include("/home/bitnami/htdocs/websites/abstract-polytopes/www/subs.php"); ?>
The Atlas of Small Regular Polytopes
This atlas contains information about all regular polytopes with n
flags
where n is at most 2000, and not equal to 1024 or 1536
Feel free to browse!
Polytopes of :
- Rank 1 - 1 nondegenerate and 0 degenerate polytopes
- Rank 2 - 996 nondegenerate and 1 degenerate polytopes
- Rank 3 - 5946 nondegenerate and 993 degenerate polytopes
- Rank 4 - 2912 nondegenerate and 6336 degenerate polytopes
- Rank 5 - 352 nondegenerate and 8599 degenerate polytopes
- Rank 6 - 2 nondegenerate and 6119 degenerate polytopes
- Rank 7 - 0 nondegenerate and 2812 degenerate polytopes
- Rank 8 - 0 nondegenerate and 797 degenerate polytopes
- Rank 9 - 0 nondegenerate and 108 degenerate polytopes
Automorphism Groups of Size :
2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 | 30 | 32 | 34 | 36 | 38 | 40 | 42 | 44 | 46 | 48 | 50 | 52 | 54 | 56 | 58 | 60 | 62 | 64 | 66 | 68 | 70 | 72 | 74 | 76 | 78 | 80 | 82 | 84 | 86 | 88 | 90 | 92 | 94 | 96 | 98 | 100 | 102 | 104 | 106 | 108 | 110 | 112 | 114 | 116 | 118 | 120 | 122 | 124 | 126 | 128 | 130 | 132 | 134 | 136 | 138 | 140 | 142 | 144 | 146 | 148 | 150 | 152 | 154 | 156 | 158 | 160 | 162 | 164 | 166 | 168 | 170 | 172 | 174 | 176 | 178 | 180 | 182 | 184 | 186 | 188 | 190 | 192 | 194 | 196 | 198 | 200 | 202 | 204 | 206 | 208 | 210 | 212 | 214 | 216 | 218 | 220 | 222 | 224 | 226 | 228 | 230 | 232 | 234 | 236 | 238 | 240 | 242 | 244 | 246 | 248 | 250 | 252 | 254 | 256 | 258 | 260 | 262 | 264 | 266 | 268 | 270 | 272 | 274 | 276 | 278 | 280 | 282 | 284 | 286 | 288 | 290 | 292 | 294 | 296 | 298 | 300 | 302 | 304 | 306 | 308 | 310 | 312 | 314 | 316 | 318 | 320 | 322 | 324 | 326 | 328 | 330 | 332 | 334 | 336 | 338 | 340 | 342 | 344 | 346 | 348 | 350 | 352 | 354 | 356 | 358 | 360 | 362 | 364 | 366 | 368 | 370 | 372 | 374 | 376 | 378 | 380 | 382 | 384 | 386 | 388 | 390 | 392 | 394 | 396 | 398 | 400 | 402 | 404 | 406 | 408 | 410 | 412 | 414 | 416 | 418 | 420 | 422 | 424 | 426 | 428 | 430 | 432 | 434 | 436 | 438 | 440 | 442 | 444 | 446 | 448 | 450 | 452 | 454 | 456 | 458 | 460 | 462 | 464 | 466 | 468 | 470 | 472 | 474 | 476 | 478 | 480 | 482 | 484 | 486 | 488 | 490 | 492 | 494 | 496 | 498 | 500 | 502 | 504 | 506 | 508 | 510 | 512 | 514 | 516 | 518 | 520 | 522 | 524 | 526 | 528 | 530 | 532 | 534 | 536 | 538 | 540 | 542 | 544 | 546 | 548 | 550 | 552 | 554 | 556 | 558 | 560 | 562 | 564 | 566 | 568 | 570 | 572 | 574 | 576 | 578 | 580 | 582 | 584 | 586 | 588 | 590 | 592 | 594 | 596 | 598 | 600 | 602 | 604 | 606 | 608 | 610 | 612 | 614 | 616 | 618 | 620 | 622 | 624 | 626 | 628 | 630 | 632 | 634 | 636 | 638 | 640 | 642 | 644 | 646 | 648 | 650 | 652 | 654 | 656 | 658 | 660 | 662 | 664 | 666 | 668 | 670 | 672 | 674 | 676 | 678 | 680 | 682 | 684 | 686 | 688 | 690 | 692 | 694 | 696 | 698 | 700 | 702 | 704 | 706 | 708 | 710 | 712 | 714 | 716 | 718 | 720 | 722 | 724 | 726 | 728 | 730 | 732 | 734 | 736 | 738 | 740 | 742 | 744 | 746 | 748 | 750 | 752 | 754 | 756 | 758 | 760 | 762 | 764 | 766 | 768 | 770 | 772 | 774 | 776 | 778 | 780 | 782 | 784 | 786 | 788 | 790 | 792 | 794 | 796 | 798 | 800 | 802 | 804 | 806 | 808 | 810 | 812 | 814 | 816 | 818 | 820 | 822 | 824 | 826 | 828 | 830 | 832 | 834 | 836 | 838 | 840 | 842 | 844 | 846 | 848 | 850 | 852 | 854 | 856 | 858 | 860 | 862 | 864 | 866 | 868 | 870 | 872 | 874 | 876 | 878 | 880 | 882 | 884 | 886 | 888 | 890 | 892 | 894 | 896 | 898 | 900 | 902 | 904 | 906 | 908 | 910 | 912 | 914 | 916 | 918 | 920 | 922 | 924 | 926 | 928 | 930 | 932 | 934 | 936 | 938 | 940 | 942 | 944 | 946 | 948 | 950 | 952 | 954 | 956 | 958 | 960 | 962 | 964 | 966 | 968 | 970 | 972 | 974 | 976 | 978 | 980 | 982 | 984 | 986 | 988 | 990 | 992 | 994 | 996 | 998 | 1000 | 1002 | 1004 | 1006 | 1008 | 1010 | 1012 | 1014 | 1016 | 1018 | 1020 | 1022 | 1026 | 1028 | 1030 | 1032 | 1034 | 1036 | 1038 | 1040 | 1042 | 1044 | 1046 | 1048 | 1050 | 1052 | 1054 | 1056 | 1058 | 1060 | 1062 | 1064 | 1066 | 1068 | 1070 | 1072 | 1074 | 1076 | 1078 | 1080 | 1082 | 1084 | 1086 | 1088 | 1090 | 1092 | 1094 | 1096 | 1098 | 1100 | 1102 | 1104 | 1106 | 1108 | 1110 | 1112 | 1114 | 1116 | 1118 | 1120 | 1122 | 1124 | 1126 | 1128 | 1130 | 1132 | 1134 | 1136 | 1138 | 1140 | 1142 | 1144 | 1146 | 1148 | 1150 | 1152 | 1154 | 1156 | 1158 | 1160 | 1162 | 1164 | 1166 | 1168 | 1170 | 1172 | 1174 | 1176 | 1178 | 1180 | 1182 | 1184 | 1186 | 1188 | 1190 | 1192 | 1194 | 1196 | 1198 | 1200 | 1202 | 1204 | 1206 | 1208 | 1210 | 1212 | 1214 | 1216 | 1218 | 1220 | 1222 | 1224 | 1226 | 1228 | 1230 | 1232 | 1234 | 1236 | 1238 | 1240 | 1242 | 1244 | 1246 | 1248 | 1250 | 1252 | 1254 | 1256 | 1258 | 1260 | 1262 | 1264 | 1266 | 1268 | 1270 | 1272 | 1274 | 1276 | 1278 | 1280 | 1282 | 1284 | 1286 | 1288 | 1290 | 1292 | 1294 | 1296 | 1298 | 1300 | 1302 | 1304 | 1306 | 1308 | 1310 | 1312 | 1314 | 1316 | 1318 | 1320 | 1322 | 1324 | 1326 | 1328 | 1330 | 1332 | 1334 | 1336 | 1338 | 1340 | 1342 | 1344 | 1346 | 1348 | 1350 | 1352 | 1354 | 1356 | 1358 | 1360 | 1362 | 1364 | 1366 | 1368 | 1370 | 1372 | 1374 | 1376 | 1378 | 1380 | 1382 | 1384 | 1386 | 1388 | 1390 | 1392 | 1394 | 1396 | 1398 | 1400 | 1402 | 1404 | 1406 | 1408 | 1410 | 1412 | 1414 | 1416 | 1418 | 1420 | 1422 | 1424 | 1426 | 1428 | 1430 | 1432 | 1434 | 1436 | 1438 | 1440 | 1442 | 1444 | 1446 | 1448 | 1450 | 1452 | 1454 | 1456 | 1458 | 1460 | 1462 | 1464 | 1466 | 1468 | 1470 | 1472 | 1474 | 1476 | 1478 | 1480 | 1482 | 1484 | 1486 | 1488 | 1490 | 1492 | 1494 | 1496 | 1498 | 1500 | 1502 | 1504 | 1506 | 1508 | 1510 | 1512 | 1514 | 1516 | 1518 | 1520 | 1522 | 1524 | 1526 | 1528 | 1530 | 1532 | 1534 | 1538 | 1540 | 1542 | 1544 | 1546 | 1548 | 1550 | 1552 | 1554 | 1556 | 1558 | 1560 | 1562 | 1564 | 1566 | 1568 | 1570 | 1572 | 1574 | 1576 | 1578 | 1580 | 1582 | 1584 | 1586 | 1588 | 1590 | 1592 | 1594 | 1596 | 1598 | 1600 | 1602 | 1604 | 1606 | 1608 | 1610 | 1612 | 1614 | 1616 | 1618 | 1620 | 1622 | 1624 | 1626 | 1628 | 1630 | 1632 | 1634 | 1636 | 1638 | 1640 | 1642 | 1644 | 1646 | 1648 | 1650 | 1652 | 1654 | 1656 | 1658 | 1660 | 1662 | 1664 | 1666 | 1668 | 1670 | 1672 | 1674 | 1676 | 1678 | 1680 | 1682 | 1684 | 1686 | 1688 | 1690 | 1692 | 1694 | 1696 | 1698 | 1700 | 1702 | 1704 | 1706 | 1708 | 1710 | 1712 | 1714 | 1716 | 1718 | 1720 | 1722 | 1724 | 1726 | 1728 | 1730 | 1732 | 1734 | 1736 | 1738 | 1740 | 1742 | 1744 | 1746 | 1748 | 1750 | 1752 | 1754 | 1756 | 1758 | 1760 | 1762 | 1764 | 1766 | 1768 | 1770 | 1772 | 1774 | 1776 | 1778 | 1780 | 1782 | 1784 | 1786 | 1788 | 1790 | 1792 | 1794 | 1796 | 1798 | 1800 | 1802 | 1804 | 1806 | 1808 | 1810 | 1812 | 1814 | 1816 | 1818 | 1820 | 1822 | 1824 | 1826 | 1828 | 1830 | 1832 | 1834 | 1836 | 1838 | 1840 | 1842 | 1844 | 1846 | 1848 | 1850 | 1852 | 1854 | 1856 | 1858 | 1860 | 1862 | 1864 | 1866 | 1868 | 1870 | 1872 | 1874 | 1876 | 1878 | 1880 | 1882 | 1884 | 1886 | 1888 | 1890 | 1892 | 1894 | 1896 | 1898 | 1900 | 1902 | 1904 | 1906 | 1908 | 1910 | 1912 | 1914 | 1916 | 1918 | 1920 | 1922 | 1924 | 1926 | 1928 | 1930 | 1932 | 1934 | 1936 | 1938 | 1940 | 1942 | 1944 | 1946 | 1948 | 1950 | 1952 | 1954 | 1956 | 1958 | 1960 | 1962 | 1964 | 1966 | 1968 | 1970 | 1972 | 1974 | 1976 | 1978 | 1980 | 1982 | 1984 | 1986 | 1988 | 1990 | 1992 | 1994 | 1996 | 1998 | 2000 That's all, folks!