Knowledge (XXG)

:WikiProject Uniform Polytopes - Knowledge (XXG)

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179: 21: 83: 1126: 1121: 1116: 786: 66: 40: 1064: 1163: 1059: 71: 61: 32: 1090: 309:) - I referenced all the wiki articles I know related to this topic, still quite unsure what the immediate goals for this project should be. 1138: 1075: 1070: 733: 1143: 334: 654: 922: 171: 1085: 131: 161: 151: 141: 121: 111: 576: 1158: 1014: 980: 792: 166: 156: 146: 136: 126: 116: 638: 1080: 1043: 274:
All links to Richard Klitzing's site have to be updated as the address moved from ogre.nu to bendwavy.org in January 2011.
689: 1105: 1100: 52: 449: 321:- I will usually stick to the polychora, polytera, and polypeta but may sometimes venture out into higher dimensions. 254: 103: 1110: 1002: 394: 910: 563: 412: 265:. Most of the remaining nonwythoffian forms are generated by operational modifications on the reflective forms. 775: 522: 51:
If you are not currently a project participant and wish to help you may still participate in the project. This
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symmetry families. These are called Wythoffian, being generated by reflection symmetry called a
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User:Double sharp/List of uniform polychora by Goursat tetrahedron
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User:Double sharp/List of uniform tilings by Schwarz triangle
209: 202: 253:. Uniform polytopes are (nearly all) identified by 867:who have worked on regular and uniform polytopes: 1117:List of uniform polyhedra by Schwarz triangle 787:Convex uniform honeycombs in hyperbolic_space 290:- started with list of polytopes by dimension 8: 226:! A uniform polytope is an extension to the 1113:(these three give lists with full names) 1065:User:Tomruen/Uniform operator conversion 862: 583: 1139:Knowledge (XXG):WikiProject Mathematics 789:(hyperbolic, infinite, uniform, convex) 1060:User:Tomruen/list of uniform polychora 1144:Knowledge (XXG):WikiProject Polyhedra 1091:User:Tomruen/Convex_uniform_tetracomb 337:, I'll translate articles to Spanish. 7: 249:Regular polytopes are identified by 1076:User:Tomruen/Uniform polyteron verf 1071:User:Tomruen/List of Coxeter groups 734:Uniform tilings in hyperbolic plane 72:Dealing with inactive WikiProjects 55:if collaborative activity resumes. 14: 655:List of spherical symmetry groups 182:Uniform operators on the regular 1086:User:Tomruen/Gosset-Elte figures 169: 164: 159: 154: 149: 144: 139: 134: 129: 124: 119: 114: 109: 19: 577:Alternated hypercubic honeycomb 793:Paracompact uniform honeycombs 1: 1164:WikiProject Uniform Polytopes 1081:Talk:Vertex_figure/polychoron 284:Create a template navigator: 220:WikiProject Uniform Polytopes 767:(uniform, prismatic, convex) 690:Prismatic uniform polyhedron 588:/tessellations by dimension 1106:User:Double sharp/Polychora 1101:User:Double sharp/Polyhedra 778:(infinite, uniform, convex) 1180: 1111:User:Double sharp/Polytera 1003:Michael S. Longuet-Higgins 870: 783:Hyperbolic tessellations: 755:(regular, convex and star) 730:Hyperbolic tessellations: 591: 395:Conway polyhedron notation 192: 776:Convex uniform honeycombs 639:Kepler–Poinsot_polyhedron 564:Semiregular k 21 polytope 413:List of regular polytopes 67:Directory of WikiProjects 1067:- Johnson vs Bower names 53:status should be changed 1096:User:Tomruen/References 724:List of uniform tilings 684:Uniform star polyhedron 678:(Uniform duals, convex) 255:Coxeter–Dynkin diagrams 43:for help or ask at the 939:Pieter Hendrik Schoute 911:Eugène Charles Catalan 671:Semiregular polyhedron 450:Coxeter–Dynkin diagram 190: 175: 104:Coxeter–Dynkin diagram 1159:Inactive WikiProjects 686:(uniform, nonconvex) 651:(regular, degenerate) 572:Uniform_1_k2_polytope 