Polytope of Type {2}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {2}*4
if this polytope has a name.
Group : SmallGroup(4,2)
Rank : 2
Schlafli Type : {2}
Number of vertices, edges, etc : 2, 2
Order of s0s1 : 2
Special Properties :
   Degenerate
   Universal
   Spherical
   Locally Spherical
   Orientable
   Flat
   Self-Dual
Related Polytopes :
   Facet
   Vertex Figure
   Dual
Facet Of :
   {2,2} of size 8
   {2,3} of size 12
   {2,4} of size 16
   {2,5} of size 20
   {2,6} of size 24
   {2,7} of size 28
   {2,8} of size 32
   {2,9} of size 36
   {2,10} of size 40
   {2,11} of size 44
   {2,12} of size 48
   {2,13} of size 52
   {2,14} of size 56
   {2,15} of size 60
   {2,16} of size 64
   {2,17} of size 68
   {2,18} of size 72
   {2,19} of size 76
   {2,20} of size 80
   {2,21} of size 84
   {2,22} of size 88
   {2,23} of size 92
   {2,24} of size 96
   {2,25} of size 100
   {2,26} of size 104
   {2,27} of size 108
   {2,28} of size 112
   {2,29} of size 116
   {2,30} of size 120
   {2,31} of size 124
   {2,32} of size 128
   {2,33} of size 132
   {2,34} of size 136
   {2,35} of size 140
   {2,36} of size 144
   {2,37} of size 148
   {2,38} of size 152
   {2,39} of size 156
   {2,40} of size 160
   {2,41} of size 164
   {2,42} of size 168
   {2,43} of size 172
   {2,44} of size 176
   {2,45} of size 180
   {2,46} of size 184
   {2,47} of size 188
   {2,48} of size 192
   {2,49} of size 196
   {2,50} of size 200
   {2,51} of size 204
   {2,52} of size 208
   {2,53} of size 212
   {2,54} of size 216
   {2,55} of size 220
   {2,56} of size 224
   {2,57} of size 228
   {2,58} of size 232
   {2,59} of size 236
   {2,60} of size 240
   {2,61} of size 244
   {2,62} of size 248
   {2,63} of size 252
   {2,64} of size 256
   {2,65} of size 260
   {2,66} of size 264
   {2,67} of size 268
   {2,68} of size 272
   {2,69} of size 276
   {2,70} of size 280
   {2,71} of size 284
   {2,72} of size 288
   {2,73} of size 292
   {2,74} of size 296
   {2,75} of size 300
   {2,76} of size 304
   {2,77} of size 308
   {2,78} of size 312
   {2,79} of size 316
   {2,80} of size 320
   {2,81} of size 324
   {2,82} of size 328
   {2,83} of size 332
   {2,84} of size 336
   {2,85} of size 340
   {2,86} of size 344
   {2,87} of size 348
   {2,88} of size 352
   {2,89} of size 356
   {2,90} of size 360
   {2,91} of size 364
   {2,92} of size 368
   {2,93} of size 372
   {2,94} of size 376
   {2,95} of size 380
   {2,96} of size 384
   {2,97} of size 388
   {2,98} of size 392
   {2,99} of size 396
   {2,100} of size 400
   {2,101} of size 404
   {2,102} of size 408
   {2,103} of size 412
   {2,104} of size 416
   {2,105} of size 420
   {2,106} of size 424
   {2,107} of size 428
   {2,108} of size 432
   {2,109} of size 436
   {2,110} of size 440
   {2,111} of size 444
   {2,112} of size 448
   {2,113} of size 452
   {2,114} of size 456
   {2,115} of size 460
   {2,116} of size 464
   {2,117} of size 468
   {2,118} of size 472
   {2,119} of size 476
   {2,120} of size 480
   {2,121} of size 484
   {2,122} of size 488
   {2,123} of size 492
   {2,124} of size 496
   {2,125} of size 500
   {2,126} of size 504
   {2,127} of size 508
   {2,128} of size 512
   {2,129} of size 516
   {2,130} of size 520
   {2,131} of size 524
   {2,132} of size 528
   {2,133} of size 532
   {2,134} of size 536
   {2,135} of size 540
   {2,136} of size 544
   {2,137} of size 548
   {2,138} of size 552
   {2,139} of size 556
   {2,140} of size 560
   {2,141} of size 564
   {2,142} of size 568
   {2,143} of size 572
   {2,144} of size 576
   {2,145} of size 580
   {2,146} of size 584
   {2,147} of size 588
   {2,148} of size 592
   {2,149} of size 596
   {2,150} of size 600
   {2,151} of size 604
   {2,152} of size 608
   {2,153} of size 612
   {2,154} of size 616
   {2,155} of size 620
   {2,156} of size 624
   {2,157} of size 628
   {2,158} of size 632
   {2,159} of size 636
   {2,160} of size 640
