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Поиск по указателям |
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Coxeter H. — Regular polytopes |
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Предметный указатель |
-form 175—178
273 (see also Density)
102—105
94
82 91
, 130—133 141—144 149 153 232 290
15 19 61 67 73 91 102 108—109 221 225—234 243 278
155 201
-chain and -circuit 167 168—171
, , etc 12 132
176—178 183—185 190 193—194 205 208 212
, etc 58 291
22
, , etc. see Radii
120-cell {5, 3, 3} 153 157 162 240 269 292
16-cell = {3, 3, 4} 121—122 129 136 149 244 254 292
24-cell 3 4 3 148—154 245—247 270—272 289 292
600-cell {3, 3, 5} 153 157 163 167 239 247—249 260 270—272 292
Ab’l Waf 73
Abbott, E. A. 119 236
Abel, N. H. 55 311
Abstract group 41 43 80
Acute rhombohedron 26
Adjoint 177
Affine coordinates 180—184 189 213 218—219
Affine coordinates, geometry 27—28
Alexandroff, A. D. 28
Algebra 167—178
Alice through the looking-glass 75
Alternating group 43 48 106
Alternation 11 154—156 201
Analogy 118—124
Analysis situs 14 165
Andreini, Angelo 69 70 74
Angle of a polygon 2 94
Angular deficiency 23
Antiprism 4 5 14 45 255
Apeirogon {} 45 58 296
Apollonius of Perga 30
Archimedean solids 30 117 259
Archimedes of Syracuse 3 30
Area of a polygon 2 3 94
Area of a polyhedral surface 22
Associative law 39
atoms 74
Automorphism 106
Axis of rotation 47 63
Badoureau, A. 73 115
Baker, H. F. 210
Ball, W. W. R 8 10 14 27 69 92 114 163
Barlow, William 57
Barrau, J. A. 288
Bentley, W. A. 1
Bertrand, J. L. F. 309
Bessel functions 142
Birkhoff, Garrett 38 42 169
Bitangents of a quartic curve 211
Body-centred cubic lattice 74
Boole, George 258
Botany 31
Boundary 167
Bounding -chain 168—171
Brckner, Max 16 21 26 31 74 115 117 240
Bradwardinus 114
Brahana, H. R. 11
Branch of a graph 6
Brauer, Richard xi 262
Bravais, Auguste 44 56
Bredwardin 114
Brewster, Sir David 92
Burckhardt, J. J. xi 28 56 205
Burnside, William 164 210
Calculus, integral xi 125 144
Cartan, lie 209 211—212
Cartesian coordinates 2 3 52—53 63 70 119 122 127 133 156—158 205 214—216 239—240 245-247
Catalan, E. C. 259
Cauchy, A. L. 55 72 114 116 309
Cayley numbers 211
Cayley, Arthur 14 56 115 116 141 172 309
cell 68 120 127 197
Cell-regular compound 272
Central symmetry 27 91 225—226 234 238 274—275
Centre 2 130
Cesro, Ernesto 128 132 144 148 150 162
Cesro, Giuseppe (E.’s brother) 74
Chain 167—171
Characteristic equation 214—216 219—221 225
Characteristic equation, root 214—216 220
Characteristic equation, simplex 137—141 199
Characteristic equation, tetrahedron 71 282—287 290
Characteristic equation, triangle 24 31 66 109—111 290
Characteristic equation, vector 214—216
Chasles, Michel 55
Chebyshev, P. L. 222
Chess board 50
Chlorine 74
Chrome alum 13
Circogonia and Circorrhegma 13
Circuit 166 168
Circum-circle 2
Circum-radius 3 21 133 158 161
Circum-sphere 16
Clifford, W. K. 217 239
Close-packing 70
Coherent indexing 51 59 150—151
Collineation 213
Colunar triangles 112
Commutative law 39
complex numbers 3 64 214—216
Compound 47 60—61 95—100 149—150 268—272 287—288 305
Cone 255
Configuration 12 130 210—211
Congruent transformation 33 213—218
conjugate 42 81 85—86 208
Connected form 175
Connected graph 6
Connectivity 9
Content 123—127 141 161 183 273 293 295
Continued fraction 134 160
Continuous group 44 204 211—212
Contravariant 179
Convex 4 126
coordinates see Affine Cartesian Normal Oblique Quadriplanar Tangential Trilinear
copper 74
Core 98
Coset 42
Courant, Richard 143
Covariant basis 178
Covariant component 179
Coxeter, H. S. M. 30 32 52 92 97 109 117 142 162 164 199 203 209—211 234 262 263 270 286—288
Crosby, W. J. R. 185 274
cross 121 251
Cross polytope 121—122 129 136 145 149 225 244 245 254 294
Crystal ix 13 31 74
Crystal, classes 56
Crystal, twin 56
Crystallographic restriction 63
Crystallographic restriction, solids 289
Cube = {4, 3} 5 152 236 298
Cubic honeycomb 123 136 145 156 181 296
Cubic honeycomb , surface 142 211
Cuboctahedron 18 52 69 152 298 299
Curie, Pierre 57
Curjel, H. W. 144
CYCLE 40
Cyclic group 41 43 54 62 77
Cyclotomy 3 14
Drer, Albrecht 13
Decagon {10}, and Decagram {} 277
Definite form 173—174 184 189 193
