416:
4575:
1373:
4513:
4993:
4986:
4979:
4972:
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546:
539:
525:
518:
532:
1387:
1380:
506:
499:
485:
478:
492:
1359:
157:
1366:
1460:
1432:
1439:
1453:
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3582:
3940:
1297:
1291:
1282:
1276:
1267:
3257:
3733:
1345:
1339:
1330:
1324:
1318:
1312:
1303:
255:
26:
3350:
5011:
32:
1474:
282:
391:(with curved faces and edges, but the same combinatorial structure) was the optimal soap bubble foam. However, a number of less symmetrical structures have later been found to be more efficient foams of soap bubbles, among which the
3543:
3509:
3412:
3373:
1038:
970:
932:
884:
874:
4559:
4180:
4142:
4060:
4022:
3885:
3844:
3683:
3492:
3451:
3326:
3181:
2699:
2666:
2633:
2600:
2529:
2289:
2248:
1950:
1087:
1019:
923:
827:
729:
605:
236:
5022:
Nonuniform variants with symmetry and two types of truncated octahedra can be doubled by placing the two types of truncated octahedra to produce a nonuniform honeycomb with
4899:
4889:
4802:
4198:
4188:
4078:
4068:
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3756:
3694:
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1250:
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778:
4918:
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2111:
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1982:
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1911:
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2098:
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1955:
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1806:
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975:
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93:
83:
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2813:
2439:
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1134:
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4382:
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4258:
3977:
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3892:
3805:
3775:
3634:
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3287:
3267:
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3019:
3009:
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2429:
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2326:
2284:
2243:
2199:
2177:
2121:
2088:
2078:
2055:
2035:
2012:
2002:
1992:
1921:
1869:
1836:
1792:
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1749:
1739:
1706:
1696:
1676:
1663:
1653:
1643:
1519:
1509:
1499:
1489:
1202:
1173:
1143:
1129:
952:
866:
836:
770:
740:
103:
73:
4894:
4193:
4073:
3958:
3699:
3600:
2262:
1245:
1103:
879:
783:
4865:
4846:
4836:
4826:
4652:
4634:
4624:
4614:
4481:
4471:
4461:
4415:
4405:
4395:
4377:
4349:
4339:
4329:
4301:
4283:
4273:
4263:
3800:
3790:
3780:
3639:
3629:
3619:
3397:
3113:
3080:
3047:
3014:
2981:
2948:
2915:
2882:
2831:
2798:
2737:
2684:
2651:
2618:
2585:
2563:
2553:
2543:
2514:
2424:
2136:
2126:
2116:
2093:
2083:
2073:
2050:
2040:
2030:
2007:
1997:
1987:
1965:
1936:
1926:
1916:
1874:
1864:
1854:
1831:
1821:
1811:
1787:
1777:
1767:
1744:
1734:
1724:
1701:
1691:
1681:
1658:
1648:
1638:
1616:
1606:
1596:
1514:
1504:
1494:
1197:
1168:
1158:
1148:
947:
861:
851:
841:
765:
755:
745:
98:
88:
78:
5164:(Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, Architectonic and Catoptric tessellations, p 292-298, includes all the nonprismatic forms)
438:
can be orthogonally projected into the euclidean plane with various symmetry arrangements. The highest (hexagonal) symmetry form projects into a nonuniform
5218:(On the regular and semiregular nets of polyhedra and on the corresponding correlative nets), Mem. Società Italiana della Scienze, Ser.3, 14 (1905) 75–129.
4601:
from the truncated octahedra with disphenoid tetrahedral cells created in the gaps. There are three constructions from three related
5088:
344:
5195:
5161:
1527:
generates 15 permutations of uniform tessellations, 9 with distinct geometry including the alternated cubic honeycomb. The
5190:, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995,
1531:
cubic honeycomb (also known as the runcinated tesseractic honeycomb) is geometrically identical to the cubic honeycomb.
3144:
2447:
generates 9 permutations of uniform tessellations, 4 with distinct geometry including the alternated cubic honeycomb.
5248:
5002:
352:
248:
4703:
3132:
1883:
1840:
5173:(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)
2404:
415:
5303:
5298:
3213:
3066:
2703:
2145:
1796:
392:
5236:
4568:
3525:
3187:
2817:
2604:
2208:
618:. These uniform symmetries can be represented by coloring differently the cells in each construction.
4528:
4149:
4111:
4029:
3991:
3854:
3813:
3652:
3461:
3420:
3295:
3150:
1056:
988:
892:
796:
698:
610:. This honeycomb has four uniform constructions, with the truncated octahedral cells having different
574:
205:
5198:
3918:
3033:
3000:
2967:
2470:
1753:
1710:
1554:
1478:
439:
4699:. These have symmetry , and respectively. The first and last symmetry can be doubled as ] and ].
4574:
4229:
330:
42:
3710:
2293:
447:
443:
310:
1372:
178:
4602:
4594:
3559:
2850:
2670:
2637:
2102:
2059:
560:
360:
65:
4512:
5293:
5269:
5149:
162:
5038:
5023:
2016:
1528:
1258:
615:
376:
314:
306:
298:
183:
114:
4992:
4985:
4978:
4971:
4964:
1386:
545:
538:
531:
524:
517:
8:
1379:
564:
402:
tessellation for 3-space. The coordinates of the vertices for one octahedron represent a
5145:
5072:
568:
380:
364:
336:
174:
144:
5216:
Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative
5177:
4236:
410:
of (1,2,3,4). The tessellation is formed by translated copies within the hyperplane.
49:
5266:
5244:
5230:
5191:
5157:
4585:
505:
498:
491:
484:
477:
326:
302:
128:
5223:
1358:
313:
cubes). It has 4 truncated octahedra around each vertex. Being composed entirely of
156:
5211:
5044:
This honeycomb can then be alternated to produce another nonuniform honeycomb with
3220:
1365:
273:
5093:
5027:
5005:. The centers of the icosahedra are located at the fcc positions of the lattice.