   {2,161} of size 644
   {2,162} of size 648
   {2,163} of size 652
   {2,164} of size 656
   {2,165} of size 660
   {2,166} of size 664
   {2,167} of size 668
   {2,168} of size 672
   {2,169} of size 676
   {2,170} of size 680
   {2,171} of size 684
   {2,172} of size 688
   {2,173} of size 692
   {2,174} of size 696
   {2,175} of size 700
   {2,176} of size 704
   {2,177} of size 708
   {2,178} of size 712
   {2,179} of size 716
   {2,180} of size 720
   {2,181} of size 724
   {2,182} of size 728
   {2,183} of size 732
   {2,184} of size 736
   {2,185} of size 740
   {2,186} of size 744
   {2,187} of size 748
   {2,188} of size 752
   {2,189} of size 756
   {2,190} of size 760
   {2,191} of size 764
   {2,192} of size 768
   {2,193} of size 772
   {2,194} of size 776
   {2,195} of size 780
   {2,196} of size 784
   {2,197} of size 788
   {2,198} of size 792
   {2,199} of size 796
   {2,200} of size 800
   {2,201} of size 804
   {2,202} of size 808
   {2,203} of size 812
   {2,204} of size 816
   {2,205} of size 820
   {2,206} of size 824
   {2,207} of size 828
   {2,208} of size 832
   {2,209} of size 836
   {2,210} of size 840
   {2,211} of size 844
   {2,212} of size 848
   {2,213} of size 852
   {2,214} of size 856
   {2,215} of size 860
   {2,216} of size 864
   {2,217} of size 868
   {2,218} of size 872
   {2,219} of size 876
   {2,220} of size 880
   {2,221} of size 884
   {2,222} of size 888
   {2,223} of size 892
   {2,224} of size 896
   {2,225} of size 900
   {2,226} of size 904
   {2,227} of size 908
   {2,228} of size 912
   {2,229} of size 916
   {2,230} of size 920
   {2,231} of size 924
   {2,232} of size 928
   {2,233} of size 932
   {2,234} of size 936
   {2,235} of size 940
   {2,236} of size 944
   {2,237} of size 948
   {2,238} of size 952
   {2,239} of size 956
   {2,240} of size 960
   {2,241} of size 964
   {2,242} of size 968
   {2,243} of size 972
   {2,244} of size 976
   {2,245} of size 980
   {2,246} of size 984
   {2,247} of size 988
   {2,248} of size 992
   {2,249} of size 996
   {2,250} of size 1000
   {2,251} of size 1004
   {2,252} of size 1008
   {2,253} of size 1012
   {2,254} of size 1016
   {2,255} of size 1020
   {2,257} of size 1028
   {2,258} of size 1032
   {2,259} of size 1036
   {2,260} of size 1040
   {2,261} of size 1044
   {2,262} of size 1048
   {2,263} of size 1052
   {2,264} of size 1056
   {2,265} of size 1060
   {2,266} of size 1064
   {2,267} of size 1068
   {2,268} of size 1072
   {2,269} of size 1076
   {2,270} of size 1080
   {2,271} of size 1084
   {2,272} of size 1088
   {2,273} of size 1092
   {2,274} of size 1096
   {2,275} of size 1100
   {2,276} of size 1104
   {2,277} of size 1108
   {2,278} of size 1112
   {2,279} of size 1116
   {2,280} of size 1120
   {2,281} of size 1124
   {2,282} of size 1128
   {2,283} of size 1132
   {2,284} of size 1136
   {2,285} of size 1140
   {2,286} of size 1144
   {2,287} of size 1148
   {2,288} of size 1152
   {2,289} of size 1156
   {2,290} of size 1160
   {2,291} of size 1164
   {2,292} of size 1168
   {2,293} of size 1172
   {2,294} of size 1176
   {2,295} of size 1180
   {2,296} of size 1184
   {2,297} of size 1188
   {2,298} of size 1192
   {2,299} of size 1196
   {2,300} of size 1200
   {2,301} of size 1204
   {2,302} of size 1208
   {2,303} of size 1212
   {2,304} of size 1216
   {2,305} of size 1220
   {2,306} of size 1224
   {2,307} of size 1228
   {2,308} of size 1232
   {2,309} of size 1236
   {2,310} of size 1240
   {2,311} of size 1244
   {2,312} of size 1248
   {2,313} of size 1252
   {2,314} of size 1256
   {2,315} of size 1260
   {2,316} of size 1264
   {2,317} of size 1268
   {2,318} of size 1272
   {2,319} of size 1276
   {2,320} of size 1280
   {2,321} of size 1284
   {2,322} of size 1288
   {2,323} of size 1292
   {2,324} of size 1296
   {2,325} of size 1300
   {2,326} of size 1304
   {2,327} of size 1308
   {2,328} of size 1312
   {2,329} of size 1316
