618:
611:
604:
552:
545:
538:
712:
705:
698:
1584:
3347:
404:
2396:
94:
58:
2213:
1350:
691:
597:
3291:
944:
242:
196:
150:
32:
3583:
730:
531:
3319:
747:
2583:
3370:
2512:
3189:
3142:
3085:
3028:
2961:
2894:
2830:
2761:
2690:
2640:
2193:
2146:
2089:
2028:
1961:
1895:
1826:
1756:
1702:
1645:
1330:
1283:
1226:
1167:
1075:
3398:
1472:
776:
2225:
3210:
3263:
290:
392:
416:
2336:, which is extremely similar to the cube described, with each rectangle replaced by a pentagon with one symmetry axis and 4 equal sides and 1 different side (the one corresponding to the line segment dividing the cube's face); i.e., the cube's faces bulge out at the dividing line and become narrower there. It is a subgroup of the full
2331:
It is the symmetry of a cube with on each face a line segment dividing the face into two equal rectangles, such that the line segments of adjacent faces do not meet at the edge. The symmetries correspond to the even permutations of the body diagonals and the same combined with inversion. It is also
784:
one full face is a fundamental domain; other solids with the same symmetry can be obtained by adjusting the orientation of the faces, e.g. flattening selected subsets of faces to combine each subset into one face, or replacing each face by multiple faces, or a curved surface.
926:
has no subgroup of order 6. Although it is a property for the abstract group in general, it is clear from the isometry group of chiral tetrahedral symmetry: because of the chirality the subgroup would have to be
324:
of permutations of four objects, since there is exactly one such symmetry for each permutation of the vertices of the tetrahedron. The set of orientation-preserving symmetries forms a group referred to as the
443:
form 6 circles (or centrally radial lines) in the plane. Each of these 6 circles represent a mirror line in tetrahedral symmetry. The intersection of these circles meet at order 2 and 3 gyration points.
2328:. The three elements of the latter are the identity, "clockwise rotation", and "anti-clockwise rotation", corresponding to permutations of the three orthogonal 2-fold axes, preserving orientation.
885:. The three elements of the latter are the identity, "clockwise rotation", and "anti-clockwise rotation", corresponding to permutations of the three orthogonal 2-fold axes, preserving orientation.
1137:
1045:
1132:
3166:
3119:
3109:
3062:
3052:
3005:
2995:
2985:
2938:
2928:
2918:
2871:
2861:
2851:
2805:
2795:
2785:
2724:
2714:
2472:
2462:
2170:
2123:
2113:
2062:
2052:
2005:
1995:
1985:
1936:
1926:
1916:
1870:
1860:
1850:
1790:
1780:
1307:
1260:
1250:
1201:
1191:
1127:
1119:
1109:
1099:
1035:
1027:
1017:
1007:
681:
671:
661:
653:
643:
633:
587:
577:
567:
521:
511:
501:
493:
483:
473:
280:
270:
260:
234:
224:
214:
188:
178:
168:
132:
122:
112:
86:
76:
50:
1142:
1050:
1040:
2734:
2664:
2617:
2607:
2556:
2546:
2536:
2482:
1800:
1726:
1679:
1669:
1618:
1608:
1558:
1548:
1538:
3114:
3000:
2990:
2923:
2800:
2790:
2719:
2118:
2000:
1990:
1855:
1785:
1255:
1114:
1104:
3057:
2933:
2866:
2856:
2729:
2612:
2551:
2541:
2477:
2467:
2057:
1931:
1921:
1865:
1795:
1674:
1613:
1553:
1543:
1196:
1022:
1012:
676:
666:
648:
638:
582:
572:
516:
506:
488:
478:
275:
265:
229:
219:
183:
173:
127:
117:
81:
36:
2280:
is either an element of T, or one combined with inversion. Apart from these two normal subgroups, there is also a normal subgroup D
2254:. This group has the same rotation axes as T, with mirror planes through two of the orthogonal directions. The 3-fold axes are now
1387:. This group has the same rotation axes as T, but with six mirror planes, each through two 3-fold axes. The 2-fold axes are now S
3517:
3498:
3482:
813:
98:
893:
369:
3493:, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995,
62:
365:
361:
23:
845:
of the four 3-fold axes: e, (123), (132), (124), (142), (134), (143), (234), (243), (12)(34), (13)(24), (14)(23).
