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
259-fold covers : {518}*1036
260-fold covers : {520}*1040
261-fold covers : {522}*1044
262-fold covers : {524}*1048
263-fold covers : {526}*1052
264-fold covers : {528}*1056
265-fold covers : {530}*1060
266-fold covers : {532}*1064
267-fold covers : {534}*1068
268-fold covers : {536}*1072
269-fold covers : {538}*1076
270-fold covers : {540}*1080
271-fold covers : {542}*1084
272-fold covers : {544}*1088
273-fold covers : {546}*1092
274-fold covers : {548}*1096
275-fold covers : {550}*1100
276-fold covers : {552}*1104
277-fold covers : {554}*1108
278-fold covers : {556}*1112
279-fold covers : {558}*1116
280-fold covers : {560}*1120
281-fold covers : {562}*1124
282-fold covers : {564}*1128
283-fold covers : {566}*1132
284-fold covers : {568}*1136
285-fold covers : {570}*1140
286-fold covers : {572}*1144
287-fold covers : {574}*1148
288-fold covers : {576}*1152
289-fold covers : {578}*1156
290-fold covers : {580}*1160
291-fold covers : {582}*1164
292-fold covers : {584}*1168
293-fold covers : {586}*1172
294-fold covers : {588}*1176
295-fold covers : {590}*1180
296-fold covers : {592}*1184
297-fold covers : {594}*1188
298-fold covers : {596}*1192
299-fold covers : {598}*1196
300-fold covers : {600}*1200
301-fold covers : {602}*1204
302-fold covers : {604}*1208
303-fold covers : {606}*1212
304-fold covers : {608}*1216
305-fold covers : {610}*1220
306-fold covers : {612}*1224
307-fold covers : {614}*1228
308-fold covers : {616}*1232
309-fold covers : {618}*1236
310-fold covers : {620}*1240
311-fold covers : {622}*1244
312-fold covers : {624}*1248
313-fold covers : {626}*1252
314-fold covers : {628}*1256
315-fold covers : {630}*1260
316-fold covers : {632}*1264
317-fold covers : {634}*1268
318-fold covers : {636}*1272
319-fold covers : {638}*1276
320-fold covers : {640}*1280
321-fold covers : {642}*1284
322-fold covers : {644}*1288
323-fold covers : {646}*1292
324-fold covers : {648}*1296
325-fold covers : {650}*1300
326-fold covers : {652}*1304
327-fold covers : {654}*1308
328-fold covers : {656}*1312
329-fold covers : {658}*1316
330-fold covers : {660}*1320
331-fold covers : {662}*1324
332-fold covers : {664}*1328
333-fold covers : {666}*1332
334-fold covers : {668}*1336
335-fold covers : {670}*1340
336-fold covers : {672}*1344
337-fold covers : {674}*1348
338-fold covers : {676}*1352
339-fold covers : {678}*1356
340-fold covers : {680}*1360
341-fold covers : {682}*1364
342-fold covers : {684}*1368
343-fold covers : {686}*1372
344-fold covers : {688}*1376
345-fold covers : {690}*1380
346-fold covers : {692}*1384
347-fold covers : {694}*1388
348-fold covers : {696}*1392
349-fold covers : {698}*1396
350-fold covers : {700}*1400
351-fold covers : {702}*1404
352-fold covers : {704}*1408
353-fold covers : {706}*1412
354-fold covers : {708}*1416
355-fold covers : {710}*1420
356-fold covers : {712}*1424
357-fold covers : {714}*1428
358-fold covers : {716}*1432
359-fold covers : {718}*1436
360-fold covers : {720}*1440
361-fold covers : {722}*1444
362-fold covers : {724}*1448
363-fold covers : {726}*1452
364-fold covers : {728}*1456
365-fold covers : {730}*1460
366-fold covers : {732}*1464
367-fold covers : {734}*1468
368-fold covers : {736}*1472
369-fold covers : {738}*1476
370-fold covers : {740}*1480
371-fold covers : {742}*1484
372-fold covers : {744}*1488
373-fold covers : {746}*1492
374-fold covers : {748}*1496
375-fold covers : {750}*1500
376-fold covers : {752}*1504
377-fold covers : {754}*1508
