Knowledge (XXG)

List of mathematical shapes

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1455: 7525: 1938:, or tilings, of spherical space. Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the (three-dimensional) platonic solids tessellate the 'two'-dimensional 'surface' of the sphere. 5758: 5718: 5675: 5868: 5208: 5773: 5878: 5808: 5783: 5540: 5713: 5660: 5645: 5813: 5828: 5203: 5680: 5260: 5213: 4405: 4250: 5615: 5163: 4812: 4782: 1475: 5853: 5833: 5818: 5620: 4672: 4557: 4365: 5605: 5133: 4290: 5535: 5188: 5168: 5158: 5148: 5600: 5565: 5193: 4802: 4772: 4612: 4022: 3887: 2598: 1155: 1849:
The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.
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4932: 4847: 4717: 4677: 4637: 4310: 3967: 3862: 3625: 2978: 2675: 2650: 2400: 1529: 1383: 2613: 2297: 6200: 6188: 6137: 5873: 5778: 5753: 5005: 4927: 4912: 4832: 4787: 4767: 4752: 4732: 4667: 4622: 4617: 4547: 4542: 4235: 4225: 4112: 4107: 4092: 4047: 4037: 3957: 3912: 3902: 3823: 3713: 3703: 2655: 2618: 2312: 2302: 930: 895: 621: 5253: 7615: 7411: 6245: 6240: 6213: 6192: 6158: 5665: 5625: 5585: 5522: 5098: 5093: 4727: 4652: 4582: 4305: 4167: 4117: 4057: 4052: 3927: 3917: 3852: 3811: 3635: 3040: 3035: 2660: 2385: 373: 5320: 2608: 2603: 6265: 6167: 6019: 5838: 5823: 5733: 5708: 5655: 5590: 4627: 4552: 4517: 4507: 4470: 4420: 4340: 4197: 4157: 4032: 3897: 3615: 2988: 2983: 2690: 2583: 2532: 1086: 900: 6416: 1464: 7202: 6175: 5965: 5728: 5108: 5088: 4942: 4922: 4842: 4502: 4450: 4330: 4285: 4192: 4187: 3620: 2998: 2993: 2395: 1623: 1534: 1368: 1167: 1033: 7503: 8256: 7689: 7048: 7040: 6011: 6007: 5995: 5400: 5365: 5075: 4917: 4837: 4642: 4527: 4415: 4335: 4260: 4067: 4012: 3942: 3364: 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197: 98: 7461: 1963: 797: 660: 544: 8232: 7488: 7446: 7431: 8022: 7989: 7914: 7887: 7868: 7863: 7858: 7813: 7546: 7466: 7456: 7401: 7386: 7340: 7072: 6811: 6737: 6733: 6613: 6555: 6551: 6439: 6388: 6384: 6250: 6230: 6154: 6088: 6084: 6079: 6075: 6053: 5310: 5295: 5035: 4907: 4822: 4475: 3816: 3791: 3751: 3737: 3698: 3590: 3354: 3314: 3280: 3270: 3091: 2894: 2889: 2373: 2368: 2341: 2317: 2029: 1853: 1388: 1162: 1078: 1066: 655: 554: 425: 172: 43: 8133: 7493: 7481: 7441: 7416: 7954: 7760: 7664: 7571: 7476: 7451: 7436: 7376: 7226: 7198: 6934: 6930: 6745: 6725: 6717: 6543: 6535: 6376: 6368: 6255: 6183: 6045: 6041: 5906: 5505: 5430: 5355: 4877: 4572: 4390: 4380: 4007: 3828: 3742: 3595: 3389: 3297: 2946: 2941: 2936: 2931: 2346: 1947: 1893: 1883: 1310: 1305: 1192: 1172: 1126: 985: 809: 740: 539: 403: 187: 118: 8114: 8029: 7994: 7982: 7940: 7853: 7710: 7566: 7556: 7335: 6144: 5445: 5390: 5083: 4862: 4682: 4562: 3732: 3435: 3418: 3401: 3337: 3321: 3290: 3265: 3208: 3165: 3145: 3120: 2921: 2561: 2134: 2014: 1903: 1871: 1865: 1859: 1539: 1438: 1363: 1348: 1320: 1018: 1011: 910: 888: 871: 866: 825: 643: 487: 452: 435: 309: 239: 177: 152: 138: 108: 30: 7765: 1918:(3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak. 1295: 876: 606: 361: 7907: 7882: 7775: 7725: 7345: 7219: 7098: 7090: 7082: 6829: 6821: 6628: 6286: 6023: 6003: 5999: 5901: 5896: 5380: 4980: 4897: 4395: 4385: 3766: 3660: 3580: 3452: 3275: 3250: 3175: 3130: 3115: 2746: 2537: 2512: 2507: 2440: 2251: 2224: 2034: 1992: 1985: 1958:
There is only one polytope in 1 dimension, whose boundaries are the two endpoints of a
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There are no nonconvex Euclidean regular tessellations in any number of dimensions.