   {2,330} of size 1320
   {2,331} of size 1324
   {2,332} of size 1328
   {2,333} of size 1332
   {2,334} of size 1336
   {2,335} of size 1340
   {2,336} of size 1344
   {2,337} of size 1348
   {2,338} of size 1352
   {2,339} of size 1356
   {2,340} of size 1360
   {2,341} of size 1364
   {2,342} of size 1368
   {2,343} of size 1372
   {2,344} of size 1376
   {2,345} of size 1380
   {2,346} of size 1384
   {2,347} of size 1388
   {2,348} of size 1392
   {2,349} of size 1396
   {2,350} of size 1400
   {2,351} of size 1404
   {2,352} of size 1408
   {2,353} of size 1412
   {2,354} of size 1416
   {2,355} of size 1420
   {2,356} of size 1424
   {2,357} of size 1428
   {2,358} of size 1432
   {2,359} of size 1436
   {2,360} of size 1440
   {2,361} of size 1444
   {2,362} of size 1448
   {2,363} of size 1452
   {2,364} of size 1456
   {2,365} of size 1460
   {2,366} of size 1464
   {2,367} of size 1468
   {2,368} of size 1472
   {2,369} of size 1476
   {2,370} of size 1480
   {2,371} of size 1484
   {2,372} of size 1488
   {2,373} of size 1492
   {2,374} of size 1496
   {2,375} of size 1500
   {2,376} of size 1504
   {2,377} of size 1508
   {2,378} of size 1512
   {2,379} of size 1516
   {2,380} of size 1520
   {2,381} of size 1524
   {2,382} of size 1528
   {2,383} of size 1532
   {2,385} of size 1540
   {2,386} of size 1544
   {2,387} of size 1548
   {2,388} of size 1552
   {2,389} of size 1556
   {2,390} of size 1560
   {2,391} of size 1564
   {2,392} of size 1568
   {2,393} of size 1572
   {2,394} of size 1576
   {2,395} of size 1580
   {2,396} of size 1584
   {2,397} of size 1588
   {2,398} of size 1592
   {2,399} of size 1596
   {2,400} of size 1600
   {2,401} of size 1604
   {2,402} of size 1608
   {2,403} of size 1612
   {2,404} of size 1616
   {2,405} of size 1620
   {2,406} of size 1624
   {2,407} of size 1628
   {2,408} of size 1632
   {2,409} of size 1636
   {2,410} of size 1640
   {2,411} of size 1644
   {2,412} of size 1648
   {2,413} of size 1652
   {2,414} of size 1656
   {2,415} of size 1660
   {2,416} of size 1664
   {2,417} of size 1668
   {2,418} of size 1672
   {2,419} of size 1676
   {2,420} of size 1680
   {2,421} of size 1684
   {2,422} of size 1688
   {2,423} of size 1692
   {2,424} of size 1696
   {2,425} of size 1700
   {2,426} of size 1704
   {2,427} of size 1708
   {2,428} of size 1712
   {2,429} of size 1716
   {2,430} of size 1720
   {2,431} of size 1724
   {2,432} of size 1728
   {2,433} of size 1732
   {2,434} of size 1736
   {2,435} of size 1740
   {2,436} of size 1744
   {2,437} of size 1748
   {2,438} of size 1752
   {2,439} of size 1756
   {2,440} of size 1760
   {2,441} of size 1764
   {2,442} of size 1768
   {2,443} of size 1772
   {2,444} of size 1776
   {2,445} of size 1780
   {2,446} of size 1784
   {2,447} of size 1788
   {2,448} of size 1792
   {2,449} of size 1796
   {2,450} of size 1800
   {2,451} of size 1804
   {2,452} of size 1808
   {2,453} of size 1812
   {2,454} of size 1816
   {2,455} of size 1820
   {2,456} of size 1824
   {2,457} of size 1828
   {2,458} of size 1832
   {2,459} of size 1836
   {2,460} of size 1840
   {2,461} of size 1844
   {2,462} of size 1848
   {2,463} of size 1852
   {2,464} of size 1856
   {2,465} of size 1860
   {2,466} of size 1864
   {2,467} of size 1868
   {2,468} of size 1872
   {2,469} of size 1876
   {2,470} of size 1880
   {2,471} of size 1884
   {2,472} of size 1888
   {2,473} of size 1892
   {2,474} of size 1896
   {2,475} of size 1900
   {2,476} of size 1904
   {2,477} of size 1908
   {2,478} of size 1912
   {2,479} of size 1916
   {2,480} of size 1920
   {2,481} of size 1924
   {2,482} of size 1928
   {2,483} of size 1932
   {2,484} of size 1936
   {2,485} of size 1940
   {2,486} of size 1944
   {2,487} of size 1948
   {2,488} of size 1952
   {2,489} of size 1956
   {2,490} of size 1960
   {2,491} of size 1964
   {2,492} of size 1968
   {2,493} of size 1972
   {2,494} of size 1976