4794:
4250:
2934:
2358:
1667:
1116:
423:
322:
318:
269:
265:
3581:
5181:
5098:
1459:
1452:
1445:
1431:
3939:
3256:
1438:
5287:
5117:
4775:
4520:
3732:
3183:
2444:
1524:
1352:
1344:
1338:
1329:
1323:
1317:
1311:
1302:
691:
611:
607:
399:
198:
1296:
1290:
1281:
1275:
1266:
254:
294:
285:
The bitruncated cubic honeycomb shown here in relation to a cubic honeycomb
25:
5053:
5045:
4715:
4501:
4497:
3201:
2458:
1542:
627:
407:
384:
356:
170:
5241:
The
Geometrical Foundation of Natural Structure: A Source Book of Design
5049:
4598:
403:
5274:
5068:
4753:
3208:
2465:
1549:
669:
5076:
5064:
3349:
5264:
3186:. The symmetry can be multiplied by the symmetry of rings in the
133:
1473:
281:
5010:
5120:
23:
5001:
This honeycomb is represented in the boron atoms of the
359:
can not tessellate space alone, this dual has identical
31:
5030:(as ditrigonal trapezoprisms). Its vertex figure is a
4531:
4152:
4114:
4032:
3994:
3857:
3816:
3655:
3464:
3423:
3298:
3153:
1481:{6,4|4} contains the hexagons of this honeycomb.
1059:
991:
895:
799:
701:
577:
442:. A square symmetry projection forms two overlapping
208:
1468:
325:, with 2 hexagons and one square on each edge, and
5188:Kaleidoscopes: Selected Writings of H.S.M. Coxeter
4553:
4174:
4136:
4054:
4016:
3879:
3838:
3677:
3486:
3445:
3320:
3175:
1081:
1013:
917:
821:
723:
599:
230:
5285:
422:The tessellation is the highest tessellation of
5224:"3D Euclidean Honeycombs o4x3x4o - batch - O16"
4702:The dual honeycomb is made of cells called
4220:
18:
4217:
559:The vertex figure for this honeycomb is a
15:
5235:
5089:Architectonic and catoptric tessellation
1472:
345:Architectonic and catoptric tessellation
280:
5231:Uniform Honeycombs in 3-Space: 05-Batch
5123:6-1 cases, skipping one with zero marks
4221:Alternated bitruncated cubic honeycomb
5286:
5056:(as sphenoids). Its vertex figure has
5265:
406:of integers in 4-space, specifically
5221:
5204:Regular and Semi Regular Polytopes I
5075:(divided into two sets of 2), and 4
5017:
4084:
5132:Williams, 1979, p 199, Figure 5-38.
13:
4213:
387:conjectured that a variant of the
14:
5315:
5258:
5052:(as triangular antiprisms), and
5009:
4991:
4984:
4977:
4970:
4963:
4926:
4921:
4916:
4911:
4906:
4897:
4892:
4887:
4878:
4873:
4868:
4863:
4858:
4849:
4844:
4839:
4834:
4829:
4824:
4819:
4810:
4805:
4800:
4693:
4688:
4683:
4678:
4673:
4665:
4660:
4655:
4650:
4645:
4637:
4632:
4627:
4622:
4617:
4612:
4607:
4573:
4554:{\displaystyle {\tilde {C}}_{3}}
4511:
4484:
4479:
4474:
4469:
4464:
4459:
4454:
4446:
4441:
4436:
4431:
4426:
4418:
4413:
4408:
4403:
4398:
4393:
4388:
4380:
4375:
4370:
4365:
4360:
4352:
4347:
4342:
4337:
4332:
4327:
4322:
4314:
4309:
4304:
4299:
4294:
4286:
4281:
4276:
4271:
4266:
4261:
4256:
4196:
4191:
4186:
4175:{\displaystyle {\tilde {C}}_{3}}
4137:{\displaystyle {\tilde {A}}_{3}}
4076:
4071:
4066:
4055:{\displaystyle {\tilde {C}}_{3}}
4017:{\displaystyle {\tilde {A}}_{3}}
3980:
3975:
3970:
3961:
3956:
3951:
3938:
3910:
3905:
3900:
3895:
3890:
3880:{\displaystyle {\tilde {C}}_{3}}
3839:{\displaystyle {\tilde {A}}_{3}}
3803:
3798:
3793:
3788:
3783:
3778:
3773:
3764:
3759:
3754:
3749:
3744:
3731:
3702:
3697:
3692:
3678:{\displaystyle {\tilde {A}}_{3}}
3642:
3637:
3632:
3627:
3622:
3617:
3612:
3603:
3598:
3593:
3580:
3551:
3546:
3541:
3536:
3531:
3517:
3512:
3507:
3502:
3497:
3487:{\displaystyle {\tilde {B}}_{3}}
3446:{\displaystyle {\tilde {A}}_{3}}
3410:
3405:
3400:
3395:
3390:
3381:
3376:
3371:
3366:
3361:
3348:
3321:{\displaystyle {\tilde {A}}_{3}}
3285:
3280:
3275:
3270:
3265:
3255:
3176:{\displaystyle {\tilde {A}}_{3}}
3145:five distinct uniform honeycombs
3126:
3121:
3116:
3111:
3106:
3093:
3088:
3083:
3078:
3073:
3060:
3055:
3050:
3045:
3040:
3027:
3022:
3017:
3012:
3007:
2994:
2989:
2984:
2979:
2974:
2961:
2956:
2951:
2946:
2941:
2928:
2923:
2918:
2913:
2908:
2895:
2890:
2885:
2880:
2875:
2844:
2839:
2834:
2829:
2824:
2811:
2806:
2801:
2796:
2791:
2779:
2774:
2769:
2764:
2759:
2750:
2745:
2740:
2735:
2730:
2697:
2692:
2687:
2682:
2677:
2664:
2659:
2654:
2649:
2644:
2631:
2626:
2621:
2616:
2611:
2598:
2593:
2588:
2583:
2578:
2566:
2561:
2556:
2551:
2546:
2541:
2536:
2527:
2522:
2517:
2512:
2507:
2437:
2432:
2427:
2422:
2417:
2398:
2393:
2388:
2375:
2370:
2365:
2352:
2347:
2342:
2329:
2324:
2319:
2287:
2282:
2277:
2265:
2260:
2255:
2246:
2241:
2236:
2202:
2197:
2192:
2180:
2175:
2170:
2139:
2134:
2129:
2124:
2119:
2114:
2109:
2096:
2091:
2086:
2081:
2076:
2071:
2066:
2053:
2048:
2043:
2038:
2033:
2028:
2023:
2010:
2005:
2000:
1995:
1990:
1985:
1980:
1968:
1963:
1958:
1953:
1948:
1939:
1934:
1929:
1924:
1919:
1914:
1909:
1877:
1872:
1867:
1862:
1857:
1852:
1847:
1834:
1829:
1824:
1819:
1814:
1809:
1804:
1790:
1785:
1780:
1775:
1770:
1765:
1760:
1747:
1742:
1737:
1732:
1727:
1722:
1717:
1704:
1699:
1694:
1689:
1684:
1679:
1674:
1661:
1656:
1651:
1646:
1641:
1636:
1631:
1619:
1614:
1609:
1604:
1599:
1594:
1589:
1517:
1512:
1507:
1502:
1497:
1492:
1487:
1469:Related polyhedra and honeycombs
1458:
1451:
1444:
1437:
1430:
1385:
1378:
1371:
1364:
1357:
1343:
1337:
1328:
1322:
1316:
1310:
1301:
1295:
1289:
1280:
1274:
1265:
1248:
1243:
1238:
1229:
1224:
1219:
1214:
1209:
1200:
1195:
1190:
1185:
1180:
1171:
1166:
1161:
1156:
1151:
1146:
1141:
1132:
1127:
1122:
1106:
1101:
1096:
1082:{\displaystyle {\tilde {A}}_{3}}
1046:
1041:
1036:
1031:
1026:
1014:{\displaystyle {\tilde {A}}_{3}}
978:
973:
968:
963:
958:
950:
945:
940:
935:
930:
918:{\displaystyle {\tilde {B}}_{3}}
882:
877:
872:
864:
859:
854:
849:
844:
839:
834:
822:{\displaystyle {\tilde {C}}_{3}}
786:
781:
776:
768:
763:
758:
753:
748:
743:
738:
724:{\displaystyle {\tilde {C}}_{3}}
600:{\displaystyle {\tilde {A}}_{3}}
544:
537:
530:
523:
516:
504:
497:
490:
483:
476:
414:
353:disphenoid tetrahedral honeycomb
253:
249:Disphenoid tetrahedral honeycomb
231:{\displaystyle {\tilde {C}}_{3}}
155:
101:
96:
91:
86:
81:
76:
71:
30:
24:
5206:, (1.9 Uniform space-fillings)
4581:
4564:
4519:
4507:
4493:
4249:
4235:
4225:
622:Five uniform colorings by cell
261:
242:
197:
169:
151:
140:
124:
110:
64:
48:
38:
5180:, Uniform tilings of 3-space.
5126:
5111:
4539:
4160:
4122:
4040:
4002:
3865:
3824:
3663:
3472:
3431:
3306:
3161:
1067:
999:
903:
807:
709:
585:
446:, which combine together as a
429:
347:list, with its dual called an
216:
1:
5139:
690:
398:The honeycomb represents the
5169:Uniform Panoploid Tetracombs
4934:
4792:
1392:
1350:
1256:
19:Bitruncated cubic honeycomb
7:
5243:. Dover Publications, Inc.
5202:(Paper 22) H.S.M. Coxeter,
5082:
5063:symmetry and consists of 2
5003:α-rhombohedral crystal
554:
436:bitruncated cubic honeycomb
389:bitruncated cubic honeycomb
370:
291:bitruncated cubic honeycomb
10:
5320:
5270:"Space-filling polyhedron"
689:
375:It can be realized as the
4704:ten-of-diamonds decahedra
4569:Ten-of-diamonds honeycomb
3949:
3936:
3195:
3143:This honeycomb is one of
2452:
1536:
1479:regular skew apeirohedron
467:
440:rhombitrihexagonal tiling
5154:The Symmetries of Things
5104:
4597:, creating pyritohedral
395:appears to be the best.
5046:pyritohedral icosahedra
4710:Five uniform colorings
4603:Coxeter-Dynkin diagrams
3188:Coxeter–Dynkin diagrams
454:Orthogonal projections
448:chamfered square tiling
444:truncated square tiling
393:Weaire–Phelan structure
339:calls this honeycomb a
4593:This honeycomb can be
4555:
4176:
4138:
4056:
4018:
3881:
3840:
3679:
3488:
3447:
3322:
3177:
1482:
1083:
1015:
919:
823:
725:
601:
561:disphenoid tetrahedron
361:disphenoid tetrahedron
341:truncated octahedrille
286:
232:
66:Coxeter-Dynkin diagram
5150:Chaim Goodman-Strauss
4556:
4177:
4139:
4057:
4019:
3882:
3841:
3680:
3489:
3448:
3323:
3178:
1476:
1084:
1016:
920:
824:
726:
616:Wythoff constructions
602:
563:, and it is also the
355:. Although a regular
284:
233:
163:tetragonal disphenoid
5171:, Manuscript (2006)
5039:triangular bipyramid
4529:
4150:
4112:
4030:
3992:
3855:
3814:
3653:
3462:
3421:
3296:
3151:
1057:
989:
893:
797:
699:
575:
377:Voronoi tessellation
349:oblate tetrahedrille
246:Oblate tetrahedrille
206:
5304:Uniform 4-polytopes
5299:Bitruncated tilings
5222:Klitzing, Richard.
5073:isosceles triangles
5024:truncated octahedra
4711:
3237:Honeycomb diagrams
3147:constructed by the
1259:truncated octahedra
623:
565:Goursat tetrahedron
455:
315:truncated octahedra
309:(or, equivalently,
307:truncated octahedra
293:is a space-filling
5267:Weisstein, Eric W.
5167:George Olshevsky,
4709:
4551:
4172:
4134:
4052:
4014:
3877:
3836:
3675:
3484:
3443:
3318:
3173:
1483:
1079:
1011:
915:
819:
721:
621:
597:
569:fundamental domain
453:
381:body-centred cubic
365:isosceles triangle
337:John Horton Conway
331:uniform honeycombs
329:. It is one of 28
287:
228:
175:Fibrifold notation
145:isosceles triangle
5196:978-0-471-01003-6
5184:4(1994), 49 - 56.