3505:
3489:
3340:
1416:
3608:
2421:
1497:
969:
617:
610:
603:
3501:
3290:
3431:
436:
3386:
3335:
3318:
551:
544:
537:
316:
The group of all (not necessarily orientation preserving) symmetries is isomorphic to the group S
3603:
373:
306:
3587:
3363:
3284:
982:
3426:
2429:
2406:
2337:
1505:
1482:
977:
954:
246:
8:
3613:
3421:
3391:
3312:
2444:
1520:
992:
781:
760:
739:
440:
200:
735:
711:
704:
697:
3567:
3546:
3529:
3564:
3513:
3494:
3478:
3279:
2416:
2340:
group (as isometry group, not just as abstract group), with 4 of the 10 3-fold axes.
2255:
2229:
1951:
1492:
1065:
964:
838:
326:
3541:
2411:
2312:
1487:
959:
943:
842:
140:
3262:
3215:
2439:
2347:
include those of T, with the two classes of 4 combined, and each with inversion:
1583:
1515:
1423:
1404:
987:
870:
849:
321:
3346:
763:
format, along with the 180° edge (blue arrows) and 120° vertex (reddish arrows)
3251:
2321:
1384:
1157:
878:
859:
4 × rotation by 120° clockwise (seen from a vertex): (234), (143), (412), (321)
310:
3597:
3528:
Koca, Nazife; Al-Mukhaini, Aida; Koca, Mehmet; Al Qanobi, Amal (2016-12-01).
3307:
2434:
2395:
1510:
1471:
403:
93:
57:
2333:
2224:
2212:
1349:
1216:
690:
596:
241:
195:
149:
31:
729:
530:
313:
of 24 including transformations that combine a reflection and a rotation.
3256:
768:
752:
302:
294:
3582:
3369:
2511:
2311:. It is the direct product of the normal subgroup of T (see above) with
3444:
2582:
827:
3397:
746:
3572:
3188:
3141:
3084:
3027:
2960:
2893:
2829:
2760:
2689:
2639:
2192:
2145:
2088:
2027:
1960:
1894:
1825:
1755:
1701:
1644:
1329:
1282:
1225:
1166:
1074:
775:
1411:
is the union of T and the set obtained by combining each element of
3209:
764:
756:
1399:
and O are isomorphic as abstract groups: they both correspond to S
812:. There are three orthogonal 2-fold rotation axes, like chiral
2285:
391:
289:
3527:
3477:
2008, John H. Conway, Heidi
Burgiel, Chaim Goodman-Strauss,
3450:
1466:
938:
3562:
3203:
869:
The rotations by 180°, together with the identity, form a
892:
is the smallest group demonstrating that the converse of
3223:
415:
1451:
6 × reflection in a plane through two rotation axes (C
297:, an example of a solid with full tetrahedral symmetry
2390:
2265:) axes, and there is a central inversion symmetry. T
822:
or 222, with in addition four 3-fold axes, centered
908:|, there does not necessarily exist a subgroup of
3595:
1344:
826:the three orthogonal directions. This group is
3153:
3096:
3039:
2972:
2905:
2841:
2772:
2701:
2651:
2594:
2523:
2449:
2157:
2100:
2039:
1972:
1906:
1837:
1767:
1713:
1656:
1595:
1525:
1294:
1237:
1178:
1086:
997:
720:
3534:Sultan Qaboos University Journal for Science
896:is not true in general: given a finite group
862:4 × rotation by 120° counterclockwise (ditto)
469:Chiral tetrahedral symmetry, T, (332), = ,
3530:"Symmetry of the Pyritohedron and Lattices"
841:on 4 elements; in fact it is the group of
759:alone. These are illustrated above in the
755:can be placed in 12 distinct positions by
724:
3545:
1467:Subgroups of achiral tetrahedral symmetry
1417:the isometries of the regular tetrahedron
771:the tetrahedron through those positions.