   {2,495} of size 1980
   {2,496} of size 1984
   {2,497} of size 1988
   {2,498} of size 1992
   {2,499} of size 1996
   {2,500} of size 2000
Vertex Figure Of :
   {2,2} of size 8
   {3,2} of size 12
   {4,2} of size 16
   {5,2} of size 20
   {6,2} of size 24
   {7,2} of size 28
   {8,2} of size 32
   {9,2} of size 36
   {10,2} of size 40
   {11,2} of size 44
   {12,2} of size 48
   {13,2} of size 52
   {14,2} of size 56
   {15,2} of size 60
   {16,2} of size 64
   {17,2} of size 68
   {18,2} of size 72
   {19,2} of size 76
   {20,2} of size 80
   {21,2} of size 84
   {22,2} of size 88
   {23,2} of size 92
   {24,2} of size 96
   {25,2} of size 100
   {26,2} of size 104
   {27,2} of size 108
   {28,2} of size 112
   {29,2} of size 116
   {30,2} of size 120
   {31,2} of size 124
   {32,2} of size 128
   {33,2} of size 132
   {34,2} of size 136
   {35,2} of size 140
   {36,2} of size 144
   {37,2} of size 148
   {38,2} of size 152
   {39,2} of size 156
   {40,2} of size 160
   {41,2} of size 164
   {42,2} of size 168
   {43,2} of size 172
   {44,2} of size 176
   {45,2} of size 180
   {46,2} of size 184
   {47,2} of size 188
   {48,2} of size 192
   {49,2} of size 196
   {50,2} of size 200
   {51,2} of size 204
   {52,2} of size 208
   {53,2} of size 212
   {54,2} of size 216
   {55,2} of size 220
   {56,2} of size 224
   {57,2} of size 228
   {58,2} of size 232
   {59,2} of size 236
   {60,2} of size 240
   {61,2} of size 244
   {62,2} of size 248
   {63,2} of size 252
   {64,2} of size 256
   {65,2} of size 260
   {66,2} of size 264
   {67,2} of size 268
   {68,2} of size 272
   {69,2} of size 276
   {70,2} of size 280
   {71,2} of size 284
   {72,2} of size 288
   {73,2} of size 292
   {74,2} of size 296
   {75,2} of size 300
   {76,2} of size 304
   {77,2} of size 308
   {78,2} of size 312
   {79,2} of size 316
   {80,2} of size 320
   {81,2} of size 324
   {82,2} of size 328
   {83,2} of size 332
   {84,2} of size 336
   {85,2} of size 340
   {86,2} of size 344
   {87,2} of size 348
   {88,2} of size 352
   {89,2} of size 356
   {90,2} of size 360
   {91,2} of size 364
   {92,2} of size 368
   {93,2} of size 372
   {94,2} of size 376
   {95,2} of size 380
   {96,2} of size 384
   {97,2} of size 388
   {98,2} of size 392
   {99,2} of size 396
   {100,2} of size 400
   {101,2} of size 404
   {102,2} of size 408
   {103,2} of size 412
   {104,2} of size 416
   {105,2} of size 420
   {106,2} of size 424
   {107,2} of size 428
   {108,2} of size 432
   {109,2} of size 436
   {110,2} of size 440
   {111,2} of size 444
   {112,2} of size 448
   {113,2} of size 452
   {114,2} of size 456
   {115,2} of size 460
   {116,2} of size 464
   {117,2} of size 468
   {118,2} of size 472
   {119,2} of size 476
   {120,2} of size 480
   {121,2} of size 484
   {122,2} of size 488
   {123,2} of size 492
   {124,2} of size 496
   {125,2} of size 500
   {126,2} of size 504
   {127,2} of size 508
   {128,2} of size 512
   {129,2} of size 516
   {130,2} of size 520
   {131,2} of size 524
   {132,2} of size 528
   {133,2} of size 532
   {134,2} of size 536
   {135,2} of size 540
   {136,2} of size 544
   {137,2} of size 548
   {138,2} of size 552
   {139,2} of size 556
   {140,2} of size 560
   {141,2} of size 564
   {142,2} of size 568
   {143,2} of size 572
   {144,2} of size 576
   {145,2} of size 580
   {146,2} of size 584
   {147,2} of size 588
   {148,2} of size 592
   {149,2} of size 596
   {150,2} of size 600
   {151,2} of size 604
   {152,2} of size 608
   {153,2} of size 612
   {154,2} of size 616
   {155,2} of size 620
   {156,2} of size 624
   {157,2} of size 628
   {158,2} of size 632
   {159,2} of size 636
   {160,2} of size 640
   {161,2} of size 644
   {162,2} of size 648
   {163,2} of size 652
   {164,2} of size 656
   {165,2} of size 660
   {166,2} of size 664
   {167,2} of size 668
   {168,2} of size 672
   {169,2} of size 676
   {170,2} of size 680
