2604:
2591:
2340:
2062:
2049:
1735:
2880:
2617:
2934:
2327:
2314:
1744:
1472:
2075:
1485:
1459:
132:
1796:
2899:
1726:
119:
182:
160:
147:
2651:
2355:
2099:
1768:
2642:
2108:
2669:
2382:
2117:
1527:
2908:
2660:
2391:
2632:
2373:
1518:
2090:
1759:
1500:
2364:
1509:
802:(or layers); but alternating laminae may be inverted so that the tops of the rectified 5-cells adjoin the tops of the rectified 5-cells and the bases of the 5-cells adjoin the bases of other 5-cells. This inversion results in another non-Wythoffian uniform convex honeycomb.
3574:, x3o3o3o3o3*a - cypit - O134, x3x3x3x3x3*a - otcypit - 135, x3x3x3o3o3*a - gocyropit - O137, x3x3o3x3o3*a - cypropit - O138, x3x3x3x3o3*a - gocypapit - O139, x3x3x3x3x3*a - otcypit - 140
3922:
3807:
3764:
3721:
3678:
3880:
3844:
2984:
2726:
2444:
2170:
1847:
1580:
1326:
1044:
967:
851:
578:
464:
396:
235:
3363:
Baake, M.; Kramer, P.; Schlottmann, M.; Zeidler, D. (December 1990). "PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE".
3431:
Olshevsky (2006), Klitzing, elong( x3o3o3o3o3*a ) - ecypit - O141, schmo( x3o3o3o3o3*a ) - zucypit - O142, elongschmo( x3o3o3o3o3*a ) - ezucypit - O143
320:, the tetrahedra being either tops of the rectified 5-cell or the bases of the 5-cell, and the octahedra being the bottoms of the rectified 5-cell.
3533:
3608:
3156:
3054:
2811:
656:
3250:
3222:
3184:
750:
722:
684:
3477:
3278:
2860:
2571:
2294:
1690:
1354:
1287:
1277:
1243:
1209:
1140:
1005:
995:
778:
601:
3268:
2850:
2561:
2019:
1429:
1344:
1233:
1165:
1096:
768:
1267:
985:
4005:
3988:
3263:
3258:
3235:
3207:
3194:
3179:
3166:
3151:
3138:
3123:
3118:
2845:
2840:
2556:
2279:
2274:
2029:
2014:
2009:
1705:
1439:
1424:
1339:
1334:
1272:
1228:
1194:
1189:
1175:
1160:
1155:
1125:
1106:
1091:
1072:
1057:
1052:
990:
928:
913:
763:
758:
735:
707:
694:
679:
666:
651:
638:
623:
618:
471:
423:
408:
403:
103:
88:
83:
3240:
3212:
3128:
2284:
1700:
1199:
1130:
1062:
918:
740:
712:
628:
413:
93:
4426:
4064:
3230:
3202:
3174:
3146:
2551:
1710:
1419:
1223:
1146:
1120:
1086:
908:
871:
730:
702:
674:
646:
491:
481:
3273:
3245:
3217:
3189:
3161:
3133:
2855:
2566:
2289:
2024:
1695:
1434:
1349:
1282:
1238:
1204:
1170:
1135:
1101:
1067:
1000:
923:
773:
745:
717:
689:
661:
633:
418:
98:
4484:
3516:
1661:
1360:
486:
476:
810:
may be inserted in between alternated laminae as well, resulting in two more non-Wythoffian elongated uniform honeycombs.
3528:, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995,
4438:
1249:
1215:
3577:
Affine
Coxeter group Wa(A4), Quaternions, and Decagonal Quasicrystals, Mehmet Koca, Nazife O. Koca, Ramazan Koc (2013)
3329:
857:
350:
1181:
1112:
317:
4220:
4165:
4116:
2603:
2590:
2339:
2061:
2048:
1734:
3983:
3601:
2879:
2616:
3562:(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)
4015:
2933:
2326:
2313:
1940:
1743:
1471:
2074:
1484:
3334:
3291:
1458:
255:
131:
4464:
4457:
4450:
4272:
4210:
4155:
4106:
4044:
3885:
3770:
3727:
3684:
3641:
3314:
3043:
2646:
2595:
2582:
2350:
2331:
2094:
2053:
1917:
1905:
1800:
1763:
3849:
3813:
3302:
created at the deleted vertices. Although it is not uniform, the 5-cells have a symmetry of order 10.
2953:
2695:
2413:
2139:
1816:
1549:
1295:
1013:
936:
820:
547:
433:
365:
204:
4489:
4414:
4407:
4402:
3536:
3108:
3029:
3018:
2890:
2871:
2757:
2637:
2608:
2475:
2201:
2103:
1878:
1611:
799:
609:
581:
509:
277:
56:
4317:
4255:
4250:
4193:
4188:
4138:
4133:
4089:
4084:
4032:
3594:
2801:
2522:
2245:
1980:
1909:
1795:
1651:
1390:
46:
3501:
3418:
3578:
3390:
2318:
2305:
1929:
1913:
1897:
1739:
1463:
814:
521:
354:
258:
2818:
2529:
2252:
1987:
1668:
1397:
504:
with 5-fold symmetry can be obtained by projecting two-dimensional slices of the honeycomb: the
63:
3404:
4262:
4200:
4145:
4096:
4074:
4054:
3936:
3622:
3618:
3529:
3483:
3473:
3324:
3319:
3295:
2994:
2918:
2737:
2455:
2181:
2066:
1858:
1591:
1476:
807:
541:
246:
186:
17:
3973:
3372:
2946:
2898:
2688:
2664:
2406:
2377:
2132:
2112:
2040:
1925:
1893:
1809:
1730:
1542:
1522:
1450:
878:
803:
501:
313:
305:
285:
197:
123:
1725:
118:
3995:
2998:
2903:
2832:
2655:
2543:
2386:
2266:
2001:
1682:
1411:
181:
159:
146:
75:
4304:
4297:
4290:
4237:
4230:
4175:
3931:
505:
2650:
2354:
2098:
1767:
4478:
3963:
3953:
3943:
3634:
3058:
2627:
2368:
1901:
1513:
853:
537:
346:
316:
that meet at each vertex. All the vertices lie in parallel realms in which they form
297:
3569:
2641:
2107:
3104:
3103:
lattices, and is the dual to the omnitruncated 5-cell honeycomb, and therefore the
3015:
2754:
2472:
2198:
1875:
1608:
605:
274:
2085:
1754:
1495:
301:
142:
3065:
space with integral coordinates, permutations of the whole numbers (0,1,..,n).