568:Uniform_2_k1_polytope 335:WikiProject Polyhedra 181: 100:orthogonal projection 85: 62:Guide to WikiProjects 39:Consider looking for 1133:Related WikiProjects 969:D. M. Y. Sommerville 848:Uniform 10-polytopes 641:(regular, nonconvex) 514:Vertex configuration 492:Wythoff construction 435:Hypercubic honeycomb 386:Euler characteristic 263:Wythoff construction 868: 842:Uniform 9-polytopes 836:Uniform 8-polytopes 830:Uniform 7-polytopes 629:Regular polyhedra: 589: 467:Goursat tetrahedron 315:- i'm here to help! 94:, shown inside its 1021:John Horton Conway 945:Alicia Boole Stott 863: 822:Uniform 6-polytope 808:Uniform 5-polytope 761:(uniform, convex) 759:Uniform 4-polytope 753:Regular 4-polytope 669:(uniform, convex) 662:Uniform polyhedron 584: 518:Face configuration 471:density (polytope) 444:Uniform polyhedron 288:Template:Polytopes 191: 176: 31:is believed to be 1051: 1050: 981:H. S. M. Coxeter 856: 855: 824:(uniform, convex) 810:(uniform, convex) 667:Archimedean solid 635:(regular, convex) 586:Uniform polytopes 476:Vertex-transitive 240:vertex transitive 238:polytopes, being 228:regular polytopes 224:uniform polytopes 102:, defined by its 80: 79: 1171: 1032:George Olshevsky 997:Magnus Wenninger 963:Alfredo Andreini 869: 694:Prism (geometry) 590: 509:Uniform coloring 501:Schlegel diagram 463:Schwarz triangle 408:Regular polytope 327: 251:Schläfli symbols 212: 205: 174: 173: 172: 168: 167: 163: 162: 158: 157: 153: 152: 148: 147: 143: 142: 138: 137: 133: 132: 128: 127: 123: 122: 118: 117: 113: 112: 41:related projects 23: 16: 1179: 1178: 1174: 1173: 1172: 1170: 1169: 1168: 1149: 1148: 1135: 1056: 1027:Keith Critchlow 1015:Norman Johnson 1009:Branko Grünbaum 987:J. C. P. Miller 923:Joseph Bertrand 905:Ludwig Schläfli 887:Johannes Kepler 861: 772:Tessellations: 749:/3-honeycombs: 715:Tessellations: 611:Tessellations: 607:Star polyhedron 602:Regular polygon 488:Cell-transitive 484:Face-transitive 480:Edge-transitive 418:Schläfli symbol 399:Chiral polytope 391:Dual polyhedron 344: 325: 299: 281: 271: 244:regular polygon 216: 215: 208: 201: 197: 170: 165: 160: 155: 150: 145: 140: 135: 130: 125: 120: 115: 110: 108: 91: 76: 56: 12: 11: 5: 1177: 1175: 1167: 1166: 1161: 1151: 1150: 1147: 1146: 1141: 1134: 1131: 1130: 1129: 1124: 1119: 1114: 1108: 1103: 1098: 1093: 1088: 1083: 1078: 1073: 1068: 1062: 1055: 1052: 1049: 1048: 1047: 1046: 1041: 1038:George W. Hart 1035: 1029: 1024: 1018: 1012: 1006: 1000: 992: 991: 990: 984: 978: 972: 966: 960: 957:Thorold Gosset 954: 948: 942: 934: 933: 932: 926: 920: 914: 908: 902: 896: 893:Leonhard Euler 890: 884: 878: 860: 857: 854: 853: 852: 851: 845: 839: 833: 827: 826: 825: 813: 812: 811: 799: 798: 797: 796: 795: 790: 781: 780: 779: 770: 769: 768: 756: 742: 741: 740: 739: 738: 737: 736: 728: 727: 726: 721: 719:Uniform tiling 713: 703: 702: 701: 681: 680: 679: 673: 659: 658: 657: 652: 642: 636: 633:Platonic_solid 621: 620: 619: 618: 617: 609: 604: 582: 581: 580: 579: 574: 557: 520: 511: 505:Polyhedral net 497:Petrie polygon 494: 473: 460: 454:Wythoff symbol 440: 439: 438: 437: 420: 415: 404: 403: 402: 401: 388: 343: 340: 339: 338: 322: 316: 310: 298: 295: 294: 293: 292: 291: 280: 277: 276: 275: 270: 267: 257:, existing in 214: 213: 206: 198: 193: 107: 96:Petrie polygon 89: 78: 77: 75: 74: 69: 64: 58: 57: 50: 38: 37: 24: 13: 10: 9: 6: 4: 3: 2: 1176: 1165: 1162: 1160: 1157: 1156: 1154: 1145: 1142: 1140: 1137: 1136: 1132: 1128: 1125: 1123: 1120: 1118: 1115: 1112: 1109: 1107: 1104: 1102: 1099: 1097: 1094: 1092: 1089: 1087: 1084: 1082: 1079: 1077: 1074: 1072: 1069: 1066: 1063: 1061: 1058: 1057: 1054:Related pages 1053: 1045: 1044:Jeffrey Weeks 1042: 1039: 1036: 1033: 1030: 1028: 1025: 1022: 1019: 1016: 1013: 1010: 1007: 1004: 1001: 998: 995: 994: 993: 988: 985: 982: 979: 976: 973: 970: 967: 964: 