   {171,2} of size 684
   {172,2} of size 688
   {173,2} of size 692
   {174,2} of size 696
   {175,2} of size 700
   {176,2} of size 704
   {177,2} of size 708
   {178,2} of size 712
   {179,2} of size 716
   {180,2} of size 720
   {181,2} of size 724
   {182,2} of size 728
   {183,2} of size 732
   {184,2} of size 736
   {185,2} of size 740
   {186,2} of size 744
   {187,2} of size 748
   {188,2} of size 752
   {189,2} of size 756
   {190,2} of size 760
   {191,2} of size 764
   {192,2} of size 768
   {193,2} of size 772
   {194,2} of size 776
   {195,2} of size 780
   {196,2} of size 784
   {197,2} of size 788
   {198,2} of size 792
   {199,2} of size 796
   {200,2} of size 800
   {201,2} of size 804
   {202,2} of size 808
   {203,2} of size 812
   {204,2} of size 816
   {205,2} of size 820
   {206,2} of size 824
   {207,2} of size 828
   {208,2} of size 832
   {209,2} of size 836
   {210,2} of size 840
   {211,2} of size 844
   {212,2} of size 848
   {213,2} of size 852
   {214,2} of size 856
   {215,2} of size 860
   {216,2} of size 864
   {217,2} of size 868
   {218,2} of size 872
   {219,2} of size 876
   {220,2} of size 880
   {221,2} of size 884
   {222,2} of size 888
   {223,2} of size 892
   {224,2} of size 896
   {225,2} of size 900
   {226,2} of size 904
   {227,2} of size 908
   {228,2} of size 912
   {229,2} of size 916
   {230,2} of size 920
   {231,2} of size 924
   {232,2} of size 928
   {233,2} of size 932
   {234,2} of size 936
   {235,2} of size 940
   {236,2} of size 944
   {237,2} of size 948
   {238,2} of size 952
   {239,2} of size 956
   {240,2} of size 960
   {241,2} of size 964
   {242,2} of size 968
   {243,2} of size 972
   {244,2} of size 976
   {245,2} of size 980
   {246,2} of size 984
   {247,2} of size 988
   {248,2} of size 992
   {249,2} of size 996
   {250,2} of size 1000
   {251,2} of size 1004
   {252,2} of size 1008
   {253,2} of size 1012
   {254,2} of size 1016
   {255,2} of size 1020
   {257,2} of size 1028
   {258,2} of size 1032
   {259,2} of size 1036
   {260,2} of size 1040
   {261,2} of size 1044
   {262,2} of size 1048
   {263,2} of size 1052
   {264,2} of size 1056
   {265,2} of size 1060
   {266,2} of size 1064
   {267,2} of size 1068
   {268,2} of size 1072
   {269,2} of size 1076
   {270,2} of size 1080
   {271,2} of size 1084
   {272,2} of size 1088
   {273,2} of size 1092
   {274,2} of size 1096
   {275,2} of size 1100
   {276,2} of size 1104
   {277,2} of size 1108
   {278,2} of size 1112
   {279,2} of size 1116
   {280,2} of size 1120
   {281,2} of size 1124
   {282,2} of size 1128
   {283,2} of size 1132
   {284,2} of size 1136
   {285,2} of size 1140
   {286,2} of size 1144
   {287,2} of size 1148
   {288,2} of size 1152
   {289,2} of size 1156
   {290,2} of size 1160
   {291,2} of size 1164
   {292,2} of size 1168
   {293,2} of size 1172
   {294,2} of size 1176
   {295,2} of size 1180
   {296,2} of size 1184
   {297,2} of size 1188
   {298,2} of size 1192
   {299,2} of size 1196
   {300,2} of size 1200
   {301,2} of size 1204
   {302,2} of size 1208
   {303,2} of size 1212
   {304,2} of size 1216
   {305,2} of size 1220
   {306,2} of size 1224
   {307,2} of size 1228
   {308,2} of size 1232
   {309,2} of size 1236
   {310,2} of size 1240
   {311,2} of size 1244
   {312,2} of size 1248
   {313,2} of size 1252
   {314,2} of size 1256
   {315,2} of size 1260
   {316,2} of size 1264
   {317,2} of size 1268
   {318,2} of size 1272
   {319,2} of size 1276
   {320,2} of size 1280
   {321,2} of size 1284
   {322,2} of size 1288
   {323,2} of size 1292
   {324,2} of size 1296
   {325,2} of size 1300
   {326,2} of size 1304
   {327,2} of size 1308
   {328,2} of size 1312
   {329,2} of size 1316
   {330,2} of size 1320
   {331,2} of size 1324
   {332,2} of size 1328
   {333,2} of size 1332
   {334,2} of size 1336
   {335,2} of size 1340
   {336,2} of size 1344
   {337,2} of size 1348
   {338,2} of size 1352