742:, see below, the latter is one full face
2394:
2223:
2211:
2207:
1470:
1348:
942:
939:Subgroups of chiral tetrahedral symmetry
288:
3204:Solids with chiral tetrahedral symmetry
3596:
734:The tetrahedral rotation group T with
3563:
3224:Solids with full tetrahedral symmetry
947:Chiral tetrahedral symmetry subgroups
3488:Kaleidoscopes: Selected Writings of
13:
2391:Subgroups of pyritohedral symmetry
14:
3625:
3556:
3547:10.24200/squjs.vol21iss2pp139-149
3581:
3396:
3368:
3345:
3317:
3289:
3261:
3208:
3187:
3164:
3140:
3117:
3112:
3107:
3083:
3060:
3055:
3050:
3026:
3003:
2998:
2993:
2988:
2983:
2959:
2936:
2931:
2926:
2921:
2916:
2892:
2869:
2864:
2859:
2854:
2849:
2828:
2803:
2798:
2793:
2788:
2783:
2759:
2732:
2727:
2722:
2717:
2712:
2688:
2662:
2638:
2615:
2610:
2605:
2581:
2554:
2549:
2544:
2539:
2534:
2510:
2480:
2475:
2470:
2465:
2460:
2191:
2168:
2144:
2121:
2116:
2111:
2087:
2060:
2055:
2050:
2026:
2003:
1998:
1993:
1988:
1983:
1959:
1934:
1929:
1924:
1919:
1914:
1893:
1868:
1863:
1858:
1853:
1848:
1824:
1798:
1793:
1788:
1783:
1778:
1754:
1724:
1700:
1677:
1672:
1667:
1643:
1616:
1611:
1606:
1582:
1556:
1551:
1546:
1541:
1536:
1328:
1305:
1281:
1258:
1253:
1248:
1224:
1199:
1194:
1189:
1165:
1140:
1135:
1130:
1125:
1117:
1112:
1107:
1102:
1097:
1073:
1048:
1043:
1038:
1033:
1025:
1020:
1015:
1010:
1005:
774:
745:
728:
710:
703:
696:
689:
679:
674:
669:
664:
659:
651:
646:
641:
636:
631:
616:
609:
602:
595:
585:
580:
575:
570:
565:
550:
543:
536:
529:
519:
514:
509:
504:
499:
491:
486:
481:
476:
471:
414:
402:
390:
278:
273:
268:
263:
258:
240:
232:
227:
222:
217:
212:
194:
186:
181:
176:
171:
166:
148:
130:
125:
120:
115:
110:
92:
84:
79:
74:
56:
48:
30:
24:point groups in three dimensions
3524:, 11.5 Spherical Coxeter groups
2324:is the same as above: of type Z
810:rotational tetrahedral symmetry
625:Achiral tetrahedral symmetry, T
3586:Learning materials related to
3510:Geometries and Transformations
378:
1:
3460:
3341:Truncated triakis tetrahedron
3213:The Icosahedron colored as a
1475:Achiral tetrahedral subgroups
370:crystallographic point groups
3437:
3384:
3361:
3333:
3305:
3277:
3249:
2382:3 × reflection in a plane (C
2375:8 × rotoreflection by 60° (S
1458:6 × rotoreflection by 90° (S
1383:, also known as the (2,3,3)
1353:The full tetrahedral group T
1345:Achiral tetrahedral symmetry
421:
383:
354:achiral tetrahedral symmetry
20:
7:
3415:
721:Chiral tetrahedral symmetry
10:
3630:
2343:The conjugacy classes of T
2232:have pyritohedral symmetry
453:Stereographic projections
340:
3334:
2410:
1486:
1415:with inversion. See also
1381:full tetrahedral symmetry
958:
624:
558:
468:
452:
449:
362:discrete point symmetries
139:
3475:The Symmetries of Things
3432:Binary tetrahedral group
2216:The pyritohedral group T
559:Pyritohedral symmetry, T
437:stereographic projection
366:symmetries on the sphere
3387:Uniform star polyhedron
3336:Near-miss Johnson solid
2361:3 × rotation by 180° (C
2354:8 × rotation by 120° (C
2220:with fundamental domain
1444:3 × rotation by 180° (C
1437:8 × rotation by 120° (C
1357:with fundamental domain
935:, but neither applies.