5162:978-1-56881-220-5
5148:, Heidi Burgiel,
5077:scalene triangles
5018:Related polytopes
4999:
4998:
4960:colored by cells
4591:
4590:
4586:vertex-transitive
4542:
4211:
4210:
4163:
4125:
4043:
4005:
3868:
3827:
3666:
3475:
3434:
3309:
3164:
3141:
3140:
2413:
2412:
1466:
1465:
1070:
1002:
906:
810:
712:
588:
552:
551:
327:vertex-transitive
303:Euclidean 3-space
279:
278:
219:
43:Uniform honeycomb
5311:
5280:
5279:
5254:
5237:Williams, Robert
5227:
5133:
5130:
5124:
5115:
5028:hexagonal prisms
5013:
4995:
4988:
4981:
4974:
4967:
4931:
4930:
4929:
4925:
4924:
4920:
4919:
4915:
4914:
4910:
4909:
4902:
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4900:
4896:
4895:
4891:
4890:
4883:
4882:
4881:
4877:
4876:
4872:
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4867:
4866:
4862:
4861:
4854:
4853:
4852:
4848:
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4837:
4833:
4832:
4828:
4827:
4823:
4822:
4815:
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4813:
4809:
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4737:
4730:
4723:
4712:
4708:
4698:
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4692:
4691:
4687:
4686:
4682:
4681:
4677:
4676:
4670:
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4654:
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4625:
4621:
4620:
4616:
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4611:
4610:
4577:
4560:
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4557:
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4549:
4544:
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4535:
4515:
4489:
4488:
4487:
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4482:
4478:
4477:
4473:
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4468:
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4463:
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4458:
4457:
4451:
4450:
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4430:
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4422:
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4417:
4416:
4412:
4411:
4407:
4406:
4402:
4401:
4397:
4396:
4392:
4391:
4385:
4384:
4383:
4379:
4378:
4374:
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4369:
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4364:
4363:
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4356:
4355:
4351:
4350:
4346:
4345:
4341:
4340:
4336:
4335:
4331:
4330:
4326:
4325:
4319:
4318:
4317:
4313:
4312:
4308:
4307:
4303:
4302:
4298:
4297:
4291:
4290:
4289:
4285:
4284:
4280:
4279:
4275:
4274:
4270:
4269:
4265:
4264:
4260:
4259:
4251:Coxeter diagrams
4230:Convex honeycomb
4218:
4201:
4200:
4199:
4195:
4194:
4190:
4189:
4181:
4179:
4178:
4173:
4171:
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4165:
4164:
4156:
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4127:
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4118:
4095:
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4069:
4061:
4059:
4058:
4053:
4051:
4050:
4045:
4044:
4036:
4023:
4021:
4020:
4015:
4013:
4012:
4007:
4006:
3998:
3985:
3984:
3983:
3979:
3978:
3974:
3973:
3966:
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3960:
3959:
3955:
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3942:
3929:
3915:
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3909:
3908:
3904:
3903:
3899:
3898:
3894:
3893:
3886:
3884:
3883:
3878:
3876:
3875:
3870:
3869:
3861:
3845:
3843:
3842:
3837:
3835:
3834:
3829:
3828:
3820:
3808:
3807:
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3801:
3797:
3796:
3792:
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3776:
3769:
3768:
3767:
3763:
3762:
3758:
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3752:
3748:
3747:
3735:
3721:
3707:
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3705:
3701:
3700:
3696:
3695:
3684:
3682:
3681:
3676:
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3673:
3668:
3667:
3659:
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3641:
3640:
3636:
3635:
3631:
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3626:
3625:
3621:
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3616:
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3608:
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3601:
3597:
3596:
3584:
3570:
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3511:
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3506:
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3501:
3500:
3493:
3491:
3490:
3485:
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3482:
3477:
3476:
3468:
3452:
3450:
3449:
3444:
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3441:
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3435:
3427:
3415:
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3413:
3409:
3408:
3404:
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3327:
3325:
3324:
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3311:
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3302:
3290:
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3245:
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3120:
3119:
3115:
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3032:
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3030:
3026:
3025:
3021:
3020:
3016:
3015:
3011:
3010:
2999:
2998:
2997:
2993:
2992:
2988:
2987:
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2978:
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2966:
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2900:
2899:
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2879:
2878:
2862:
2849:
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2847:
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2833:
2832:
2828:
2827:
2816:
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2814:
2810:
2809:
2805:
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2800:
2799:
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2794:
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2782:
2778:
2777:
2773:
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2768:
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2763:
2762:
2755:
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2753:
2749:
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2734:
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2715:
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2700:
2696:
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2663:
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2601:
2597:
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2569:
2565:
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2559:
2555:
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2544:
2540:
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2532:
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2530:
2526:
2525:
2521:
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2515:
2511:
2510:
2493:
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2426:
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2421:
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2403:
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2328:
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2306:
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2281:
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2270:
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2268:
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2263:
2259:
2258:
2251:
2250:
2249:
2245:
2244:
2240:
2239:
2221:
2207:
2206:
2205:
2201:
2200:
2196:
2195:
2185:
2184:
2183:
2179:
2178:
2174:
2173:
2157:
2144:
2143:
2142:
2138:
2137:
2133:
2132:
2128:
2127:
2123:
2122:
2118:
2117:
2113:
2112:
2101:
2100:
2099:
2095:
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2074:
2070:
2069:
2058:
2057:
2056:
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2051:
2047:
2046:
2042:
2041:
2037:
2036:
2032:
2031:
2027:
2026:
2015:
2014:
2013:
2009:
2008:
2004:
2003:
1999:
1998:
1994:
1993:
1989:
1988:
1984:
1983:
1973:
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1967:
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1962:
1961:
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1944:
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663:
656:
649:
642:
635:
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603:
598:
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581:
548:
541:
534:
527:
520:
508:
501:
494:
487:
480:
456:
452:
424:parallelohedrons
418:
351:, also called a
257:
237:
235:
234:
229:
227:
226:
221:
220:
212:
187:
179:Coxeter notation
159:
106:
105:
104:
100:
99:
95:
94:
90:
89:
85:
84:
80:
79:
75:
74:
34:
28:
16:
5319:
5318:
5314:
5313:
5312:
5310:
5309:
5308:
5284:
5283:
5261:
5251:
5178:Branko Grünbaum
5142:
5137:
5136:
5131:
5127:
5116:
5112:
5107:
5094:Cubic honeycomb
5085:
5061:
5035:
5020:
4959:
4949:
4927:
4922:
4917:
4912:
4907:
4905:
4898:
4893:
4888:
4886:
4879:
4874:
4869:
4864:
4859:
4857:
4850:
4845:
4840:
4835:
4830:
4825:
4820:
4818:
4811:
4806:
4801:
4799:
4795:Coxeter diagram
4742:
4735:
4728:
4721:
4694:
4689:
4684:
4679:
4674:
4672:
4666:
4661:
4656:
4651:
4646:
4644:
4638:
4633:
4628:
4623:
4618:
4613:
4608:
4606:
4571:
4545:
4534:
4533:
4532:
4530:
4527:
4526:
4500:
4485:
4480:
4475:
4470:
4465:
4460:
4455:
4453:
4447:
4442:
4437:
4432:
4427:
4425:
4424:
4419:
4414:
4409:
4404:
4399:
4394:
4389:
4387:
4381:
4376:
4371:
4366:
4361:
4359:
4358:
4353:
4348:
4343:
4338:
4333:
4328:
4323:
4321:
4315:
4310:
4305:
4300:
4295:
4293:
4292:
4287:
4282:
4277:
4272:
4267:
4262:
4257:
4255:
4244:
4242:
4237:Schläfli symbol
4216:
4214:Alternated form
4207:
4197:
4192:
4187:
4185:
4166:
4155:
4154:
4153:
4151:
4148:
4147:
4145:
4128:
4117:
4116:
4115:
4113:
4110:
4109:
4105:
4097:
4093:
4087:
4077:
4072:
4067:
4065:
4046:
4035:
4034:
4033:
4031:
4028:
4027:
4025:
4008:
3997:
3996:
3995:
3993:
3990:
3989:
3981:
3976:
3971:
3969:
3967:
3962:
3957:
3952:
3950:
3946:
3930:
3927:
3921:
3911:
3906:
3901:
3896:
3891:
3889:
3871:
3860:
3859:
3858:
3856:
3853:
3852:
3850:
3849:
3830:
3819:
3818:
3817:
3815:
3812:
3811:
3804:
3799:
3794:
3789:
3784:
3779:
3774:
3772:
3770:
3765:
3760:
3755:
3750:
3745:
3743:
3739:
3723:
3719:
3713:
3703:
3698:
3693:
3691:
3688:
3669:
3658:
3657:
3656:
3654:
3651:
3650:
3643:
3638:
3633:
3628:
3623:
3618:
3613:
3611:
3609:
3604:
3599:
3594:
3592:
3588:
3572:
3568:
3562:
3552:
3547:
3542:
3537:
3532:
3530:
3528:
3518:
3513:
3508:
3503:
3498:
3496:
3478:
3467:
3466:
3465:
3463:
3460:
3459:
3457:
3456:
3437:
3426:
3425:
3424:
3422:
3419:
3418:
3411:
3406:
3401:
3396:
3391:
3389:
3387:
3382:
3377:
3372:
3367:
3362:
3360:
3356:
3340:
3336:
3312:
3301:
3300:
3299:
3297:
3294:
3293:
3286:
3281:
3276:
3271:
3266:
3264:
3247:
3243:
3233:
3228:
3222:
3215:
3203:
3167:
3156:
3155:
3154:
3152:
3149:
3148:
3135:
3127:
3122:
3117:
3112:
3107:
3105:
3102:
3094:
3089:
3084:
3079:
3074:
3072:
3069:
3061:
3056:
3051:
3046:
3041:
3039:
3036:
3028:
3023:
3018:
3013:
3008:
3006:
3003:
2995:
2990:
2985:
2980:
2975:
2973:
2970:
2962:
2957:
2952:
2947:
2942:
2940:
2937:
2929:
2924:
2919:
2914:
2909:
2907:
2896:
2891:
2886:
2881:
2876:
2874:
2864:
2860:
2853:
2845:
2840:
2835:
2830:
2825:
2823:
2820:
2812:
2807:
2802:
2797:
2792:
2790:
2780:
2775:
2770:
2765:
2760:
2758:
2756:
2751:
2746:
2741:
2736:
2731:
2729:
2725:
2717:
2713:
2706:
2698:
2693:
2688:
2683:
2678:
2676:
2673:
2665:
2660:
2655:
2650:
2645:
2643:
2640:
2632:
2627:
2622:
2617:
2612:
2610:
2607:
2599:
2594:
2589:
2584:
2579:
2577:
2567:
2562:
2557:
2552:
2547:
2542:
2537:
2535:
2533:
2528:
2523:
2518:
2513:
2508:
2506:
2502:
2495:
2491:
2478:
2472:
2460:
2438:
2433:
2428:
2423:
2418:
2416:
2407:
2399:
2394:
2389:
2387:
2384:
2376:
2371:
2366:
2364:
2361:
2353:
2348:
2343:
2341:
2330:
2325:
2320:
2318:
2308:
2304:
2296:
2288:
2283:
2278:
2276:
2266:
2261:
2256:
2254:
2252:
2247:
2242:
2237:
2235:
2231:
2223:
2219:
2211:
2203:
2198:
2193:
2191:
2181:
2176:
2171:
2169:
2159:
2155:
2148:
2140:
2135:
2130:
2125:
2120:
2115:
2110:
2108:
2105:
2097:
2092:
2087:
2082:
2077:
2072:
2067:
2065:
2062:
2054:
2049:
2044:
2039:
2034:
2029:
2024:
2022:
2019:
2011:
2006:
2001:
1996:
1991:
1986:
1981:
1979:
1969:
1964:
1959:
1954:
1949:
1947:
1945:
1940:
1935:
1930:
1925:
1920:
1915:
1910:
1908:
1904:
1897:
1893:
1886:
1878:
1873:
1868:
1863:
1858:
1853:
1848:
1846:
1843:
1835:
1830:
1825:
1820:
1815:
1810:
1805:
1803:
1802:
1799:
1791:
1786:
1781:
1776:
1771:
1766:
1761:
1759:
1756:
1748:
1743:
1738:
1733:
1728:
1723:
1718:
1716:
1713:
1705:
1700:
1695:
1690:
1685:
1680:
1675:
1673:
1670:
1662:
1657:
1652:
1647:
1642:
1637:
1632:
1630:
1620:
1615:
1610:
1605:
1600:
1595:
1590:
1588:
1579:
1575:
1562:
1556:
1544:
1518:
1513:
1508:
1503:
1498:
1493:
1488:
1486:
1471:
1426:
1424:
1417:
1413:
1409:
1405:
1401:
1397:
1395:
1336:
1309:
1288:
1273:
1264:
1249:
1244:
1239:
1237:
1230:
1225:
1220:
1215:
1210:
1208:
1201:
1196:
1191:
1186:
1181:
1179:
1172:
1167:
1162:
1157:
1152:
1147:
1142:
1140:
1133:
1128:
1123:
1121:
1117:Coxeter diagram
1107:
1102:
1097:
1095:
1094:
1092:
1090:
1073:
1062:
1061:
1060:
1058:
1055:
1054:
1047:
1042:
1037:
1032:
1027:
1025:
1024:
1022:
1021:
1005:
994:
993:
992:
990:
987:
986:
979:
974:
969:
964:
959:
957:
951:
946:
941:
936:
931:
929:
928:
926:
925:
909:
898:
897:
896:
894:
891:
890:
883:
878:
873:
871:
865:
860:
855:
850:
845:
840:
835:
833:
832:
830:
829:
813:
802:
801:
800:
798:
795:
794:
787:
782:
777:
775:
769:
764:
759:
754:
749:
744:
739:
737:
736:
734:
732:
715:
704:
703:
702:
700:
697:
696:
661:
654:
647:
640:
633:
591:
580:
579:
578:
576:
573:
572:
557:
432:
373:
323:edge-transitive
319:cell-transitive
251:
247:
222:
211:
210:
209:
207:
204:
203:
192:
190:
185:
177:
173:
160:
132:
102:
97:
92:
87:
82:
77:
72:
70:
59:
55:
50:Schläfli symbol
12:
11:
5:
5317:
5307:
5306:
5301:
5296:
5282:
5281:
5260:
5259:External links
5257:
5256:
5255:
5249:
5233:
5228:
5219:
5209:
5208:
5207:
5185:
5182:Geombinatorics
5175:
5165:
5146:John H. Conway
5141:
5138:
5135:
5134:
5125:
5109:
5108:
5106:
5103:
5102:
5101:
5099:Brillouin zone
5096:
5091:
5084:
5081:
5059:
5033:
5019:
5016:
5015:
5014:
4997:
4996:
4989:
4982:
4975:
4968:
4961:
4955:
4954:
4951:
4946:
4943:
4940:
4937:
4933:
4932:
4903:
4884:
4855:
4816:
4797:
4791:
4790:
4788:
4785:
4783:
4781:
4778:
4772:
4771:
4768:
4765:
4762:
4759:
4756:
4750:
4749:
4746:
4739:
4732:
4725:
4718:
4589:
4588:
4583:
4579:
4578:
4566:
4562:
4561:
4548:
4541:
4538:
4523:
4517:
4516:
4509:
4505:
4504:
4495:
4491:
4490:
4253:
4247:
4246:
4239:
4233:
4232:
4227:
4223:
4222:
4215:
4212:
4209:
4208:
4203:
4183:
4169:
4162:
4159:
4131:
4124:
4121:
4107:
4102:
4099:
4089:
4088:
4083:
4063:
4049:
4042:
4039:
4011:
4004:
4001:
3986:
3948:
3943:
3935:
3932:
3923:
3922:
3917:
3887:
3874:
3867:
3864:
3847:
3833:
3826:
3823:
3809:
3741:
3736:
3728:
3725:
3715:
3714:
3709:
3689:
3686:
3672:
3665:
3662:
3648:
3590:
3585:
3577:
3574:
3564:
3563:
3558:
3524:
3494:
3481:
3474:
3471:
3454:
3440:
3433:
3430:
3416:
3358:
3353:
3345:
3342:
3332:
3331:
3328:
3315:
3308:
3305:
3291:
3262:
3260:
3252:
3249:
3239:
3238:
3235:
3230:
3225:
3218:
3211:
3206:
3198:
3197:
3196:A3 honeycombs
3170:
3163:
3160:
3139:
3138:
3133:
3100:
3067:
3034:
3001:
2968:
2935:
2904:
2901:
2872:
2869:
2866:
2856:
2855:
2851:
2818:
2788:
2785:
2727:
2722:
2719:
2709:
2708:
2704:
2671:
2638:
2605:
2575:
2572:
2504:
2500:
2497:
2487:
2486:
2483:
2480:
2475:
2468:
2463:
2455:
2454:
2453:B3 honeycombs
2411:
2410:
2405:
2382:
2359:
2338:
2335:
2316:
2313:
2310:
2300:
2299:
2294:
2274:
2271:
2233:
2228:
2225:
2215:
2214:
2209:
2189:
2186:
2167:
2164:
2161:
2151:
2150:
2146:
2103:
2060:
2017:
1977:
1974:
1906:
1902:
1899:
1889:
1888:
1884:
1841:
1797:
1754:
1711:
1668:
1628:
1625:
1586:
1584:
1581:
1571:
1570:
1567:
1564:
1559:
1552:
1547:
1539:
1538:
1537:C3 honeycombs
1470:
1467:
1464:
1463:
1456:
1449:
1442:
1435:
1428:
1420:
1419:
1415:
1411:
1407:
1403:
1399:
1391:
1390:
1383:
1376:
1369:
1362:
1355:
1349:
1348:
1333:
1306:
1285:
1270:
1261:
1255:
1254:
1235:
1206:
1177:
1138:
1119:
1113:
1112:
1076:
1069:
1066:
1052:
1008:
1001:
998:
984:
912:
905:
902:
888:
816:
809:
806:
792:
718:
711:
708:
694:
688:
687:
684:
681:
678:
675:
672:
666:
665:
658:
651:
644:
637:
630:
612:Coxeter groups
594:
587:
584:
556:
553:
550:
549:
542:
535:
528:
521:
514:
510:
509:
502:
495:
488:
481:
474:
470:
469:
466:
463:
460:
431:
428:
420:
419:
372:
369:
277:
276:
263:
259:
258:
244:
240:
239:
225:
218:
215:
201:
195:
194:
181:
167:
166:
153:
149:
148:
142:
138:
137:
126:
122:
121:
112:
108:
107:
68:
62:
61:
57:
52:
46:
45:
40:
36:
35:
21:
20:
9:
6:
4:
3:
2:
5316:
5305:
5302:
5300:
5297:
5295:
5292:
5291:
5289:
5277:
5276:
5271:
5268:
5263:
5262:
5252:
5250:0-486-23729-X
5246:
5242:
5238:
5234:
5232:
5229:
5225:
5220:
5217:
5213:
5210:
5205:
5201:
5200:
5199:
5197:
5193:
5189:
5186:
5183:
5179:
5176:
5174:
5170:
5166:
5163:
5159:
5155:
5151:
5147:
5144:
5143:
5129:
5122:
5118:
5114:
5110:
5100:
5097:
5095:
5092:
5090:
5087:
5086:
5080:
5078:
5074:
5070:
5066:
5062:
5055:
5051:
5047:
5042:
5040:
5036:
5029:
5025:
5012:
5008:
5007:
5006:
5004:
4994:
4990:
4987:
4983:
4980:
4976:
4973:
4969:
4966:
4962:
4957:
4956:
4952:
4947:
4944:
4941:
4938:
4935:
4904:
4885:
4856:
4817:
4798:
4796:
4793:
4789:
4786:
4784:
4782:
4779:
4777:
4776:Coxeter group
4774:
4773:
4769:
4766:
4763:
4760:
4757:
4755:
4752:
4751:
4747:
4740:
4733:
4726:
4719:
4717:
4714:
4713:
4707:
4705:
4700:
4604:
4600:
4596:
4587:
4584:
4580:
4576:
4570:
4567:
4563:
4546:
4536:
4524:
4522:
4521:Coxeter group
4518:
4514:
4510:
4508:Vertex figure
4506:
4503:
4499:
4496:
4492:
4254:
4252:
4248:
4240:
4238:
4234:
4231:
4228:
4224:
4219:
4206:
4184:
4167:
4157:
4129:
4119:
4108:
4103:
4100:
4091:
4090:
4086:
4064:
4047:
4037:
4009:
3999:
3987:
3944:
3941:
3933:
3925:
3924:
3920:
3888:
3872:
3862:
3831:
3821:
3810:
3742:
3737:
3734:
3729:
3726:
3717:
3716:
3712:
3690:
3670:
3660:
3649:
3591:
3586:
3583:
3578:
3575:
3566:
3565:
3561:
3527:
3495:
3479:
3469:
3438:
3428:
3417:
3359:
3354:
3351:
3346:
3343:
3334:
3333:
3329:
3313:
3303:
3292:
3263:
3261:
3258:
3253:
3250:
3241:
3240:
3236:
3231:
3226:
3224:
3219:
3217:
3212:
3210:
3207:
3205:
3200:
3199:
3194:
3191:
3189:
3185:
3184:Coxeter group
3168:
3158:
3146:
3137:
3136:
3103:
3070:
3037:
3004:
2971:
2938:
2905:
2902:
2873:
2870:
2867:
2858:
2857:
2854:
2821:
2789:
2786:
2728:
2723:
2720:
2711:
2710:
2707:
2674:
2641:
2608:
2576:
2573:
2505:
2501:
2498:
2489:
2488:
2484:
2481:
2476:
2474:
2469:
2467:
2464:
2462:
2457:
2456:
2451:
2448:
2446:
2445:Coxeter group
2409:
2408:
2385:
2362:
2339:
2336:
2317:
2314:
2311:
2302:
2301:
2297:
2275:
2272:
2234:
2229:
2226:
2217:
2216:
2212:
2190:
2187:
2168:
2165:
2162:
2153:
2152:
2149:
2106:
2063:
2020:
1978:
1975:
1907:
1903:
1900:
1891:
1890:
1887:
1844:
1800:
1757:
1714:
1671:
1629:
1626:
1587:
1585:
1582:
1573:
1572:
1568:
1565:
1560:
1558:
1553:
1551:
1548:
1546:
1541:
1540:
1535:
1532:
1530:
1526:
1525:Coxeter group
1480:
1475:
1461:
1457:
1454:
1450:
1447:
1443:
1440:
1436:
1433:
1429:
1422:
1421:
1416:
1412:
1408:
1404:
1400:
1393:
1388:
1384:
1381:
1377:
1374:
1370:
1367:
1363:
1360:
1356:
1354:
1353:Vertex figure
1351:
1346:
1340:
1334:
1331:
1325:
1319:
1313:
1307:
1304:
1298:
1292:
1286:
1283:
1277:
1271:
1268:
1262:
1260:
1257:
1236:
1207:
1178:
1139:
1120:
1118:
1115:
1114:
1074:
1064:
1053:
1006:
996:
985:
910:
900:
889:
814:
804:
793:
716:
706:
695:
693:
692:Coxeter group
685:
682:
679:
676:
673:
671:
668:
667:
659:
652:
645:
638:
631:
629:
626:
625:
619:
617:
613:
609:
608:Coxeter group
592:
582:
570:
566:
562:
547:
543:
540:
536:
533:
529:
526:
522:
519:
515:
512:
511:
507:
503:
500:
496:
493:
489:
486:
482:
479:
475:
472:
471:
464:
461:
458:
457:
451:
449:
445:
441:
437:
427:
425:
417:
413:
412:
411:
409:
405:
401:
400:permutohedron
396:
394:
390:
386:
382:
378:
368:
366:
362:
358:
354:
350:
346:
342:
338:
334:
332:
328:
324:
321:. It is also
320:
316:
312:
308:
304:
300:
296:
292:
283:
275:
271:
267:
264:
260:
256:
250:
245:
241:
223:
213:
202:
200:
199:Coxeter group
196:
189:
182:
180:
176:
172:
168:
164:
158:
154:
152:Vertex figure
150:
146:
143:
139:
135:
130:
127:
123:
120:
118:
113:
109:
69:
67:
63:
53:
51:
47:
44:
41:
37:
33:
27:
22:
17:
5294:3-honeycombs
5273:
5240:
5215:
5203:
5187:
5172:
5168:
5153:
5128:
5113:
5057:
5043:
5031:
5021:
5000:
4701:
4592:
4204:
3142:
3099:
2906:
2414:
2381:
2340:
2273:Quarter × 2
1484:
558:
468:pmm (*2222)
435:
433:
426:in 3-space.
421:
408:permutations
397:
388:
374:
348:
340:
335:
295:tessellation
290:
288:
116:
5212:A. Andreini
5037:-symmetric
4716:Space group
4502:icosahedron
4498:tetrahedron
2726:↔ <>
2485:Honeycombs
1569:Honeycombs
628:Space group
465:p4m (*442)
462:p6m (*632)
430:Projections
385:Lord Kelvin
363:cells with
357:tetrahedron
311:bitruncated
305:made up of
171:Space group
141:Edge figure
5288:Categories
5140:References
5069:rectangles
5054:tetrahedra
4748:F23 (196)
4599:icosahedra
4595:alternated
4582:Properties
1425:Colored by
1418:(order 2)
1414:(order 1)
1410:(order 2)
1406:(order 4)
1402:(order 8)
571:) for the
404:hyperplane
262:Properties
125:Face types
5275:MathWorld
5152:, (2008)
5065:pentagons
5050:octahedra
4754:Fibrifold
4540:~
4241:2s{4,3,4}
4161:~
4123:~
4041:~
4003:~
3866:~
3825:~
3738:<2>
3664:~
3473:~
3432:~
3307:~
3209:Fibrifold
3162:~
2871:<>
2466:Fibrifold
2188:Half × 2
1550:Fibrifold
1398:symmetry
1068:~
1000:~
927:=<>
904:~
808:~
710:~
670:Fibrifold
586:~
459:Symmetry
383:lattice.