| Degenerate polyhedron 61
Degenerate polyhedron, polytope 123
Del Pezzo, P. 211
density 94 102—105 263 266 273 282—287 290
Desargues, Girard 14
Descartes, Ren 23 31 59
Determinant, 160 273
Determinant, Schlfli’s 134 161 199
Dickson, L. E. 164
Digon {2} 4
Dihedral angle 22 61 133 136—141 154 273 281—284 293 295
Dihedral angle, group 46 54 62 77 188 195 222
Dihedral angle, kaleidoscope 76
Dihedron {} 2 12 46 67
Dipyramid 5 121
Direct product 42 44 78 188
Direct product, transformation 33 213
Dirichlet, P. G. L. 142
Discrete 44 76
Disphenoid 15 (see also Rhombic Tetragonal)
Displacement 33 213—218
Dodecagon {12} 1 246 287
Dodecagram {} 287
Dodecahedron {5, 3} ix 6 49—53 88 96 100 237 298—300 Rhombic)
Donchian, P. S. xi xix 242—243 260 262
Donkin, W. F. 55
Donnay, J. D. H. xi 37
Double rotation 216 221 229 233
Dreams, prophetic 260
Du Val, Patrick 32 56 97 116 117 185 211 212
Dual maps 6 60
Dudeney, H. E. 14
Dunne, J. W. 119 260
Dupin’s indicatrix 15
Dyck, Walther 92
EDGE 4 120 127
Einstein, Albert 186
Elements 68 70 127 197
Elements, the four 13
Elliptic functions 62
Elliptic geometry 217
Elongated dodecahedron 20 257
Elte, E. L. 164 210
Enantiomorphous 33 141 213
Enneagon {9} 1
Equator 67 73
Equatorial polygon {} 18 90 275—278
Equilateral zonohedra 28—29
Equivalent points 76
Etruscan dodecahedron 13
Euclid of Megara ix 1 13 30
Euclidean geometry 119 171 235
Euler, Leonhard 55 166 311
Euler’s formula 9 58 104 114 132 165—172 203—204 232 263 273
Euler’s function 94
Euler’s theorem on rotations 37
Eutactic star 251—257 261
Even face 7
Even permutation 40 49
Ewald, P. P. 181
Existence of star polytopes 282
Expansion and contraction 210
Extended polyhedral groups 82
Face 4 127 Odd)
Face-centred cubic lattice 74
Face-regular compound 47
Faceting 95 98—100 267—270 302-304
Factor group 43
Fedorov, E. S. 31 57 74 257
Fermat, Pierre de 14
Fibonacci numbers 23 31
Finite differences 258
Five cubes 49 100 240
Five octahedra 49—50 98—100 303 304
Five tetrahedra 49 98—100
Flather, H. T. 32 97 117
Flatland 98 119 236
Forchhammer, G. 144 165
Ford, L. R. 56 105
Forder, H. G. xi
Forest 6
FORM see Quadratic
Four-colour problem 14
Fourth dimension 118—123 141 258
Franklin, C. H. H. 29
Free product 75
Frontispiece 243 249 28
Fundamental region 63 76—87 188 194—197 200 205—212 297
G function 40 (see also Bessel Elliptic Euler’s Gamma Hypergeometric Schl
Galois, Evariste 55
Gamma function 125
Garnet 31
Gauss, C. F. 14
Gaussian integers 64 164 211
Generalized kaleidoscope 187—212
Generalized kaleidoscope, Petrie polygon 91 223
Generating relations 41 75 77 80 188
Generators 41
Genus 10 105
Gergonne, J. D. 73
Glaisher, J. W. L. 164
Glide-reflection 36 37 221
Gogh, Vincent van 143
Gold 74
Golden section 30 52 162
Gordan, P. A. 109 116 274
Gosset, Thorold x xi 144 150—153 162—164 202—204 210 211 259
Goursat, Edouard x 116 209 216 280—281 284 286
Graph 6 84—88 191—202 280-285
Grassmann, Robert 141
Great dodecahedron {5, }, Great icosahedron {3, }, and Great stellated dodecahedron {} 3 96—98 100
Great stellated triacontahedron 102—103
Group 41 (see also Abstract Alternating Cyclic Dihedral Icosahedral Infinite Octahedral Orthogonal Polyhedral Rotation Space Symmetric Symmetry Symplectic Tetrahedral Trigonal Unimodular)
Groups generated by reflections x 196 280 285 297
Hay, R. J. 63
Hadwiger, H. 251—252 261
Haeckel, Ernst 13
Half-measure polytope 155—156 158
Half-turn 34 36
Hamilton, Sir W. R. 7 14 55 56 309
Haussner, Robert 94 96 114
Heath, Sir T. L. 13 30 92 114 115
Heawood, P. J. 14
Hedrick, E. R. 310
Helical polygon 45 91
Heptagon {7} 114
Hermes, Oswald 14
Heron of Alexandria 30
Herschel, A. S. 8
Hess, Edmund x 31 56 73 74 92 115—117 263 286 287
Hessel, J. F. C. 57 116 286
Hessenberg, Gerhard 186
Hexagon {6} 1 277
Hilton, Harold 37
Hinton, C. H. 119 236 258
Hinton, James 258
Hirsch, Meier 31
Honeycomb 58 68 122 127 171—172 264 288 296
Hoppe, Reinholdix 144 165
Houdini, Harry 119
Humphreys, W. J. 1
Hurwitz, Adolf 164
Hyper-cube 118 237
Hyper-sphere see Sphere
Hyperbolic geometry xi 109 171
Hypergeometric functions 142
Hyperplane 120
Hypsicles 30
Icosagon {20} 287
Icosahedral group 47—50 98
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