   {339,2} of size 1356
   {340,2} of size 1360
   {341,2} of size 1364
   {342,2} of size 1368
   {343,2} of size 1372
   {344,2} of size 1376
   {345,2} of size 1380
   {346,2} of size 1384
   {347,2} of size 1388
   {348,2} of size 1392
   {349,2} of size 1396
   {350,2} of size 1400
   {351,2} of size 1404
   {352,2} of size 1408
   {353,2} of size 1412
   {354,2} of size 1416
   {355,2} of size 1420
   {356,2} of size 1424
   {357,2} of size 1428
   {358,2} of size 1432
   {359,2} of size 1436
   {360,2} of size 1440
   {361,2} of size 1444
   {362,2} of size 1448
   {363,2} of size 1452
   {364,2} of size 1456
   {365,2} of size 1460
   {366,2} of size 1464
   {367,2} of size 1468
   {368,2} of size 1472
   {369,2} of size 1476
   {370,2} of size 1480
   {371,2} of size 1484
   {372,2} of size 1488
   {373,2} of size 1492
   {374,2} of size 1496
   {375,2} of size 1500
   {376,2} of size 1504
   {377,2} of size 1508
   {378,2} of size 1512
   {379,2} of size 1516
   {380,2} of size 1520
   {381,2} of size 1524
   {382,2} of size 1528
   {383,2} of size 1532
   {385,2} of size 1540
   {386,2} of size 1544
   {387,2} of size 1548
   {388,2} of size 1552
   {389,2} of size 1556
   {390,2} of size 1560
   {391,2} of size 1564
   {392,2} of size 1568
   {393,2} of size 1572
   {394,2} of size 1576
   {395,2} of size 1580
   {396,2} of size 1584
   {397,2} of size 1588
   {398,2} of size 1592
   {399,2} of size 1596
   {400,2} of size 1600
   {401,2} of size 1604
   {402,2} of size 1608
   {403,2} of size 1612
   {404,2} of size 1616
   {405,2} of size 1620
   {406,2} of size 1624
   {407,2} of size 1628
   {408,2} of size 1632
   {409,2} of size 1636
   {410,2} of size 1640
   {411,2} of size 1644
   {412,2} of size 1648
   {413,2} of size 1652
   {414,2} of size 1656
   {415,2} of size 1660
   {416,2} of size 1664
   {417,2} of size 1668
   {418,2} of size 1672
   {419,2} of size 1676
   {420,2} of size 1680
   {421,2} of size 1684
   {422,2} of size 1688
   {423,2} of size 1692
   {424,2} of size 1696
   {425,2} of size 1700
   {426,2} of size 1704
   {427,2} of size 1708
   {428,2} of size 1712
   {429,2} of size 1716
   {430,2} of size 1720
   {431,2} of size 1724
   {432,2} of size 1728
   {433,2} of size 1732
   {434,2} of size 1736
   {435,2} of size 1740
   {436,2} of size 1744
   {437,2} of size 1748
   {438,2} of size 1752
   {439,2} of size 1756
   {440,2} of size 1760
   {441,2} of size 1764
   {442,2} of size 1768
   {443,2} of size 1772
   {444,2} of size 1776
   {445,2} of size 1780
   {446,2} of size 1784
   {447,2} of size 1788
   {448,2} of size 1792
   {449,2} of size 1796
   {450,2} of size 1800
   {451,2} of size 1804
   {452,2} of size 1808
   {453,2} of size 1812
   {454,2} of size 1816
   {455,2} of size 1820
   {456,2} of size 1824
   {457,2} of size 1828
   {458,2} of size 1832
   {459,2} of size 1836
   {460,2} of size 1840
   {461,2} of size 1844
   {462,2} of size 1848
   {463,2} of size 1852
   {464,2} of size 1856
   {465,2} of size 1860
   {466,2} of size 1864
   {467,2} of size 1868
   {468,2} of size 1872
   {469,2} of size 1876
   {470,2} of size 1880
   {471,2} of size 1884
   {472,2} of size 1888
   {473,2} of size 1892
   {474,2} of size 1896
   {475,2} of size 1900
   {476,2} of size 1904
   {477,2} of size 1908
   {478,2} of size 1912
   {479,2} of size 1916
   {480,2} of size 1920
   {481,2} of size 1924
   {482,2} of size 1928
   {483,2} of size 1932
   {484,2} of size 1936
   {485,2} of size 1940
   {486,2} of size 1944
   {487,2} of size 1948
   {488,2} of size 1952
   {489,2} of size 1956
   {490,2} of size 1960
   {491,2} of size 1964
   {492,2} of size 1968
   {493,2} of size 1972
   {494,2} of size 1976
   {495,2} of size 1980
   {496,2} of size 1984
   {497,2} of size 1988
   {498,2} of size 1992
   {499,2} of size 1996
   {500,2} of size 2000
Quotients (Maximal Quotients in Boldface) :
   No Regular Quotients.