299:honeycomb
274:isochoric
217:~
111:Cell type
54:2t{4,3,4}
5239:(1979).
5083:See also
4953:quarter
3355:<>
3232:Extended
3229:diagram
3227:Extended
3223:symmetry
3221:Extended
3216:symmetry
2724:<>
2479:diagram
2477:Extended
2473:symmetry
2471:Extended
1563:diagram
1561:Extended
1557:symmetry
1555:Extended
1529:expanded
664:m (227)
657:3m (216)
555:Symmetry
371:Geometry
317:, it is
270:isotoxal
266:isogonal
60:{4,3,4}
5121:A000029
4950:double
4948:quarter
4939:double
4243:2s{4,3}
3330:(None)
1308:1:1:1:1
650:m (225)
643:m (221)
636:m (229)
379:of the
367:faces.
343:in his
188:m (229)
134:hexagon
5247:
5194:
5160:
4936:Order
4671:, and
4572:Cell:
4245:sr{3}
4202:
4098:(229)
4082:
3931:(204)
3916:
3724:(221)
3708:
3573:(227)
3557:
3523:
3341:(225)
3248:(216)
3234:group
3214:Square
2865:(221)
2718:(225)
2496:(225)
2482:Order
2415:The ,
2309:(229)
2224:(227)
2160:(217)
1898:(225)
1580:(221)
1566:Order
1485:The ,
1396:figure
1394:Vertex
1023:
513:Frame
473:Solid
252:Cell:
129:square
29:
5105:Notes
4958:Image
4945:half
4942:full
4745:(203)
4738:(202)
4731:(200)
4724:(204)
4494:Cells
3589:or ]
3204:group
3202:Space
2461:group
2459:Space
1976:Half
1545:group
1543:Space
1427:cell
1423:Image
1287:2:1:1
301:) in
117:4.6.6
5245:ISBN
5192:ISBN
5158:ISBN
5071:, 4
5067:, 4
5026:and
4565:Dual
4226:Type
4106:↔ ]
4101:8:2
3947:↔ ]
3727:4:2
3576:2:2
3344:2:2
3251:1:2
2868:4:2
2721:2:2
2499:2:2
2386:,
2312:8:2
2232:↔ ]
2227:2:2
2163:4:2
1901:2:2
1583:4:2
1477:The
686:2:2
614:and
434:The
297:(or
289:The
243:Dual
147:{3}
136:{6}
39:Type
4525:],
4182:×2
4085:(*)
4062:×2
4026:↔ ½
3937:r8
3740:↔
3730:d4
3579:g2
3357:↔
3347:d2
3254:a1
3190::
3035:(6)
2903:×2
2852:(3)
2819:(1)
2787:×2
2574:×1
2503:↔
2363:,
2360:(1)
2337:×2
2210:(7)
1905:↔
1627:×1
1335:1:1
1272:1:1
683:1:2
680:2:2
677:4:2
674:8:2
450:.
238:,
191:8:2
131:{4}
58:1,2
5290::
5272:.
5214:,
5156:,
5119:,
5079:.
5060:2v
5048:,
5041:.
5034:2v
4770:1
4741:Fd
4734:Fm
4727:Pm
4706:.
4643:,
4605::
4452:=
4386:=
4320:=
4146:↔
4144:×8
4092:Im
4024:×8
3968:↔
3934:8
3851:↔
3846:×4
3771:↔
3718:Pm
3685:×2
3610:↔
3567:Fd
3458:↔
3453:×2
3388:↔
3335:Fm
3246:3m
3134:11
3104:,
3101:10
3071:,
3038:,
3005:,
2972:,
2939:,
2859:Pm
2822:,
2757:↔
2712:Fm
2675:,
2642:,
2609:,
2534:↔
2490:Fm
2443:,
2315:]
2303:Im
2298:,
2295:10
2253:↔
2218:Fd
2213:,
2166:]
2158:3m
2147:13
2107:,
2104:12
2064:,
2061:11
2021:,
1946:↔
1892:Fm
1845:,
1758:,
1715:,
1672:,
1574:Pm
1523:,
1093:=]
1089:×2
956:=
870:=
831:=]
774:=
735:=]
731:×2
660:Fd
646:Fm
639:Pm
632:Im
333:.
272:,
268:,
193:]
184:Im
165:)
5278:.
5253:.
5226:.
5058:C
5032:C
4787:]
4780:]
4767:2
4764:2
4761:4
4758:8
4743:3
4736:3
4729:3
4722:3
4720:I
4547:3
4537:C
4205:5
4168:3
4158:C
4130:3
4120:A
4104:]
4096:m
4094:3
4048:3
4038:C
4010:3
4000:A
3988:½
3945:]
3928:3
3926:I
3919:4
3873:3
3863:C
3848:1
3832:3
3822:A
3722:m
3720:3
3711:3
3687:2
3671:3
3661:A
3587:]
3571:m
3569:3
3560:2
3529:,
3526:1
3480:3
3470:B
3455:1
3439:3
3429:A
3339:m
3337:3
3314:3
3304:A
3244:4
3242:F
3169:3
3159:A
3068:9
3002:7
2969:6
2936:5
2863:m
2861:3
2716:m
2714:3
2705:4
2672:3
2639:2
2606:1
2494:m
2492:3
2406:9
2383:8
2307:m
2305:3
2230:]
2222:m
2220:3
2156:4
2154:I
2018:7
1896:m
1894:3
1885:6
1842:5
1801:,
1798:4
1755:3
1712:2
1669:1
1578:m
1576:3
1342::
1327::
1321::
1315::
1300::
1294::
1279::
1263:1
1091:]
1075:3
1065:A
1007:3
997:A
911:3
901:B
815:3
805:C
733:]
717:3
707:C
662:3
655:4
653:F
648:3
641:3
634:3
593:3
583:A
567:(
224:3
214:C
186:3
161:(
119:)
115:(
56:t
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