961: 958: 955: 952: 951:W. A. Wythoff 949: 946: 943: 940: 937: 936: 935: 930: 927: 924: 921: 918: 917:Arthur Cayley 915: 912: 909: 906: 903: 900: 899:Louis Poinsot 897: 894: 891: 888: 885: 882: 879: 876: 873: 872: 871: 866: 858: 849: 846: 843: 840: 837: 834: 831: 828: 823: 820: 819: 817: 814: 809: 806: 805: 803: 800: 794: 791: 788: 785: 784: 782: 777: 774: 773: 771: 766: 763: 762: 760: 757: 754: 751: 750: 748: 745: 744: 743: 735: 732: 731: 729: 725: 722: 720: 717: 716: 714: 712: 711:Trapezohedron 708: 704: 699: 695: 691: 688: 687: 685: 682: 677: 676:Catalan solid 674: 672: 668: 665: 664: 663: 660: 656: 653: 650: 646: 643: 640: 637: 634: 631: 630: 628: 627: 625: 622: 616: 613: 612: 610: 608: 605: 603: 600: 599: 597: 594: 593: 592: 587: 578: 575: 573: 569: 565: 561: 560:demihypercube 558: 556: 552: 548: 544: 540: 536: 532: 528: 524: 523:Rectification 521: 519: 515: 512: 510: 506: 502: 498: 495: 493: 489: 485: 481: 477: 474: 472: 468: 464: 461: 459: 458:Vertex figure 455: 451: 448: 447: 446:terminology: 445: 442: 441: 436: 432: 428: 424: 421: 419: 416: 414: 411: 410: 409: 406: 405: 400: 396: 392: 389: 387: 383: 379: 375: 371: 367: 363: 359: 355: 352: 351: 350:terminology: 349: 346: 345: 341: 336: 332: 328: 323: 320: 317: 314: 311: 308: 304: 301: 300: 296: 289: 286: 285: 283: 282: 278: 273: 272: 268: 266: 264: 260: 259:Coxeter group 256: 252: 247: 245: 242:, and having 241: 237: 233: 229: 225: 221: 211: 207: 204: 200: 199: 196: 189: 185: 180: 105: 101: 97: 93: 84: 73: 70: 68: 65: 63: 60: 59: 54: 48: 47: 42: 36: 34: 30: 25: 22: 18: 17: 975:M. C. Escher 883:(287–212 BC) 877:(428–348 BC) 626:/2-tilings: 547:Pentellation 535:Cantellation 531:Bitruncation 333:) – As with 319:Double sharp 248: 235: 231: 230:, including 219: 217: 86:The uniform 44: 26: 989:(1906–1981) 983:(1907–2003) 977:(1898–1972) 971:(1879–1934) 965:(1870–1943) 959:(1869–1962) 953:(1865–1939) 947:(1860–1940) 941:(1846–1923) 931:(1843–1903) 929:Edmund Hess 925:(1822–1900) 919:(1821–1895) 913:(1814–1894) 907:(1814–1895) 901:(1777–1859) 895:(1707–1783) 889:(1571–1630) 816:6-polytopes 802:5-polytopes 747:4-polytopes 700:(prismatic) 624:3-polytopes 596:2-polytopes 543:Sterication 539:Runcination 326:OfficialURL 313:Mateus Zica 236:semiregular 218:Welcome to 29:WikiProject 1153:Categories 881:Archimedes 645:Hosohedron 527:Truncation 188:octahedron 865:Geometers 859:Geometers 707:Bipyramid 698:Antiprism 615:Apeirogon 551:Expansion 431:Orthoplex 427:Hypercube 370:Hypercell 203:WP:CHORON 195:Shortcuts 850:(convex) 844:(convex) 838:(convex) 832:(convex) 765:Duoprism 649:Dihedron 348:Polytope 342:Articles 303:Tom Ruen 210:WP:4TOPE 92:polytope 46:Teahouse 33:inactive 1040:(1955–) 1034:(1946–) 1023:(1937–) 1017:(1930–) 1011:(1929–) 1005:(1925–) 999:(1919–) 423:Simplex 297:Members 246:faces. 232:regular 705:Duals 354:Vertex 98:as an 27:This 875:Plato 382:Facet 378:Ridge 279:Tasks 696:and 647:and 555:Snub 374:Peak 366:Cell 362:Face 358:Edge 331:talk 307:talk 269:News 234:and 186:and 184:cube 1155:: 818:: 804:: 709:, 692:, 598:: 570:, 566:, 562:, 553:, 549:, 545:, 541:, 537:, 533:, 529:, 525:, 516:, 507:, 503:, 499:, 490:, 486:, 482:, 478:, 469:, 465:, 456:, 452:, 433:, 429:, 425:, 397:, 393:, 384:, 380:, 376:, 372:, 368:, 364:, 360:, 356:, 90:21 329:( 305:( 106:: 88:4 49:. 35:.

Index


WikiProject
inactive
related projects
Teahouse
status should be changed
Guide to WikiProjects
Directory of WikiProjects
Dealing with inactive WikiProjects

421 polytope
Petrie polygon
orthogonal projection
Coxeter–Dynkin diagram

cube
octahedron
Shortcuts
WP:CHORON
WP:4TOPE
uniform polytopes
regular polytopes
vertex transitive
regular polygon
Schläfli symbols
Coxeter–Dynkin diagrams
Coxeter group
Wythoff construction
Template:Polytopes
Tom Ruen

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