Covers (Minimal Covers in Boldface) :
   2-fold covers : {4}*8
   3-fold covers : {6}*12
   4-fold covers : {8}*16
   5-fold covers : {10}*20
   6-fold covers : {12}*24
   7-fold covers : {14}*28
   8-fold covers : {16}*32
   9-fold covers : {18}*36
   10-fold covers : {20}*40
   11-fold covers : {22}*44
   12-fold covers : {24}*48
   13-fold covers : {26}*52
   14-fold covers : {28}*56
   15-fold covers : {30}*60
   16-fold covers : {32}*64
   17-fold covers : {34}*68
   18-fold covers : {36}*72
   19-fold covers : {38}*76
   20-fold covers : {40}*80
   21-fold covers : {42}*84
   22-fold covers : {44}*88
   23-fold covers : {46}*92
   24-fold covers : {48}*96
   25-fold covers : {50}*100
   26-fold covers : {52}*104
   27-fold covers : {54}*108
   28-fold covers : {56}*112
   29-fold covers : {58}*116
   30-fold covers : {60}*120
   31-fold covers : {62}*124
   32-fold covers : {64}*128
   33-fold covers : {66}*132
   34-fold covers : {68}*136
   35-fold covers : {70}*140
   36-fold covers : {72}*144
   37-fold covers : {74}*148
   38-fold covers : {76}*152
   39-fold covers : {78}*156
   40-fold covers : {80}*160
   41-fold covers : {82}*164
   42-fold covers : {84}*168
   43-fold covers : {86}*172
   44-fold covers : {88}*176
   45-fold covers : {90}*180
   46-fold covers : {92}*184
   47-fold covers : {94}*188
   48-fold covers : {96}*192
   49-fold covers : {98}*196
   50-fold covers : {100}*200
   51-fold covers : {102}*204
   52-fold covers : {104}*208
   53-fold covers : {106}*212
   54-fold covers : {108}*216
   55-fold covers : {110}*220
   56-fold covers : {112}*224
   57-fold covers : {114}*228
   58-fold covers : {116}*232
   59-fold covers : {118}*236
   60-fold covers : {120}*240
   61-fold covers : {122}*244
   62-fold covers : {124}*248
   63-fold covers : {126}*252
   64-fold covers : {128}*256
   65-fold covers : {130}*260
   66-fold covers : {132}*264
   67-fold covers : {134}*268
   68-fold covers : {136}*272
   69-fold covers : {138}*276
   70-fold covers : {140}*280
   71-fold covers : {142}*284
   72-fold covers : {144}*288
   73-fold covers : {146}*292
   74-fold covers : {148}*296
   75-fold covers : {150}*300
   76-fold covers : {152}*304
   77-fold covers : {154}*308
   78-fold covers : {156}*312
   79-fold covers : {158}*316
   80-fold covers : {160}*320
   81-fold covers : {162}*324
   82-fold covers : {164}*328
   83-fold covers : {166}*332
   84-fold covers : {168}*336
   85-fold covers : {170}*340
   86-fold covers : {172}*344
   87-fold covers : {174}*348
   88-fold covers : {176}*352
   89-fold covers : {178}*356
   90-fold covers : {180}*360
   91-fold covers : {182}*364
   92-fold covers : {184}*368
   93-fold covers : {186}*372
   94-fold covers : {188}*376
   95-fold covers : {190}*380
   96-fold covers : {192}*384
   97-fold covers : {194}*388
   98-fold covers : {196}*392
   99-fold covers : {198}*396
   100-fold covers : {200}*400
   101-fold covers : {202}*404
   102-fold covers : {204}*408
   103-fold covers : {206}*412
   104-fold covers : {208}*416
   105-fold covers : {210}*420
   106-fold covers : {212}*424
   107-fold covers : {214}*428
   108-fold covers : {216}*432
   109-fold covers : {218}*436
   110-fold covers : {220}*440
   111-fold covers : {222}*444
   112-fold covers : {224}*448
   113-fold covers : {226}*452
   114-fold covers : {228}*456
   115-fold covers : {230}*460
   116-fold covers : {232}*464
   117-fold covers : {234}*468
   118-fold covers : {236}*472
   119-fold covers : {238}*476
   120-fold covers : {240}*480
   121-fold covers : {242}*484
   122-fold covers : {244}*488
   123-fold covers : {246}*492
   124-fold covers : {248}*496
   125-fold covers : {250}*500
   126-fold covers : {252}*504
   127-fold covers : {254}*508
   128-fold covers : {256}*512
   129-fold covers : {258}*516
   130-fold covers : {260}*520
   131-fold covers : {262}*524
   132-fold covers : {264}*528
   133-fold covers : {266}*532
   134-fold covers : {268}*536
   135-fold covers : {270}*540
   136-fold covers : {272}*544
   137-fold covers : {274}*548
   138-fold covers : {276}*552
   139-fold covers : {278}*556
   140-fold covers : {280}*560
   141-fold covers : {282}*564