3522:Finite symmetry groups
2400:
2399:Pyritohedral subgroups
2233:
2221:
1476:
1358:
948:
368:). They are among the
307:orientation-preserving
305:has 12 rotational (or
298:
3364:Tetrated dodecahedron
3285:truncated tetrahedron
3220:has chiral symmetry.
2398:
2252:pyritohedral symmetry
2227:
2215:
2208:Pyritohedral symmetry
1474:
1352:
946:
358:pyritohedral symmetry
292:
37:Involutional symmetry
3427:Icosahedral symmetry
2338:icosahedral symmetry
2276:: every element of T
865:3 × rotation by 180°
374:cubic crystal system
327:alternating subgroup
309:) symmetries, and a
247:Icosahedral symmetry
155:Tetrahedral symmetry
3609:Rotational symmetry
3568:"Tetrahedral group"
3471:(1997), p. 295
3467:Peter R. Cromwell,
3422:Octahedral symmetry
3392:Tetrahemihexahedron
3313:triakis tetrahedron
782:tetrakis hexahedron
740:triakis tetrahedron
441:tetrakis hexahedron
381:
201:Octahedral symmetry
26:
3588:Symmetric group S4
3565:Weisstein, Eric W.
2401:
2332:the symmetry of a
2234:
2222:
1477:
1375:3m, of order 24 –
1359:
949:
894:Lagrange's theorem
736:fundamental domain
379:
364:(or equivalently,
299:
21:
3518:978-1-107-10340-5
3499:978-0-471-01003-6
3483:978-1-56881-220-5
3413:
3412:
3280:Archimedean solid
3201:
3200:
2269:is isomorphic to
2205:
2204:
1424:conjugacy classes
1342:
1341:
850:conjugacy classes
843:even permutations
839:alternating group
814:dihedral symmetry
789:
788:
718:
717:
439:the edges of the
433:
432:
287:
286:
99:Dihedral symmetry
18:3D symmetry group
3621:
3585:
3578:
3577:
3551:
3549:
3454:
3451:Koca et al. 2016
3448:
3400:
3372:
3349:
3321:
3293:
3265:
3228:
3227:
3212:
3191:
3169:
3168:
3167:
3144:
3122:
3121:
3120:
3116:
3115:
3111:
3110:
3087:
3065:
3064:
3063:
3059:
3058:
3054:
3053:
3030:
3008:
3007:
3006:
3002:
3001:
2997:
2996:
2992:
2991:
2987:
2986:
2963:
2941:
2940:
2939:
2935:
2934:
2930:
2929:
2925:
2924:
2920:
2919:
2896:
2874:
2873:
2872:
2868:
2867:
2863:
2862:
2858:
2857:
2853:
2852:
2832:
2816:
2808:
2807:
2806:
2802:
2801:
2797:
2796:
2792:
2791:
2787:
2786:
2763:
2737:
2736:
2735:
2731:
2730:
2726:
2725:
2721:
2720:
2716:
2715:
2692:
2675:
2667:
2666:
2665:
2642:
2620:
2619:
2618:
2614:
2613:
2609:
2608:
2585:
2559:
2558:
2557:
2553:
2552:
2548:
2547:
2543:
2542:
2538:
2537:
2514:
2494:
2485:
2484:
2483:
2479:
2478:
2474:
2473:
2469:
2468:
2464:
2463:
2403:
2402:
2310:
2275:
2264:
2250:, of order 24 –
2249:
2195:
2173:
2172:
2171:
2148:
2126:
2125:
2124:
2120:
2119:
2115:
2114:
2091:
2065:
2064:
2063:
2059:
2058:
2054:
2053:
2030:
2008:
2007:
2006:
2002:
2001:
1997:
1996:
1992:
1991:
1987:
1986:
1963:
1939:
1938:
1937:
1933:
1932:
1928:
1927:
1923:
1922:
1918:
1917:
1897:
1881:
1873:
1872:
1871:
1867:
1866:
1862:
1861:
1857:
1856:
1852:
1851:
1828:
1811:
1803:
1802:
1801:
1797:
1796:
1792:
1791:
1787:
1786:
1782:
1781:
1758:
1737:
1729:
1728:
1727:
1704:
1682:
1681:
1680:
1676:
1675:
1671:
1670:
1647:
1621:
1620:
1619:
1615:
1614:
1610:
1609:
1586:
1569:
1561:
1560:
1559:
1555:
1554:
1550:
1549:
1545:
1544:
1540:
1539:
1479:
1478:
1414:
1394:
1374:
1332:
1310:
1309:
1308:
1285:
1263:
1262:
1261:
1257:
1256:
1252:
1251:
1228:
1204:
1203:
1202:
1198:
1197:
1193:
1192:
1169:
1145:
1144:
1143:
1139:
1138:
1134:
1133:
1129:
1128:
1122:
1121:
1120:
1116:
1115:
1111:
1110:
1106:
1105:
1101:
1100:
1077:
1053:
1052:
1051:
1047:
1046:
1042:
1041:
1037:
1036:
1030:
1029:
1028:
1024:
1023:
1019:
1018:
1014:
1013:
1009:
1008:
951:
950:
925:
804:, of order 12 –
778:
749:
732:
725:
714:
707:
700:
693:
684:
683:
682:
678:
677:
673:
672:
668:
667:
663:
662:
656:
655:
654:
650:
649:
645:
644:
640:
639:
635:
634:
620:
613:
606:
599:
590:
589:
588:
584:
583:
579:
578:
574:
573:
569:
568:
554:
547:
540:
533:
524:
523:
522:
518:
517:
513:
512:
508:
507:
503:
502:
496:
495:
494:
490:
489:
485:
484:
480:
479:
475:
474:
447:
446:
418:
406:
394:
382:
283:
282:
281:
277:
276:
272:
271:
267:
266:
262:
261:
244:
237:
236:
235:
231:
230:
226:
225:
221:
220:
216:
215:
198:
191:
190:
189:
185:
184:
180:
179:
175:
174:
170:
169:
152:
141:Polyhedral group
135:
134:
133:
129:
128:
124:
123:
119:
118:
114:
113:
96:
89:
88:
87:
83:
82:
78:
77:
60:
53:
52:
51:
34:
27:
3629:
3628:
3624:
3623:
3622:
3620:
3619:
3618:
3594:
3593:
3559:
3554:
3463:
3458:
3457:
3449:
3445:
3440:
3418:
3226:
3206:
3184:
3165:
3163:
3158:
3137:
3118:
3113:
3108:
3106:
3101:
3080:
3061:
3056:
3051:
3049:
3044:
3023:
3004:
2999:
2994:
2989:
2984:
2982:
2977:
2956:
2937:
2932:
2927:
2922:
2917:
2915:
2910:
2889:
2870:
2865:
2860:
2855:
2850:
2848:
2825:
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1407:on 4 objects. T
1405:symmetric group
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1398:
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1365:
1356:
1347:
1325:
1306:
1304:
1299:
1278:
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1195:
1190:
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1141:
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1049:
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1026:
1021:
1016:
1011:
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1004:
941:
934:
930:
924:
917:
891:
884:
876:
871:normal subgroup
836:
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733:
723:
680:
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116:
111:
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97:
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63:Cyclic symmetry
61:
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35:
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12:
11:
5:
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3590:at Wikiversity
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3557:External links
3555:
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3490:H.S.M. Coxeter
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1385:triangle group
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900:and a divisor
889:
882:
879:quotient group
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380:Gyration axes
342:
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334:
330:
317:
311:symmetry order
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159:
145:
144:
137:
136:
103:
90:
67:
54:
41:
17:
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2:
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3604:Finite groups
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3496:
3492:
3491:
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3452:
3447:
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3428:
3425:
3423:
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3408:
3405:
3402:
3399:
3395:
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3388:
3385:
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3377:
3374:
3371:
3367:
3365:
3362:
3357:
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3342:
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3329:
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3316:
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3311:
3309:
3308:Catalan solid
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2019:
2016:
2013:
2010:
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915:
911:
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347:
338:
328:
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314:
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296:
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248:
243:
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202:
197:
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156:
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142:
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100:
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38:
33:
29:
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16:
3571:
3537:
3533:
3521:
3520:Chapter 11:
3509:
3506:N.W. Johnson
3487:
3474:
3468:
3446:
3214:
3207:
2368:inversion (S
2342:
2334:pyritohedron
2330:
2315:
2251:
2243:
2236:
2235:
1421:
1380:
1376:
1368:
1361:
1360:
918:
916:: the group
913:
909:
905:
901:
897:
887:
868:
847:
831:
823:
816:
809:
805:
801:
797:
792:
791:
790:
434:
357:
353:
349:
345:
344:
315:
300:
154:
15:
3257:tetrahedron
3218:tetrahedron
2426:Generators
2288:), of type
2284:(that of a
1502:Generators
974:Generators
912:with order
873:of type Dih
761:cycle graph
753:tetrahedron
563:, (3*2), ,
450:Orthogonal
303:tetrahedron
295:tetrahedron
143:, , (*n32)
3614:Tetrahedra
3598:Categories
3540:(2): 139.
3461:References
2230:volleyball
852:of T are:
828:isomorphic
738:; for the
301:A regular
293:A regular
3573:MathWorld
3512:, (2018)
3469:Polyhedra
3438:Citations
3246:Vertices
2430:Structure
1506:Structure
1395:) axes. T
978:Structure
881:of type Z
765:rotations
22:Selected
3416:See also
3237:Picture
2351:identity
1434:identity
856:identity
757:rotation
435:Seen in
254:, (*532)
208:, (*432)
162:, (*332)
106:, (*n22)
2412:Coxeter
2320:. The
2246:, or m
1488:Coxeter
1377:achiral
960:Coxeter
877:, with
824:between
800:, , or
780:In the
769:permute
464:2-fold
461:3-fold
458:4-fold
372:of the
341:Details
70:, (*nn)
3516:
3497:
3481:
3243:Edges
3240:Faces
3231:Class
2407:Schoe.
2286:cuboid
1483:Schoe.
1403:, the
1371:, or
955:Schoe.
837:, the
806:chiral
360:) are
346:Chiral
320:, the
3234:Name
2445:Index
2440:Order
2271:T × Z
1521:Index
1516:Order
1430:are:
1413:O \ T
993:Index
988:Order
767:that
44:, (*)
3514:ISBN
3495:ISBN
3479:ISBN
3216:snub
2676:or m
2562:*222
2417:Orb.
1738:or m
1564:*332
1493:Orb.
1426:of T
1422:The
1369:*332
965:Orb.
931:or D
904:of |
848:The
356:and
352:(or
350:full
348:and
333:of S
3542:doi
3381:28
3378:54
3375:28
3358:28
3355:42
3352:16
3302:12
3197:24
3150:12
3014:222
3011:222
2944:322
2877:332
2838:12
2743:2/m
2698:12
2626:mm2
2623:*22
2565:mmm
2488:3*2
2435:Cyc
2422:H-M
2306:× Z
2302:× Z
2298:= Z
2294:× Z
2290:Dih
2244:3*2
2201:24
2154:12
2081:= A
2014:222
2011:222
1942:332
1806:2*2
1764:12
1748:= D
1688:mm2
1685:*22
1624:*33
1511:Cyc
1498:H-M
1379:or
1338:12
1151:222
1148:222
1056:332
983:Cyc
970:H-M
921:= A
830:to
808:or
798:332
3600::
3570:.
3538:21
3536:.
3532:.
3508::
3409:6
3406:12
3330:8
3327:18
3324:12
3299:18
3274:4
3172:11
3125:22
3093:8
3068:33
3036:6
2969:4
2902:2
2899:12
2880:23
2769:6
2753:×D
2740:2*
2705:2h
2648:6
2598:2v
2591:3
2575:×D
2527:2h
2520:1
2517:24
2504:×Z
2502:4
2282:2h
2242:,
2176:11
2129:22
2097:8
2068:33
2036:6
1969:2
1966:12
1945:23
1903:6
1876:2×
1834:3
1812:2m
1771:2d
1710:6
1660:2v
1653:4
1637:=S
1627:3m
1599:3v
1592:1
1589:24
1570:3m
1419:.