378-fold covers : {756}*1512
379-fold covers : {758}*1516
380-fold covers : {760}*1520
381-fold covers : {762}*1524
382-fold covers : {764}*1528
383-fold covers : {766}*1532
385-fold covers : {770}*1540
386-fold covers : {772}*1544
387-fold covers : {774}*1548
388-fold covers : {776}*1552
389-fold covers : {778}*1556
390-fold covers : {780}*1560
391-fold covers : {782}*1564
392-fold covers : {784}*1568
393-fold covers : {786}*1572
394-fold covers : {788}*1576
395-fold covers : {790}*1580
396-fold covers : {792}*1584
397-fold covers : {794}*1588
398-fold covers : {796}*1592
399-fold covers : {798}*1596
400-fold covers : {800}*1600
401-fold covers : {802}*1604
402-fold covers : {804}*1608
403-fold covers : {806}*1612
404-fold covers : {808}*1616
405-fold covers : {810}*1620
406-fold covers : {812}*1624
407-fold covers : {814}*1628
408-fold covers : {816}*1632
409-fold covers : {818}*1636
410-fold covers : {820}*1640
411-fold covers : {822}*1644
412-fold covers : {824}*1648
413-fold covers : {826}*1652
414-fold covers : {828}*1656
415-fold covers : {830}*1660
416-fold covers : {832}*1664
417-fold covers : {834}*1668
418-fold covers : {836}*1672
419-fold covers : {838}*1676
420-fold covers : {840}*1680
421-fold covers : {842}*1684
422-fold covers : {844}*1688
423-fold covers : {846}*1692
424-fold covers : {848}*1696
425-fold covers : {850}*1700
426-fold covers : {852}*1704
427-fold covers : {854}*1708
428-fold covers : {856}*1712
429-fold covers : {858}*1716
430-fold covers : {860}*1720
431-fold covers : {862}*1724
432-fold covers : {864}*1728
433-fold covers : {866}*1732
434-fold covers : {868}*1736
435-fold covers : {870}*1740
436-fold covers : {872}*1744
437-fold covers : {874}*1748
438-fold covers : {876}*1752
439-fold covers : {878}*1756
440-fold covers : {880}*1760
441-fold covers : {882}*1764
442-fold covers : {884}*1768
443-fold covers : {886}*1772
444-fold covers : {888}*1776
445-fold covers : {890}*1780
446-fold covers : {892}*1784
447-fold covers : {894}*1788
448-fold covers : {896}*1792
449-fold covers : {898}*1796
450-fold covers : {900}*1800
451-fold covers : {902}*1804
452-fold covers : {904}*1808
453-fold covers : {906}*1812
454-fold covers : {908}*1816
455-fold covers : {910}*1820
456-fold covers : {912}*1824
457-fold covers : {914}*1828
458-fold covers : {916}*1832
459-fold covers : {918}*1836
460-fold covers : {920}*1840
461-fold covers : {922}*1844
462-fold covers : {924}*1848
463-fold covers : {926}*1852
464-fold covers : {928}*1856
465-fold covers : {930}*1860
466-fold covers : {932}*1864
467-fold covers : {934}*1868
468-fold covers : {936}*1872
469-fold covers : {938}*1876
470-fold covers : {940}*1880
471-fold covers : {942}*1884
472-fold covers : {944}*1888
473-fold covers : {946}*1892
474-fold covers : {948}*1896
475-fold covers : {950}*1900
476-fold covers : {952}*1904
477-fold covers : {954}*1908
478-fold covers : {956}*1912
479-fold covers : {958}*1916
480-fold covers : {960}*1920
481-fold covers : {962}*1924
482-fold covers : {964}*1928
483-fold covers : {966}*1932
484-fold covers : {968}*1936
485-fold covers : {970}*1940
486-fold covers : {972}*1944
487-fold covers : {974}*1948
488-fold covers : {976}*1952
489-fold covers : {978}*1956
490-fold covers : {980}*1960
491-fold covers : {982}*1964
492-fold covers : {984}*1968
493-fold covers : {986}*1972
494-fold covers : {988}*1976
495-fold covers : {990}*1980
496-fold covers : {992}*1984
497-fold covers : {994}*1988
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