   142-fold covers : {284}*568
   143-fold covers : {286}*572
   144-fold covers : {288}*576
   145-fold covers : {290}*580
   146-fold covers : {292}*584
   147-fold covers : {294}*588
   148-fold covers : {296}*592
   149-fold covers : {298}*596
   150-fold covers : {300}*600
   151-fold covers : {302}*604
   152-fold covers : {304}*608
   153-fold covers : {306}*612
   154-fold covers : {308}*616
   155-fold covers : {310}*620
   156-fold covers : {312}*624
   157-fold covers : {314}*628
   158-fold covers : {316}*632
   159-fold covers : {318}*636
   160-fold covers : {320}*640
   161-fold covers : {322}*644
   162-fold covers : {324}*648
   163-fold covers : {326}*652
   164-fold covers : {328}*656
   165-fold covers : {330}*660
   166-fold covers : {332}*664
   167-fold covers : {334}*668
   168-fold covers : {336}*672
   169-fold covers : {338}*676
   170-fold covers : {340}*680
   171-fold covers : {342}*684
   172-fold covers : {344}*688
   173-fold covers : {346}*692
   174-fold covers : {348}*696
   175-fold covers : {350}*700
   176-fold covers : {352}*704
   177-fold covers : {354}*708
   178-fold covers : {356}*712
   179-fold covers : {358}*716
   180-fold covers : {360}*720
   181-fold covers : {362}*724
   182-fold covers : {364}*728
   183-fold covers : {366}*732
   184-fold covers : {368}*736
   185-fold covers : {370}*740
   186-fold covers : {372}*744
   187-fold covers : {374}*748
   188-fold covers : {376}*752
   189-fold covers : {378}*756
   190-fold covers : {380}*760
   191-fold covers : {382}*764
   192-fold covers : {384}*768
   193-fold covers : {386}*772
   194-fold covers : {388}*776
   195-fold covers : {390}*780
   196-fold covers : {392}*784
   197-fold covers : {394}*788
   198-fold covers : {396}*792
   199-fold covers : {398}*796
   200-fold covers : {400}*800
   201-fold covers : {402}*804
   202-fold covers : {404}*808
   203-fold covers : {406}*812
   204-fold covers : {408}*816
   205-fold covers : {410}*820
   206-fold covers : {412}*824
   207-fold covers : {414}*828
   208-fold covers : {416}*832
   209-fold covers : {418}*836
   210-fold covers : {420}*840
   211-fold covers : {422}*844
   212-fold covers : {424}*848
   213-fold covers : {426}*852
   214-fold covers : {428}*856
   215-fold covers : {430}*860
   216-fold covers : {432}*864
   217-fold covers : {434}*868
   218-fold covers : {436}*872
   219-fold covers : {438}*876
   220-fold covers : {440}*880
   221-fold covers : {442}*884
   222-fold covers : {444}*888
   223-fold covers : {446}*892
   224-fold covers : {448}*896
   225-fold covers : {450}*900
   226-fold covers : {452}*904
   227-fold covers : {454}*908
   228-fold covers : {456}*912
   229-fold covers : {458}*916
   230-fold covers : {460}*920
   231-fold covers : {462}*924
   232-fold covers : {464}*928
   233-fold covers : {466}*932
   234-fold covers : {468}*936
   235-fold covers : {470}*940
   236-fold covers : {472}*944
   237-fold covers : {474}*948
   238-fold covers : {476}*952
   239-fold covers : {478}*956
   240-fold covers : {480}*960
   241-fold covers : {482}*964
   242-fold covers : {484}*968
   243-fold covers : {486}*972
   244-fold covers : {488}*976
   245-fold covers : {490}*980
   246-fold covers : {492}*984
   247-fold covers : {494}*988
   248-fold covers : {496}*992
   249-fold covers : {498}*996
   250-fold covers : {500}*1000
   251-fold covers : {502}*1004
   252-fold covers : {504}*1008
   253-fold covers : {506}*1012
   254-fold covers : {508}*1016
   255-fold covers : {510}*1020
   257-fold covers : {514}*1028
   258-fold covers : {516}*1032
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   498-fold covers : {996}*1992
   499-fold covers : {998}*1996
   500-fold covers : {1000}*2000
Permutation Representation (GAP) :
s0 := (1,2);;
s1 := (3,4);;
poly := Group([s0,s1]);;
 
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1");;
s0 := F.1;;  s1 := F.2;;  
rels := [ s0*s0, s1*s1, s0*s1*s0*s1 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(4)!(1,2);
s1 := Sym(4)!(3,4);
poly := sub<Sym(4)|s0,s1>;
 
Finitely Presented Group Representation (Magma) :
poly<s0,s1> := Group< s0,s1 | s0*s0, s1*s1, s0*s1*s0*s1 >; 
 

to this polytope