Bianchi permutability, xviii, 212, 215
Bianchi quadrilateral, 1
bilinear cube equation, 277
bilinear Hirota equation, 285
bilinear octahedron equation, 285
biquadratic, 240
nondegenerate, 241
Brianchon theorem, 165, 366
Calapso transformation, 182
Carnot theorem, 364
Cauchy problem, 228
Cauchy-Riemann equation, 291, 292, 294
integrable, 297
Chebyshev net, 20
Chebyshev quadrilateral, 130, 145, 179, 282
Christoffel dual net, 7, 23, 27, 49, 58, 156,
168, 175, 176
circle pattern, 311
integrable, 317
isoradial, 317
circular net, 88, 117, 145, 177
convergence, 202, 203
Clifford algebra, 349
Clifford configuration, 147
Clifford group, 349
Clifford’s chain of theorems, 121
Combescure transformation, 5, 47, 170
commuting flows, xvi, xviii, 209
conical net, 103, 117, 177
conjugate harmonic function, 291, 292
conjugate net, 2
contact element, 17, 106, 118, 177, 336, 354
continuous limit, xviii, 42, 60, 160
cross-ratio, 24, 77, 121, 147, 173, 357
cross-ratio equation, 222, 314
in associative algebra, 236
curvature line parametrized surface, 16, 88,
115
Darboux system, 4, 42, 273
Darboux transformation, xvi, xviii, 23, 26,
151
Desargues theorem, 149, 361
discrete
wa−1,
320
discrete
za,
320
discrete Amsler surface, 180
discrete asymptotic net, 66
discrete BKP equation, 81, 277
discrete Calapso equation, 237
discrete conjugate net, 32
discrete differential geometry, xiii, xviii
401
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