2668:
2381:
2116:
1526:
3376:
2907:
2681:
2659:
2390:
2359:
1936:
1504:
151:
3440:
2631:
2372:
1517:
353:
operation that maps two pairs of mirrors into each other, sharing the same
1778:
170:
2089:
1939:
that divide space into two half-spaces. The 3-space hyperplanes contain
1758:
1499:
3035:
2922:
2363:
1783:
1508:
3299:
2939:
1921:
1889:
1721:
309:
281:
114:
3582:
2228:
1963:
1634:
1373:
3444:
856:. The symmetry can be multiplied by the symmetry of rings in the
3487:
3447:
2792:
2513:
2236:
1971:
1642:
1381:
37:
2784:
2505:
29:
3888:
3852:
3816:
3773:
3730:
3687:
3644:
2956:
2698:
2416:
2142:
1819:
1552:
1298:
1016:
939:
823:
550:
436:
368:
207:
3916:
3874:
3838:
3801:
3758:
3715:
3672:
3526:Kaleidoscopes: Selected Writings of H.S.M. Coxeter
2978:
2720:
2438:
2164:
1841:
1574:
1320:
1038:
961:
845:
580:Coxeter group. It is the 4-dimensional case of a
572:
458:
390:
229:
1935:It can be constructed as five sets of parallel
3023:cyclosteriruncicantitruncated 5-cell honeycomb
3602:
8:
3492:(The classification of Zonohededra, page 73)
2494:Cycloprismatorhombated pentachoric tetracomb
798:of the 5-cells, and vice versa, in adjacent
794:of the 5-cells in this honeycomb adjoin the
3310:Regular and uniform honeycombs in 4-space:
2787:
2508:
2231:
2127:triangular elongated-antiprismatic pyramid
1966:
1637:
1376:
32:
3609:
3595:
3587:
2773:Great cycloprismated pentachoric tetracomb
2217:Great cyclorhombated pentachoric tetracomb
1623:small cyclorhombated pentachoric tetracomb
862:
3902:
3891:
3890:
3887:
3866:
3855:
3854:
3851:
3830:
3819:
3818:
3815:
3787:
3776:
3775:
3772:
3744:
3733:
3732:
3729:
3701:
3690:
3689:
3686:
3658:
3647:
3646:
3643:
3365:International Journal of Modern Physics B
2970:
2959:
2958:
2955:
2762:cycloruncicantitruncated 5-cell honeycomb
2712:
2701:
2700:
2697:
2430:
2419:
2418:
2415:
2156:
2145:
2144:
2141:
1833:
1822:
1821:
1818:
1566:
1555:
1554:
1551:
1537:triangular elongated-antiprismatic prism
1312:
1301:
1300:
1297:
1030:
1019:
1018:
1015:
953:
942:
941:
938:
837:
826:
825:
822:
564:
553:
552:
549:
450:
439:
438:
435:
382:
371:
370:
367:
221:
210:
209:
206:
3074:Omnitruncated cyclopentachoric tetracomb
512:tiling composed of isosceles triangles.
359:
345:can be projected into the 2-dimensional
3450:8-1 cases, skipping one with zero marks
3346:
3549:Regular and Semi-Regular Polytopes III
3405:"A4 root lattice - Wolfram|Alpha"
2776:Grand prismatodispentachoric tetracomb
2497:Great prismatodispentachoric tetracomb
1626:small prismatodispentachoric tetracomb
3470:The Beauty of Geometry: Twelve Essays
2220:Great truncated-pentachoric tetracomb
1955:Small truncated-pentachoric tetracomb
7:
3542:Regular and Semi Regular Polytopes I
2480:cycloruncitruncated 5-cell honeycomb
2206:cyclocantitruncated 5-cell honeycomb
1952:Cyclotruncated pentachoric tetracomb
332:Pentachoric-dispentachoric tetracomb
271:pentachoric-dispentachoric honeycomb
3055:omnitruncated simplectic honeycombs
2401:Bidiminished rectified pentachoron
3917:{\displaystyle {\tilde {E}}_{n-1}}
3802:{\displaystyle {\tilde {D}}_{n-1}}
3759:{\displaystyle {\tilde {B}}_{n-1}}
3716:{\displaystyle {\tilde {C}}_{n-1}}
3673:{\displaystyle {\tilde {A}}_{n-1}}
3077:Great-prismatodecachoric tetracomb
3032:(omnitruncated 4-simplex) facets.
2812:Omnitruncated simplectic honeycomb
2788:Omnitruncated 4-simplex honeycomb
1868:cyclotruncated 4-simplex honeycomb
25:
3008:omnitruncated 4-simplex honeycomb
602:omnitruncated 5-simplex honeycomb
600:lattices, and is the dual to the
3875:{\displaystyle {\tilde {F}}_{4}}
3839:{\displaystyle {\tilde {G}}_{2}}
3276:
3271:
3266:
3261:
3256:
3248:
3243:
3238:
3233:
3228:
3220:
3215:
3210:
3205:
3200:
3192:
3187:
3182:
3177:
3172:
3164:
3159:
3154:
3149:
3144:
3136:
3131:
3126:
3121:
3116:
3046:, who described it in his book
2979:{\displaystyle {\tilde {A}}_{4}}
2932:
2906:
2897:
2878:
2858:
2853:
2848:
2843:
2838:
2721:{\displaystyle {\tilde {A}}_{4}}
2667:
2658:
2649:
2640:
2630:
2615:
2602:
2589:
2569:
2564:
2559:
2554:
2549:
2439:{\displaystyle {\tilde {A}}_{4}}
2389:
2380:
2371:
2362:
2353:
2338:
2325:
2312:
2292:
2287:
2282:
2277:
2272:
2165:{\displaystyle {\tilde {A}}_{4}}
2115:
2106:
2097:
2088:
2073:
2060:
2047:
2027:
2022:
2017:
2012:
2007:
1900:facets in a ratio of 2:2:1. Its
1842:{\displaystyle {\tilde {A}}_{4}}
1794:
1766:
1757:
1742:
1733:
1724:
1708:
1703:
1698:
1693:
1688:
1638:Cyclotruncated 5-cell honeycomb
1575:{\displaystyle {\tilde {A}}_{4}}
1525:
1516:
1507:
1498:
1483:
1470:
1457:
1437:
1432:
1427:
1422:
1417:
1352:
1347:
1342:
1337:
1332:
1321:{\displaystyle {\tilde {A}}_{4}}
1285:
1280:
1275:
1270:
1265:
1241:
1236:
1231:
1226:
1221:
1207:
1202:
1197:
1192:
1187:
1173:
1168:
1163:
1158:
1153:
1138:
1133:
1128:
1123:
1118:
1104:
1099:
1094:
1089:
1084:
1070:
1065:
1060:
1055:
1050:
1039:{\displaystyle {\tilde {A}}_{4}}
1003:
998:
993:
988:
983:
962:{\displaystyle {\tilde {A}}_{4}}
926:
921:
916:
911:
906:
846:{\displaystyle {\tilde {A}}_{4}}
786:Related polytopes and honeycombs
776:
771:
766:
761:
756:
748:
743:
738:
733:
728:
720:
715:
710:
705:
700:
692:
687:
682:
677:
672:
664:
659:
654:
649:
644:
636:
631:
626:
621:
616:
573:{\displaystyle {\tilde {A}}_{4}}
489:
484:
479:
474:
469:
459:{\displaystyle {\tilde {C}}_{2}}
421:
416:
411:
406:
401:
391:{\displaystyle {\tilde {A}}_{3}}
230:{\displaystyle {\tilde {A}}_{4}}
180:
158:
145:
130:
117:
101:
96:
91:
86:
81:
3544:, (1.9 Uniform space-fillings)
2990:
2945:
2928:
2914:
2886:
2867:
2831:
2817:
2807:
2797:
2747:bitruncated 4-simplex honeycomb
2733:
2687:
2676:
2623:
2578:
2542:
2528:
2518:
2465:cantellated 4-simplex honeycomb
2451:
2405:
2397:
2346:
2301:
2265:
2251:
2241:
2177:
2131:
2123:
2081:
2036:
2000:
1986:
1976:
1872:cyclotruncated 5-cell honeycomb
1854:
1808:
1790:
1774:
1750:
1717:
1681:
1667:
1657:
1647:
1631:Cyclotruncated 5-cell honeycomb
1587:
1541:
1533:
1491:
1446:
1410:
1396:
1386:
815:seven unique uniform honeycombs
242:
196:
176:
166:
138:
110:
74:
62:
52:
42:
3896:
3860:
3824:
3781:
3738:
3695:
3652:
3099:lattice is the union of five A
3012:omnitruncated 5-cell honeycomb
2964:
2781:Omnitruncated 5-cell honeycomb
2706:
2424:
2150:
1967:Truncated 4-simplex honeycomb
1827:
1662:Truncated simplectic honeycomb
1560:
1306:
1024:
947:
831:
596:lattice is the union of five A
558:
544:represent the 20 roots of the
444:
376:
215:
1:
2509:Bitruncated 5-cell honeycomb
2232:Cantellated 5-cell honeycomb
2191:truncated 4-simplex honeycomb
1601:rectified 4-simplex honeycomb
18:Truncated 4-simplex honeycomb
3558:Uniform Panoploid Tetracombs
3472:. Dover Publications. 1999.
3021:. It can also be seen as a
2751:bitruncated 5-cell honeycomb
2502:Bitruncated 5-cell honeycomb
2469:cantellated 5-cell honeycomb
2225:Cantellated 5-cell honeycomb
1883:birectified 5-cell honeycomb
508:composed of rhombi, and the
3570:"4D Euclidean tesselations"
3547:(Paper 24) H.S.M. Coxeter,
3540:(Paper 22) H.S.M. Coxeter,
3459:Olshevsky, (2006) Model 135
3353:Olshevsky (2006), Model 134
3330:Truncated 24-cell honeycomb
3028:It is composed entirely of
1881:. It can also be seen as a
1377:Rectified 5-cell honeycomb
318:alternated cubic honeycombs
308:, corresponding to the ten
4506:
2760:. It can also be called a
2478:. It can also be called a
2204:. It can also be called a
2195:truncated 5-cell honeycomb
1960:Truncated 5-cell honeycomb
1605:rectified 5-cell honeycomb
1370:Rectified 5-cell honeycomb
329:Cyclopentachoric tetracomb
288:facets in a ratio of 1:1.
3590:
3377:10.1142/S0217979290001054
3061:and can be positioned in
865:
813:This honeycomb is one of
536:. The 20 vertices of its
3984:Uniform convex honeycomb
1943:as a collection facets.
1941:quarter cubic honeycombs
1932:facets around a vertex.
858:Coxeter–Dynkin diagrams
3918:
3876:
3840:
3803:
3760:
3717:
3674:
3335:Snub 24-cell honeycomb
3290:This honeycomb can be
3107:of this lattice is an
2980:
2722:
2440:
2166:
1843:
1576:
1322:
1040:
963:
847:
608:of this lattice is an
574:
460:
392:
231:
4485:Honeycombs (geometry)
4358:Uniform 10-honeycomb
3919:
3877:
3841:
3804:
3761:
3718:
3675:
3448:sequence A000029
3315:Tesseractic honeycomb
2981:
2723:
2647:Truncated tetrahedron
2441:
2351:Truncated tetrahedron
2167:
2095:Truncated tetrahedron
1918:tetragonal disphenoid
1906:tetrahedral antiprism
1844:
1801:Tetrahedral antiprism
1577:
1323:
1041:
964:
848:
575:
461:
393:
337:Projection by folding
232:
3886:
3850:
3814:
3771:
3728:
3685:
3642:
3560:, Manuscript (2006)
3371:(15n16): 2217–2268.
3109:omnitruncated 5-cell
3048:The Fourth Dimension
3030:omnitruncated 5-cell
2954:
2696:
2638:Truncated octahedron
2414:
2140:
2104:Truncated octahedron
1817:
1550:
1296:
1014:
937:
821:
610:omnitruncated 5-cell
604:, and therefore the
582:simplectic honeycomb
548:
434:
366:
280:. It is composed of
205:
57:Simplectic honeycomb
33:4-simplex honeycomb
4318:Uniform 9-honeycomb
4251:Uniform 8-honeycomb
4189:Uniform 7-honeycomb
4134:Uniform 6-honeycomb
4085:Uniform 5-honeycomb
4033:Uniform 4-honeycomb
3617:Fundamental convex
3568:Klitzing, Richard.