1367:,
1313:11
1291:6
1266:22
1234:4
1207:33
1175:3
1123:=
1083:1
1080:12
1059:23
1031:=
802:23
796:,
751:A
657:=
497:=
429:3
376:.
337:.
256:=
210:=
164:=
108:=
104:nh
72:=
68:nv
46:=
3576:.
3550:.
3544::
3453:.
3403:7
3296:8
3271:6
3268:4
3194:1
3183:1
3181:Z
3178:1
3175:1
3157:1
3155:C
3147:2
3136:2
3134:Z
3131:1
3128:2
3100:2
3098:C
3090:3
3079:3
3077:Z
3074:1
3071:3
3043:3
3041:C
3033:4
3022:8
3020:D
3017:3
2976:2
2974:D
2966:6
2955:6
2953:D
2950:2
2947:3
2909:3
2907:D
2888:4
2886:A
2883:2
2843:T
2835:2
2824:2
2822:Z
2819:1
2815:1
2811:×
2776:2
2774:S
2766:4
2755:2
2751:2
2749:Z
2746:2
2703:C
2695:2
2684:2
2682:D
2679:1
2674:2
2670:*
2655:s
2653:C
2645:4
2634:4
2632:D
2629:2
2596:C
2588:8
2577:2
2573:4
2571:D
2568:3
2525:D
2506:2
2500:A
2497:2
2493:3
2491:m
2453:h
2451:T
2386:)
2384:s
2379:)
2377:6
2372:)
2370:2
2365:)
2363:2
2358:)
2356:3
2345:h
2326:3
2316:i
2313:C
2308:2
2304:2
2300:2
2296:2
2292:2
2278:h
2273:2
2267:h
2263:3
2261:(
2258:6
2256:S
2248:3
2239:h
2237:T
2218:h
2198:1
2187:1
2185:Z
2182:1
2179:1
2161:1
2159:C
2151:2
2140:2
2138:Z
2135:1
2132:2
2104:2
2102:C
2094:3
2083:3
2079:3
2077:Z
2074:1
2071:3
2043:3
2041:C
2033:4
2022:4
2020:D
2017:2
1976:2
1974:D
1954:4
1952:A
1948:2
1908:T
1900:4
1889:4
1887:Z
1884:1
1880:4
1841:4
1839:C
1831:8
1820:8
1818:D
1815:2
1810:4
1769:D
1761:2
1750:2
1746:2
1744:Z
1741:1
1736:2
1732:*
1717:s
1715:C
1707:4
1696:4
1694:D
1691:2
1658:C
1650:6
1639:3
1635:6
1633:D
1630:2
1597:C
1578:4
1576:S
1573:3
1568:4
1529:d
1527:T
1462:)
1460:4
1455:)
1453:s
1448:)
1446:2
1441:)
1439:3
1428:d
1409:d
1401:4
1397:d
1393:4
1391:(
1389:4
1373:4
1364:d
1362:T
1355:d
1335:1
1324:1
1322:Z
1319:1
1316:1
1298:1
1296:C
1288:2
1277:2
1275:Z
1272:1
1269:2
1241:2
1239:C
1231:3
1219:3
1217:Z
1213:1
1210:3
1182:3
1180:C
1172:4
1160:4
1158:D
1154:3
1090:2
1088:D
1068:4
1066:A
1062:2
999:T
933:3
929:6
927:C
923:4
919:G
914:d
910:G
906:G
902:d
898:G
890:4
888:A
883:3
875:2
835:4
832:A
820:2
817:D
793:T
627:d
561:h
426:2
423:2
411:2
409:C
399:3
397:C
387:3
385:C
335:4
331:4
329:A
318:4
252:h
250:I
206:h
204:O
160:d
158:T
102:D
66:C
42:s
40:C
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