Ex Libris                        Wanted                           
blank

       
blank

blank
blank
blank
blank
Coxeter H.S.M. Regular Polytopes
Coxeter H.S.M.  Regular Polytopes







?
Ctrl+Enter


: Regular Polytopes

: Coxeter H.S.M.

: en

: /

:

ed2k: ed2k stats

: 1948

: 321

: 25.06.2008

: | | ID
blank
$d_{p,q,r}$      273 (see also Density)
$d_{p,q}$      102105
$d_{p}$      94
$g_{p,q,...w}$      130133 141144 149 153 232 290
$g_{p,q}$      82 91
$h\Pi_{n}$      155 201
$N_{1}$, $N_{01}$, etc.      12 132
$z^{1}$, $z^{2}$,...      176178 183185 190 193194 205 208 212
$\nu_{0}$, $\nu_{1}$, etc.      58 291
$\tau$      22
$_{0}R$, $_{1}R$, etc.      see Radii
120-cell {5,3,3}      153 157 162 240 269 292
16-cell $\beta_{4}$={3,3,4}      121122 129 136 149 244 254 292
24-cell {3,4,3}      148154 245247 270272 289 292
600-cell {3,3,5}      153 157 163 167 239 247249 200 270272 292
a-form      175178
Abbott, E.A.      119 236
Abel, N.H.      55 311
Abstract group      41 43 80
Abul Wafa      73
Acute rhombohedron      26
Adjoint      177
Affine coordinates      180184 189 213 218219
Affine geometry      2728
Alexandroff, A.D.      28
Algebra      167178
Alice through the looking-glass      75
Alternating group      43 48 106
Alternation      11 154156 201
Analogy      118124
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 {$\infty$}      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 k-chain      168171
Bradwardinus      114
Brahaxa, H.R.      11
Branch of a graph      6
Brauer, Richard      xi 262
Bravais, Auguste      44 56
Bredwardin      114
Brewster, Sir David      92
Brueckner, Max      16 21 26 31 74 115 117 240
Burckhardt, J.J.      xi 28 50 205
Burnside, William      164 210
Calculus, integral      xi 125 144
Cartan, Elie      209 211212
Cartesian coordinates      2 3 5253 63 70 119 122 127 133 156158 205 214216 239240 245247
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 225226 234 238 274275
Centre      2 130
Cesaro, Ernesto      128 132 144 148 150 162
Cesaro, Giuseppe (Ernestos brother)      74
Chain      167171
Characteristic equation      214216 219221 225
Characteristic root      214216 220
Characteristic simplex      137141 199
Characteristic tetrahedron      71 282287 290
Characteristic triangle      24 31 66 109111 290
Characteristic vector      214216
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 150151
Collineation      213
Colunar triangles      112
Commutative law      39
complex numbers      3 64 214216
Compound      47 6061 95100 149150 268272 287288 305
Cone      255
Configuration      12 130 210211
Congruent transformation      33 213218
conjugate      42 81 8586 208
Connected form      175
Connected graph      6
Connectivity      9
Content      123127 141 161 183 273 293 295
Continued fraction      134 160
Continuous group      44 204 211212
Contra variant      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 209211 234 262 263 270 286288
Crosby, W.J.R.      185 274
cross      121 251
Cross polytope $\beta_{n}$      121122 129 136 145 149 225 244 245 254 294
Crystal      ix 13 31 74
Crystal classes      56
Crystal twin      56
Crystallographic restriction      63
Crystallographic solids      289
Cube $\gamma_{3}$={4,3}      5 152 236 298
Cubic honeycomb $\delta_{n+1}$      123 136 145 156 181 296
Cubic 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
Decagon {10}, and Decagram {$\frac{10}{3}$}      277
Definite form      173174 184 189 193
Degenerate polyhedron      61
Degenerate polytope      123
Del Pezzo, P.      211
density      94 102105 263 266 273 282287 290
Desargues, Girard      14
Descartes, Rene      23 31 59
Determinant, (j,k)      160 273
Determinant, Schlaeflis      134 161 199
Dicksox, L.E.      164
Digon {2}      4
Dihedral angle      22 61 133 136141 154 273 281284 293 295
Dihedral group [p]      46 54 62 77 188 195 222
Dihedral kaleidoscope      76
Dihedron {p,2}      12 46 67
Dipyramid      5 121
Direct product      42 44 78 188
Direct transformation      33 213
Dirichlet, P.G.L.      142
Discrete      44 76
Disphenoid      15 (see also Rhombic Tetragonal)
Displacement      33 213218
Dodecagon {12}      1 246 287
Dodecagram {$\frac{12}{5}$}      287
Dodecahedron {5,3}      ix 6 4953 88 96 100 237 298300 Rhombic)
Donchian, P.S.      xi xix 242243 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
Duerer, Albrecht      13
Dunne, J.W.      119 260
Dupins indicatrix      15
Dyck, Walther      92
EDGE      4 120 127
Einstein, Albert      186
Elements $\Pi_{j}$      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 {h}      18 90 275278
Equilateral zonohedra      2829
Equivalent points      76
Etruscan dodecahedron      13
Euclid of Megara      ix 1 13 30
Euclidean geometry      119 171 235
Euler, Leonhard      55 166 311
Eulers formula      9 58 104 114 132 165172 203204 232 263 273
Eulers function      94
Eulers theorem on rotations      37
Eutactic star      251257 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 98100 267270 302304
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      4950 98100 303 304
Five tetrahedra      49 98100
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      118123 141 258
Franklin, C.H.H.      29
Free product      75
Frontispiece      243 249 286
Function      40 (see also Bessel Elliptic Eulers Gamma Hypergeometric Schlaefli)
Fundamental region      63 7687 188 194197 200 205212 297
Galois, Evariste      55
Gamma function      125
Garnet      31
Gauss, C.F.      14
Gaussian integers      64 164 211
Generalized kaleidoscope      187212
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 150153 162164 202204 210 211 259
Goursat, Edouard      x 116 209 216 280281 284 286
Graph      6 8488 191202 280285
Grassmann, Robert      141
Great dodecahedron {5,$\frac{5}{2}$}, Great icosahedron {3,$\frac{5}{2}$}, and Great stellated dodecahedron {$\frac{5}{2}$,3}      9698 100
Great stellated triacontahedron      102103
Group      41 (see also Abstract Alternating Cyclic Dihedral Icosahedral Infinite Octahedral Orthogonal Polyhedral Rotation Space Symmetric Symmetry Symplectic Tetrahedral Trigonal Unimodular)
Groups generated bv reflections      x 196 280 285 297
H      15 19 61 67 73 91 102 108109 221 225234 243 278
Hadwiger, H.      251252 261
Haeckel, Ernst      13
Half-measure polytope $h\gamma_{n}$      155156 158
Half-turn      34 36
Hamilton, Sir W.R.      7 14 55 56 309
Hauey, R.J.      63
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 115117 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 171172 264 288 296
Hoppe, Reinhold      ix 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      4750 98
Icosahedron {3,5}      5 52 88 97 117 237 251 298 300
1 2 3
blank
blank
blank
HR
@Mail.ru
       © , 2004-2020
   | Valid HTML 4.01! | Valid CSS!