3522:, Manuscript (1991)
3441:mathworld: Necklace
3053:The facets of all
3014:is a space-filling
2802:Uniform 4-honeycomb
2753:is a space-filling
2680:tilted rectangular
2523:Uniform 4-honeycomb
2471:is a space-filling
2246:Uniform 4-honeycomb
2197:is a space-filling
1981:Uniform 4-honeycomb
1910:regular tetrahedron
1898:bitruncated 5-cells
1874:is a space-filling
1652:Uniform 4-honeycomb
1607:is a space-filling
1391:Uniform 4-honeycomb
895:Honeycomb diagrams
817:constructed by the
273:is a space-filling
263:4-simplex honeycomb
47:Uniform 4-honeycomb
3914:
3872:
3836:
3799:
3756:
3713:
3670:
3623:uniform honeycombs
3556:George Olshevsky,
3040:Hinton's honeycomb
2976:
2718:
2436:
2162:
1930:bitruncated 5-cell
1920:cells, defining 2
1914:triangular pyramid
1888:It is composed of
1839:
1572:
1318:
1036:
959:
843:
808:tetrahedral prisms
570:
522:vertex arrangement
456:
388:
355:vertex arrangement
259:Euclidean geometry
227:
4473:
4472:
4075:24-cell honeycomb
3899:
3863:
3827:
3784:
3741:
3698:
3655:
3625:in dimensions 2–9
3534:978-0-471-01003-6
3520:Uniform Polytopes
3325:24-cell honeycomb
3320:16-cell honeycomb
3004:
3003:
2995:vertex-transitive
2967:
2743:
2742:
2738:vertex-transitive
2709:
2461:
2460:
2456:vertex-transitive
2427:
2187:
2186:
2182:vertex-transitive
2153:
1894:truncated 5-cells
1864:
1863:
1859:vertex-transitive
1830:
1597:
1596:
1592:vertex-transitive
1563:
1367:
1366:
1309:
1027:
950:
834:
804:Octahedral prisms
561:
542:runcinated 5-cell
534:4-simplex lattice
510:Tübingen triangle
502:aperiodic tilings
498:
497:
447:
379:
351:geometric folding
314:rectified 5-cells
306:triangular prisms
286:rectified 5-cells
252:
251:
247:vertex-transitive
218:
16:(Redirected from
4497:
3923:
3921:
3920:
3915:
3913:
3912:
3901:
3900:
3892:
3881:
3879:
3878:
3873:
3871:
3870:
3865:
3864:
3856:
3845:
3843:
3842:
3837:
3835:
3834:
3829:
3828:
3820:
3808:
3806:
3805:
3800:
3798:
3797:
3786:
3785:
3777:
3765:
3763:
3762:
3757:
3755:
3754:
3743:
3742:
3734:
3722:
3720:
3719:
3714:
3712:
3711:
3700:
3699:
3691:
3679:
3677:
3676:
3671:
3669:
3668:
3657:
3656:
3648:
3611:
3604:
3597:
3588:
3573:
3504:
3499:
3493:
3491:
3466:
3460:
3457:
3451:
3446:
3438:
3432:
3429:
3423:
3422:
3419:"The Lattice A4"
3415:
3409:
3408:
3401:
3395:
3394:
3391:"The Lattice A4"
3387:
3381:
3380:
3360:
3354:
3351:
3296:omnisnub 5-cells
3281:
3280:
3279:
3275:
3274:
3270:
3269:
3265:
3264:
3260:
3259:
3253:
3252:
3251:
3247:
3246:
3242:
3241:
3237:
3236:
3232:
3231:
3225:
3224:
3223:
3219:
3218:
3214:
3213:
3209:
3208:
3204:
3203:
3197:
3196:
3195:
3191:
3190:
3186:
3185:
3181:
3180:
3176:
3175:
3169:
3168:
3167:
3163:
3162:
3158:
3157:
3153:
3152:
3148:
3147:
3141:
3140:
3139:
3135:
3134:
3130:
3129:
3125:
3124:
3120:
3119:
3098:
3097:
2985:
2983:
2982:
2977:
2975:
2974:
2969:
2968:
2960:
2936:
2910:
2901:
2882:
2863:
2862:
2861:
2857:
2856:
2852:
2851:
2847:
2846:
2842:
2841:
2785:
2727:
2725:
2724:
2719:
2717:
2716:
2711:
2710:
2702:
2671:
2665:Triangular prism
2662:
2653:
2644:
2634:
2619:
2606:
2593:
2574:
2573:
2572:
2568:
2567:
2563:
2562:
2558:
2557:
2553:
2552:
2506:
2445:
2443:
2442:
2437:
2435:
2434:
2429:
2428:
2420:
2393:
2384:
2378:Triangular prism
2375:
2366:
2357:
2342:
2329:
2316:
2297:
2296:
2295:
2291:
2290:
2286:
2285:
2281:
2280:
2276:
2275:
2229:
2212:Alaternate names
2171:
2169:
2168:
2163:
2161:
2160:
2155:
2154:
2146:
2119:
2113:Triangular prism
2110:
2101:
2092:
2077:
2064:
2051:
2032:
2031:
2030:
2026:
2025:
2021:
2020:
2016:
2015:
2011:
2010:
1964:
1926:truncated 5-cell
1848:
1846:
1845:
1840:
1838:
1837:
1832:
1831:
1823:
1798:
1770:
1761:
1746:
1737:
1728:
1713:
1712:
1711:
1707:
1706:
1702:
1701:
1697:
1696:
1692:
1691:
1635:
1581:
1579:
1578:
1573:
1571:
1570:
1565:
1564:
1556:
1529:
1523:Triangular prism
1520:
1511:
1502:
1487:
1474:
1461:
1442:
1441:
1440:
1436:
1435:
1431:
1430:
1426:
1425:
1421:
1420:
1374:
1357:
1356:
1355:
1351:
1350:
1346:
1345:
1341:
1340:
1336:
1335:
1327:
1325:
1324:
1319:
1317:
1316:
1311:
1310:
1302:
1290:
1289:
1288:
1284:
1283:
1279:
1278:
1274:
1273:
1269:
1268:
1246:
1245:
1244:
1240:
1239:
1235:
1234:
1230:
1229:
1225:
1224:
1212:
1211:
1210:
1206:
1205:
1201:
1200:
1196:
1195:
1191:
1190:
1178:
1177:
1176:
1172:
1171:
1167:
1166:
1162:
1161:
1157:
1156:
1143:
1142:
1141:
1137:
1136:
1132:
1131:
1127:
1126:
1122:
1121:
1109:
1108:
1107:
1103:
1102:
1098:
1097:
1093:
1092:
1088:
1087:
1075:
1074:
1073:
1069:
1068:
1064:
1063:
1059:
1058:
1054:
1053:
1045:
1043:
1042:
1037:
1035:
1034:
1029:
1028:
1020:
1008:
1007:
1006:
1002:
1001:
997:
996:
992:
991:
987:
986:
968:
966:
965:
960:
958:
957:
952:
951:
943:
931:
930:
929:
925:
924:
920:
919:
915:
914:
910:
909:
863:
852:
850:
849:
844:
842:
841:
836:
835:
827:
781:
780:
779:
775:
774:
770:
769:
765:
764:
760:
759:
753:
752:
751:
747:
746:
742:
741:
737:
736:
732:
731:
725:
724:
723:
719:
718:
714:
713:
709:
708:
704:
703:
697:
696:
695:
691:
690:
686:
685:
681:
680:
676:
675:
669:
668:
667:
663:
662:
658:
657:
653:
652:
648:
647:
641:
640:
639:
635:
634:
630:
629:
625:
624:
620:
619:
595:
594:
579:
577:
576:
571:
569:
568:
563:
562:
554:
526:5-cell honeycomb
494:
493:
492:
488:
487:
483:
482:
478:
477:
473:
472:
465:
463:
462:
457:
455:
454:
449:
448:
440:
426:
425:
424:
420:
419:
415:
414:
410:
409:
405:
404:
397:
395:
394:
389:
387:
386:
381:
380:
372:
360:
343:5-cell honeycomb
267:5-cell honeycomb
256:four-dimensional
236:
234:
233:
228:
226:
225:
220:
219:
211:
184:
162:
149:
134:
121:
106:
105:
104:
100:
99:
95:
94:
90:
89:
85:
84:
30:
27:Geometric figure
21:
4505:
4504:
4500:
4499:
4498:
4496:
4495:
4494:
4475:
4474:
4468:
4461:
4454:
4446:
4445:
4434:
4433:
4422:
4421:
4410:
4387:
4386:
4379:
4378:
4371:
4370:
4363:
4348:
4347:
4340:
4339:
4332:
4331:
4324:
4308:
4301:
4294:
4287:
4286:
4278:
4277:
4268:
4267:
4258:
4241:
4234:
4226:
4225:
4216:
4215:
4206:
4205:
4196:
4179:
4171:
4170:
4161:
4160:
4151:
4150:
4141:
4122:
4121:
4112:
4111:
4102:
4101:
4092:
4070:
4069:
4060:
4059:
4050:
4049:
4040:
4021:
4020:
4011:
4010:
4001:
4000:
3991:
3969:
3968:
3959:
3958:
3949:
3948:
3939:
3889:
3884:
3883:
3853:
3848:
3847:
3817:
3812:
3811:
3774:
3769:
3768:
3731:
3726:
3725:
3688:
3683:
3682:
3645:
3640:
3639:
3626:
3615:
3567:
3513:
3508:
3507:
3502:The Lattice A4*
3500:
3496:
3480:
3468:
3467:
3463:
3458:
3454:
3439:
3435:
3430:
3426:
3417:
3416:
3412:
3403:
3402:
3398:
3389:
3388:
3384:
3362:
3361:
3357:
3352:
3348:
3343:
3308:
3298:with irregular
3288:
3286:Alternated form
3277:
3272:
3267:
3262:
3257:
3255:
3249:
3244:
3239:
3234:
3229:
3227:
3221:
3216:
3211:
3206:
3201:
3199:
3193:
3188:
3183:
3178:
3173:
3171:
3165:
3160:
3155:
3150:
3145:
3143:
3137:
3132:
3127:
3122:
3117:
3115:
3102:
3096:
3093:
3092:
3091:
3088:
3085:
3071:
3069:Alternate names
2999:cell-transitive
2957:
2952:
2951:
2937:
2921:
2902:
2894:
2875:
2859:
2854:
2849:
2844:
2839:
2837:
2833:Coxeter diagram
2826:
2819:Schläfli symbol
2783:
2770:
2768:Alternate names
2729:
2699:
2694:
2693:
2663:
2656:Hexagonal prism
2654:
2645:
2635:
2612:
2607:
2599:
2594:
2586:
2570:
2565:
2560:
2555:
2550:
2548:
2544:Coxeter diagram
2537:
2530:Schläfli symbol
2504:
2491:
2489:Alternate names
2485:
2447:
2417:
2412:
2411:
2387:Hexagonal prism
2385:
2376:
2367:
2358:
2335:
2330:
2322:
2317:
2309:
2293:
2288:
2283:
2278:
2273:
2271:
2267:Coxeter diagram
2260:
2253:Schläfli symbol
2227:
2214:
2173:
2143:
2138:
2137:
2111:
2102:
2093:
2070:
2065:
2057:
2052:
2044:
2028:
2023:
2018:
2013:
2008:
2006:
2002:Coxeter diagram
1995:
1988:Schläfli symbol
1962:
1949:
1947:Alternate names
1850:
1820:
1815:
1814:
1803:
1799:
1782:
1762:
1738:
1729:
1709:
1704:
1699:
1694:
1689:
1687:
1683:Coxeter diagram
1676:
1669:Schläfli symbol
1633:
1620:
1618:Alternate names
1583:
1553:
1548:
1547:
1521:
1512:
1503:
1480:
1475:
1467:
1462:
1454:
1438:
1433:
1428:
1423:
1418:
1416:
1412:Coxeter diagram
1405:
1398:Schläfli symbol
1372:
1363:
1353:
1348:
1343:
1338:
1333:
1331:
1299:
1294:
1293:
1286:
1281:
1276:
1271:
1266:
1264:
1252:
1242:
1237:
1232:
1227:
1222:
1220:
1218:
1208:
1203:
1198:
1193:
1188:
1186:
1184:
1174:
1169:
1164:
1159:
1154:
1152:
1149:
1139:
1134:
1129:
1124:
1119:
1117:
1115:
1105:
1100:
1095:
1090:
1085:
1083:
1081:
1071:
1066:
1061:
1056:
1051:
1049:
1017:
1012:
1011:
1004:
999:
994:
989:
984:
982:
940:
935:
934:
927:
922:
917:
912:
907:
905:
891:
886:
880:
873:
824:
819:
818:
788:
777:
772:
767:
762:
757:
755:
749:
744:
739:
734:
729:
727:
721:
716:
711:
706:
701:
699:
693:
688:
683:
678:
673:
671:
665:
660:
655:
650:
645:
643:
637:
632:
627:
622:
617:
615:
599:
593:
590:
589:
588:
551:
546:
545:
518:
490:
485:
480:
475:
470:
468:
437:
432:
431:
422:
417:
412:
407:
402:
400:
369:
364:
363:
339:
326:
324:Alternate names
294:
238:
208:
203:
202:
190:
185:
155:
150:
127:
122:
102:
97:
92:
87:
82:
80:
76:Coxeter diagram
70:
64:Schläfli symbol
28:
23:
22:
15:
12:
11:
5:
4503:
4501:
4493:
4492:
4487:
4477:
4476:
4471:
4470:
4466:
4459:
4452:
4448:
4441:
4439:
4436:
4429:
4427:
4424:
4417:
4415:
4412:
4409:
4405:
4395:
4391:
4390:
4388:
4384:
4382:
4380:
4376:
4374:
4372:
4368:
4366:
4364:
4362:
4359:
4356:
4352:
4351:
4349:
4345:
4343:
4341:
4337:
4335:
4333:
4329:
4327:
4325:
4323:
4320:
4315:
4311:
4310:
4306:
4299:
4292:
4288:
4284:
4282:
4280:
4275:
4273:
4270:
4265:
4263:
4260:
4257:
4253:
4248:
4244:
4243:
4239:
4232:
4228:
4223:
4221:
4218:
4213:
4211:
4208:
4203:
4201:
4198:
4195:
4191:
4186:
4182:
4181:
4177:
4173:
4168:
4166:
4163:
4158:
4156:
4153:
4148:
4146:
4143:
4140:
4136:
4131:
4127:
4126:
4124:
4119:
4117:
4114:
4109:
4107:
4104:
4099:
4097:
4094:
4091:
4087:
4082:
4078:
4077:
4072:
4067:
4065:
4062:
4057:
4055:
4052:
4047:
4045:
4042:
4039:
4035:
4030:
4026:
4025:
4023:
4018:
4016:
4013:
4008:
4006:
4003:
3998:
3996:
3993:
3990:
3986:
3981:
3977:
3976:
3971:
3966:
3964:
3961:
3956:
3954:
3951:
3946:
3944:
3941:
3938:
3934:
3932:Uniform tiling
3929:
3925:
3924:
3911:
3908:
3905:
3898:
3895:
3869:
3862:
3859:
3833:
3826:
3823:
3809:
3796:
3793:
3790:
3783:
3780:
3766:
3753:
3750:
3747:
3740:
3737:
3723:
3710:
3707:
3704:
3697:
3694:
3680:
3667:
3664:
3661:
3654:
3651:
3637:
3632:
3628:
3627:
3616:
3614:
3613:
3606:
3599:
3591:
3586:
3585:
3575:
3565:
3554:
3553:
3552:
3545:
3523:
3517:Norman Johnson
3512:
3509:
3506:
3505:
3494:
3478:
3461:
3452:
3433:
3424:
3410:
3396:
3382:
3355:
3345:
3344:
3342:
3339:
3338:
3337:
3332:
3327:
3322:
3317:
3307:
3304:
3287:
3284:
3283:
3282:
3100:
3094:
3087:
3083:
3080:
3079:
3078:
3075:
3070:
3067:
3002:
3001:
2992:
2988:
2987:
2973:
2966:
2963:
2949:
2943:
2942:
2930:
2926:
2925:
2916:
2912:
2911:
2892:
2888:
2884:
2883:
2873:
2869:
2865:
2864:
2835:
2829:
2828:
2824:
2821:
2815:
2814:
2809:
2805:
2804:
2799:
2795:
2794:
2790:
2789:
2782:
2779:
2778:
2777:
2774:
2769:
2766:
2741:
2740:
2735:
2731:
2730:
2715:
2708:
2705:
2691:
2685:
2684:
2678:
2674:
2673:
2625:
2621:
2620:
2610:
2597:
2584:
2580:
2576:
2575:
2546:
2540:
2539:
2535:
2532:
2526:
2525:
2520:
2516:
2515:
2511:
2510:
2503:
2500:
2499:
2498:
2495:
2490:
2487:
2459:
2458:
2453:
2449:
2448:
2433:
2426:
2423:
2409:
2403:
2402:
2399:
2395:
2394:
2348:
2344:
2343:
2333:
2320:
2307:
2303:
2299:
2298:
2269:
2263:
2262:
2258:
2255:
2249:
2248:
2243:
2239:
2238:
2234:
2233:
2226:
2223:
2222:
2221:
2218:
2213:
2210:
2185:
2184:
2179:
2175:
2174:
2159:
2152:
2149:
2135:
2129:
2128:
2125:
2121:
2120:
2083:
2079:
2078:
2068:
2055:
2042:
2038:
2034:
2033:
2004:
1998:
1997:
1993:
1990:
1984:
1983:
1978:
1974:
1973:
1969:
1968:
1961:
1958:
1957:
1956:
1953:
1948:
1945:
1862:
1861:
1856:
1852:
1851:
1836:
1829:
1826:
1812:
1806:
1805:
1792:
1788:
1787:
1776:
1772:
1771:
1752:
1748:
1747:
1719:
1715:
1714:
1685:
1679:
1678:
1674:
1671:
1665:
1664:
1659:
1655:
1654:
1649:
1645:
1644:
1640:
1639:
1632:
1629:
1628:
1627:
1624:
1619:
1616:
1595:
1594:
1589:
1585:
1584:
1569:
1562:
1559:
1545:
1539:
1538:
1535:
1531:
1530:
1493:
1489:
1488:
1478:
1465:
1452:
1448:
1444:
1443:
1414:
1408:
1407:
1403:
1400:
1394:
1393:
1388:
1384:
1383:
1379:
1378:
1371:
1368:
1365:
1364:
1359:
1329:
1315:
1308:
1305:
1291:
1262:
1259:
1255:
1254:
1248:
1214:
1180:
1145:
1111:
1077:
1047:
1033:
1026:
1023:
1009:
980:
977:
973:
972:
969:
956:
949:
946:
932:
903:
901:
897:
896:
893:
888:
883:
876:
868:
867:
866:A4 honeycombs
840:
833:
830:
787:
784:
783:
782:
597:
591:
567:
560:
557:
528:is called the
517:
514:
506:Penrose tiling
500:Two different
496:
495:
466:
453:
446:
443:
428:
427:
398:
385:
378:
375:
338:
335:
334:
333:
330:
325:
322:
293:
290:
250:
249:
244:
240:
239:
224:
217:
214:
200:
194:
193:
188:
178:
174:
173:
168:
164:
163:
153:
140:
136:
135:
125:
112:
108:
107:
78:
72:
71:
69:
66:
60:
59:
54:
50:
49:
44:
40:
39:
35:
34:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
4502:
4491:
4488:
4486:
4483:
4482:
4480:
4469:
4462:
4455:
4449:
4447:
4444:
4437:
4435:
4432:
4425:
4423:
4420:
4413:
4411:
4406:
4404:
4400:
4396:
4393:
4392:
4389:
4381:
4373:
4365:
4360:
4357:
4354:
4353:
4350:
4342:
4334:
4326:
4321:
4319:
4316:
4313:
4312:
4309:
4302:
4295:
4289:
4281:
4279:
4271:
4269:
4261:
4259:
4254:
4252:
4249:
4246:
4245:
4242:
4235:
4229:
4227:
4219:
4217:
4209:
4207:
4199:
4197:
4192:
4190:
4187:
4184:
4183:
4180:
4174:
4172:
4164:
4162:
4154:
4152:
4144:
4142:
4137:
4135:
4132:
4129:
4128:
4125:
4123:
4115:
4113:
4105:
4103:
4095:
4093:
4088:
4086:
4083:
4080:
4079:
4076:
4073:
4071:
4063:
4061:
4053:
4051:
4043:
4041:
4036:
4034:
4031:
4028:
4027:
4024:
4022:
4014:
4012:
4004:
4002:
3994:
3992:
3987:
3985:
3982:
3979:
3978:
3975:
3972:
3970:
3962:
3960:
3952:
3950:
3942:
3940:
3935:
3933:
3930:
3927:
3926:
3909:
3906:
3903:
3893:
3867:
3857:
3831:
3821:
3810:
3794:
3791:
3788:
3778:
3767:
3751:
3748:
3745:
3735:
3724:
3708:
3705:
3702:
3692:
3681:
3665:
3662:
3659:
3649:
3638:
3636:
3633:
3630:
3629:
3624:
3620:
3612:
3607:
3605:
3600:
3598:
3593:
3592:
3589:
3584:
3580:
3576:
3571:
3566:
3563:
3559:
3555:
3550:
3546:
3543:
3539:
3538:
3537:
3535:
3531:
3527:
3524:
3521:
3518:
3515:
3514:
3510:
3503:
3498:
3495:
3489:
3485:
3481:
3479:0-486-40919-8
3475:
3471:
3465:
3462:
3456:
3453:
3449:
3442:
3437:
3434:
3428:
3425:
3420:
3414:
3411:
3406:
3400:
3397:
3392:
3386:
3383:
3378:
3374:
3370:
3366:
3359:
3356:
3350:
3347:
3340:
3336:
3333:
3331:
3328:
3326:
3323:
3321:
3318:
3316:
3313:
3312:
3311:
3305:
3303:
3301:
3297:
3293:
3285:
3114:
3113:
3112:
3110:
3106:
3081:
3076:
3073:
3072:
3068:
3066:
3064:
3060:
3056:
3051:
3049:
3045:
3041:
3037:
3033:
3031:
3026:
3024:
3020:
3017:
3013:
3009:
3000:
2996:
2993:
2989:
2971:
2961:
2950:
2948:
2944:
2941:
2935:
2931:
2929:Vertex figure
2927:
2924:
2920:
2917:
2913:
2909:
2905:
2900:
2896:
2889:
2885:
2881:
2877:
2870:
2866:
2836:
2834:
2830:
2827:{3} or tr{3}
2822:
2820:
2816:
2813:
2810:
2806:
2803:
2800:
2796:
2791:
2786:
2780:
2775:
2772:
2771:
2767:
2765:
2763:
2759:
2756:
2752:
2748:
2739:
2736:
2732:
2713:
2703:
2692:
2690:
2686:
2683:
2679:
2677:Vertex figure
2675:
2672:
2670:
2666:
2661:
2657:
2652:
2648:
2643:
2639:
2633:
2629:
2628:Cuboctahedron
2626:
2622:
2618:
2614:
2605:
2601:
2592:
2588:
2581:
2577:
2547:
2545:
2541:
2538:{3} or 2t{3}
2533:
2531:
2527:
2524:
2521:
2517:
2512:
2507:
2501:
2496:
2493:
2492:
2488:
2486:
2483:
2481:
2477:
2474:
2470:
2466:
2457:
2454:
2450:
2431:
2421:
2410:
2408:
2404:
2400:
2398:Vertex figure
2396:
2392:
2388:
2383:
2379:
2374:
2370:
2369:Cuboctahedron
2365:
2361:
2356:
2352:
2349:
2345:
2341:
2337:
2328:
2324:
2315:
2311:
2304:
2300:
2270:
2268:
2264:
2261:{3} or rr{3}
2256:
2254:
2250:
2247:
2244:
2240:
2235:
2230:
2224:
2219:
2216:
2215:
2211:
2209:
2207:
2203:
2200:
2196:
2192:
2183:
2180:
2176:
2157:
2147:
2136:
2134:
2130:
2126:
2124:Vertex figure
2122:
2118:
2114:
2109:
2105:
2100:
2096:
2091:
2087:
2084:
2080:
2076:
2072:
2063:
2059:
2050:
2046:
2039:
2035:
2005:
2003:
1999:
1991:
1989:
1985:
1982:
1979:
1975:
1970:
1965:
1959:
1954:
1951:
1950:
1946:
1944:
1942:
1938:
1933:
1931:
1927:
1923:
1919:
1915:
1911:
1907:
1903:
1902:vertex figure
1899:
1895:
1891:
1886:
1884:
1880:
1877:
1873:
1869:
1860:
1857:
1853:
1834:
1824:
1813:
1811:
1807:
1802:
1797:
1793:
1791:Vertex figure
1789:
1785:
1780:
1777:
1773:
1769:
1765:
1760:
1756:
1753:
1749:
1745:
1741:
1736:
1732:
1727:
1723:
1720:
1716:
1686:
1684:
1680:
1672:
1670:
1666:
1663:
1660:
1656:
1653:
1650:
1646:
1641:
1636:
1630:
1625:
1622:
1621:
1617:
1615:
1613:
1610:
1606:
1602:
1593:
1590:
1586:
1567:
1557:
1546:
1544:
1540:
1536:
1534:Vertex figure
1532:
1528:
1524:
1519:
1515:
1514:Cuboctahedron
1510:
1506:
1501:
1497:
1494:
1490:
1486:
1482:
1473:
1469:
1460:
1456:
1449:
1445:
1415:
1413:
1409:
1401:
1399:
1395:
1392:
1389:
1385:
1380:
1375:
1369:
1362:
1330:
1313:
1303:
1292:
1263:
1260:
1257:
1256:
1253:
1251:
1217:
1183:
1148:
1114:
1080:
1048:
1031:
1021:
1010:
981:
978:
975:
974:
970:
954:
944:
933:
904:
902:
899:
898:
894:
889:
884:
882:
877:
875:
870:
869:
864:
861:
859:
855:
854:Coxeter group
838:
828:
816:
811:
809:
805:
801:
797:
793:
785:
614:
613:
612:
611:
607:
603:
585:
583:
565:
555:
543:
539:
538:vertex figure
535:
531:
527:
523:
515:
513:
511:
507:
503:
467:
451:
441:
430:
429:
399:
383:
373:
362:
361:
358:
356:
352:
348:
347:square tiling
344:
336:
331:
328:
327:
323:
321:
319:
315:
311:
307:
303:
299:
298:vertex figure
296:Cells of the
291:
289:
287:
283:
279:
276:
272:
268:
264:
260:
257:
248:
245:
241:
222:
212:
201:
199:
195:
192:
183:
179:
177:Vertex figure
175:
172:
169:
165:
161:
157:
148:
144:
141:
137:
133:
129:
120:
116:
113:
109:
79:
77:
73:
67:
65:
61:
58:
55:
51:
48:
45:
41:
36:
31:
19:
4442:
4430:
4418:
4398:
4037:
3561:
3557:
3548:
3541:
3525:
3519:
3497:
3469:
3464:
3455:
3436:
3427:
3413:
3399:
3385:
3368:
3364:
3358:
3349:
3309:
3289:
3105:Voronoi cell
3089:
3062:
3059:permutohedra
3052:
3047:
3044:C. H. Hinton
3039:
3034:
3027:
3022:
3016:tessellation
3011:
3007:
3005:
2868:4-face types
2761:
2755:tessellation
2750:
2746:
2744:
2636:
2579:4-face types
2484:
2479:
2473:tessellation
2468:
2464:
2462:
2302:4-face types
2205:
2199:tessellation
2194:
2190:
2188:
2037:4-face types
1996:{3} or t{3}
1934:
1887:
1882:
1876:tessellation
1871:
1867:
1865:
1718:4-face types
1609:tessellation
1604:
1600:
1598:
1447:4-face types
1406:{3} or r{3}
1151:
1078:
812:
795:
791:
789:
606:Voronoi cell
586:
533:
529:
525:
519:
499:
342:
340:
302:tetrahedrons
295:
275:tessellation
270:
266:
262:
253:
111:4-face types
4490:5-polytopes
3294:, creating
3057:are called
3038:calls this
2793:(No image)
2514:(No image)
2237:(No image)
2086:Tetrahedron
1972:(No image)
1937:hyperplanes
1804:, order 48
1643:(No image)
1496:Tetrahedron
1382:(No image)
38:(No image)
4479:Categories
3511:References
3292:alternated
3254:= dual of
2991:Properties
2915:Face types
2887:Cell types
2734:Properties
2682:duopyramid
2624:Cell types
2452:Properties
2360:Octahedron
2347:Cell types
2178:Properties
2082:Cell types
1855:Properties
1775:Face types
1751:Cell types
1588:Properties
1505:Octahedron
1492:Cell types
754:= dual of
530:A4 lattice
516:A4 lattice
243:Properties
167:Face types
139:Cell types
4403:honeycomb
4397:Uniform (
3974:Hexagonal
3907:−
3897:~
3861:~
3825:~
3792:−
3782:~
3749:−
3739:~
3706:−
3696:~
3663:−
3653:~
3583:1209.1878
3564:Model 134
3050:in 1906.
3019:honeycomb
2965:~
2825:0,1,2,3,4
2758:honeycomb
2707:~
2476:honeycomb
2425:~
2202:honeycomb
2151:~
1908:, with 2
1879:honeycomb
1828:~
1740:2t{3,3,3}
1612:honeycomb
1561:~
1307:~
1025:~
948:~
832:~
559:~
445:~
377:~
292:Structure
278:honeycomb
216:~
3488:99035678
3306:See also
2947:Symmetry
2689:Symmetry
2407:Symmetry
2133:Symmetry
1928:, and 6
1916:, and 6
1810:Symmetry
1779:Triangle
1731:t{3,3,3}
1543:Symmetry
890:Extended
887:diagram
885:Extended
881:symmetry
879:Extended
874:symmetry
872:Pentagon
300:are ten
198:Symmetry
4440:qδ
4428:hδ
4383:qδ
4375:hδ
4344:qδ
4336:hδ
4283:qδ
4274:hδ
4222:qδ
4212:hδ
4167:qδ
4157:hδ
4118:qδ
4108:hδ
4066:qδ
4056:hδ
4017:qδ
4007:hδ
3965:qδ
3955:hδ
3619:regular
3300:5-cells
3086:lattice
3036:Coxeter
2986:×10, ]
2876:{3,3,3}
2874:0,1,2,3
2611:0,1,2,3
2536:0,1,2,3
1896:, and
1890:5-cells
1784:Hexagon
1722:{3,3,3}
971:(None)
800:laminae
524:of the
312:and 20
310:5-cells
304:and 20
282:5-cells
191:{3,3,3}
128:{3,3,3}
115:{3,3,3}
68:{3} = 0
4416:δ
4367:δ
4328:δ
4264:δ
4202:δ
4147:δ
4098:δ
4046:δ
3997:δ
3945:δ
3635:Family
3631:Space
3532:
3486:
3476:
3042:after
2940:5-cell
2904:{6}x{}
2808:Family
1922:5-cell
1764:t{3,3}
1658:Family
1358:
1247:
1213:
1179:
1144:
1110:
1076:
892:group
540:, the
261:, the
53:Family
3579:arXiv
3341:Notes
3090:The A
2938:Irr.
2895:{3,3}
2893:0,1,2
2598:0,1,2
2585:0,1,3
2334:0,1,3
2259:0,1,3
2056:0,1,2
1994:0,1,2
1904:is a
1755:{3,3}
796:bases
587:The A
532:, or
349:by a
156:{3,3}
143:{3,3}
4401:-1)-
3621:and
3530:ISBN
3484:LCCN
3474:ISBN
3445:OEIS
3025:. .
3006:The
2798:Type
2745:The
2519:Type
2463:The
2242:Type
2189:The
1977:Type
1924:, 8
1912:, 8
1866:The
1786:{6}
1677:{3}
1648:Type
1599:The
1387:Type
1328:×10
1258:r10
806:and
792:tops
790:The
520:The
341:The
284:and
43:Type
3373:doi
3063:n+1
3010:or
2923:{6}
2919:{4}
2749:or
2613:{3}
2600:{3}
2587:{3}
2467:or
2336:{3}
2323:{3}
2321:1,2
2310:{3}
2308:0,2
2193:or
2071:{3}
2069:0,3
2058:{3}
2045:{3}
2043:0,1
1870:or
1781:{3}
1675:0,1
1603:or
1481:{3}
1479:0,3
1468:{3}
1466:0,2
1455:{3}
1404:0,2
1046:×2
976:i2
900:a1
860::
269:or
254:In
189:0,3
171:{3}
4481::
4467:21
4463:•
4460:k1
4456:•
4453:k2
4394:E
4385:11
4377:11
4369:11
4355:E
4346:10
4338:10
4330:10
4314:E
4307:21
4303:•
4300:51
4296:•
4293:52
4247:E
4240:31
4236:•
4233:33
4185:E
4178:22
4130:E
4081:E
4029:E
3980:E
3928:E
3882:/
3846:/
3551:,
3482:.
3443:,
3369:04
3367:.
3226:∪
3198:∪
3170:∪
3142:∪
3111:.
2997:,
2764:.
2728:×2
2482:.
2446:×2
2208:.
2172:×2
1892:,
1885:.
1849:×2
1614:.
1582:×2
1261:]
1150:,
979:]
726:∪
698:∪
670:∪
642:∪
584:.
357::
265:,
237:×2
4465:k
4458:2
4451:1
4443:n
4431:n
4419:n
4408:0
4399:n
4361:0
4322:0
4305:5
4298:2
4291:1
4285:9
4276:9
4266:9
4256:0
4238:3
4231:1
4224:8
4214:8
4204:8
4194:0
4176:2
4169:7
4159:7
4149:7
4139:0
4120:6
4110:6
4100:6
4090:0
4068:5
4058:5
4048:5
4038:0
4019:4
4009:4
3999:4
3989:0
3967:3
3957:3
3947:3
3937:0
3910:1
3904:n
3894:E
3868:4
3858:F
3832:2
3822:G
3795:1
3789:n
3779:D
3752:1
3746:n
3736:B
3709:1
3703:n
3693:C
3666:1
3660:n
3650:A
3610:e
3603:t
3596:v
3581::
3572:.
3490:.
3421:.
3407:.
3393:.
3379:.
3375::
3101:4
3095:4
3084:4
3082:A
2972:4
2962:A
2891:t
2872:t
2823:t
2714:4
2704:A
2609:t
2596:t
2583:t
2534:t
2432:4
2422:A
2332:t
2319:t
2306:t
2257:t
2158:4
2148:A
2067:t
2054:t
2041:t
1992:t
1835:4
1825:A
1673:t
1568:4
1558:A
1477:t
1464:t
1453:1
1451:t
1402:t
1361:7
1314:4
1304:A
1250:6
1219:,
1216:5
1185:,
1182:4
1147:3
1116:,
1113:2
1082:,
1079:1
1032:4
1022:A
955:4
945:A
839:4
829:A
598:4
592:4
566:4
556:A
452:2
442:C
384:3
374:A
223:4
213:A
187:t
154:1
152:t
126:1
124:t
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