7654: 7625: 7181: 7148: 6100: 5415: 5395: 5300: 4990: 4872: 3680: 3517: 3507: 3492: 3482: 3472: 3462: 3457: 3181: 3150: 3072: 2865: 2848: 2256: 2163: 2114: 2104: 2094: 2089: 1997: 1959: 1935: 1925:: not itself an element of a polytope, but a diagram showing how the elements meet. 1413: 1300: 1229: 1208: 1138: 1099: 1071: 965: 935: 758: 534: 430: 420: 341: 277: 20: 1244: 7900: 7630: 7586: 7528: 7176: 7164: 7131: 6893: 6750: 6564: 6393: 5911: 5020: 3685: 3665: 3477: 3467: 2831: 2814: 2797: 2780: 2763: 2261: 2229: 2109: 2099: 1980: 1454: 1353: 1338: 1177: 854: 725: 648: 633: 581: 492: 351: 304: 299: 202: 75: 17: 8001: 7674: 7591: 7186: 7126: 7114: 6963: 6688: 6510: 6470: 6347: 6311: 5886: 5360: 5063: 5030: 5025: 4975: 3675: 3442: 3062: 2855: 2838: 2717: 2573: 2275: 2247: 2212: 2084: 2074: 1915: 1325: 1280: 1182: 1044: 859: 715: 519: 467: 346: 289: 222: 157: 8214: 8015: 7620: 7214: 7136: 6856: 6655: 6481: 6322: 6292: 5942: 5923: 5916: 5315: 4970: 3833: 3786: 3557: 3547: 3537: 3447: 3369: 3349: 3220: 3198: 3067: 2911: 2821: 2804: 2787: 2770: 2753: 2741: 2727: 2431: 2351: 2242: 2200: 2173: 2168: 2129: 2079: 2039: 2002: 1877: 1275: 1259: 1249: 1239: 1049: 1023: 975: 835: 774: 745: 694: 598: 472: 294: 192: 167: 8152: 7524: 7785: 7715: 7679: 7601: 7596: 7299: 6149: 5958: 5954: 5058: 5040: 3542: 3527: 3487: 3408: 3384: 3344: 3245: 3203: 3186: 3155: 2578: 2479: 2474: 2455: 2450: 2356: 2280: 2178: 2124: 2119: 2064: 2054: 2044: 1566: 1418: 1290: 1006: 925: 920: 905: 840: 704: 616: 591: 586: 482: 462: 272: 227: 7735: 7669: 7635: 7581: 7551: 7209: 7171: 6298: 5976: 5972: 5950: 5946: 5000: 3552: 3532: 3430: 3425: 3413: 3396: 3331: 3233: 3170: 3101: 3096: 2860: 2843: 2736: 2445: 2436: 2422: 2285: 2233: 2146: 2069: 2059: 2049: 2024: 1975: 1523: 1482: in this section. Unsourced material may be challenged and removed. 1343: 994: 820: 735: 709: 689: 679: 477: 264: 53: 8008: 7561: 7421: 7121: 6926: 6721: 6713: 6539: 6531: 6372: 6364: 5938: 4985: 3160: 2826: 2809: 2792: 2775: 2758: 2469: 2427: 2418: 1001: 915: 845: 777:, a quasi-helical shape characterized by multiple tendril perversions 638: 524: 162: 7799: 7523: 3239: 2151: 1795: 1786: 1754: 1115: 1054: 881: 763: 23: 5759:
Compound of twelve pentagonal antiprisms with rotational freedom
3670: 2238: 628: 5719:
Compound of small stellated dodecahedron and great dodecahedron
5676:
Compound of great icosahedron and great stellated dodecahedron
1449: 8189:"Self-Avoiding Random Walks - Wolfram Demonstrations Project" 8066:[Constant Reaction Curve, Quintic of l'Hospital]. 5869:
Prismatic compound of antiprisms with rotational freedom
1684: 1763: 1731: 1719: 8064:"Courbe a Réaction Constante, Quintique De L'Hospital" 5209:
Omnitruncated triangular-hexagonal prismatic honeycomb
1652: 5774:
Compound of twelve tetrahedra with rotational freedom
5879:
Prismatic compound of prisms with rotational freedom
5809:
Compound of two great inverted snub icosidodecahedra
5784:
Compound of twenty octahedra with rotational freedom
5541:
Compound of eight octahedra with rotational freedom
5714:Compound of six tetrahedra with rotational freedom 5661:Compound of four octahedra with rotational freedom 5646:Compound of five uniform great rhombicuboctahedra 1934:The classical convex polytopes may be considered 5814:Compound of two great retrosnub icosidodecahedra 5829:Compound of two inverted snub dodecadodecahedra 5700:Compound of six pentagrammic crossed antiprisms 5204:Rhombitriangular-hexagonal prismatic honeycomb 5681:Compound of six cubes with rotational freedom 5261:Convex uniform honeycombs in hyperbolic space 5214:Snub triangular-hexagonal prismatic honeycomb 4406:Small ditrigonal dodecacronic hexecontahedron 4251:Great ditrigonal dodecacronic hexecontahedron 2901:Tessellations of Euclidean 5-space and higher 2712:Five-dimensional regular polytopes and higher 2568:Degenerate tessellations of Euclidean 3-space 8: 5616:Compound of five small stellated dodecahedra 5164:Gyroelongated triangular prismatic honeycomb 4813:Paragyrate diminished rhombicosidodecahedron 4783:Metagyrate diminished rhombicosidodecahedron 5854:Compound of two snub icosidodecadodecahedra 5834:Compound of two small stellated dodecahedra 5819:Compound of two great snub icosidodecahedra 771:(a transition between back-to-back helices) 5621:Compound of five stellated truncated cubes 4673:Gyrate bidiminished rhombicosidodecahedron 4558:Bigyrate diminished rhombicosidodecahedron 4366:Medial inverted pentagonal hexecontahedron 7830:This is a table of all the shapes above. 5606:Compound of five small rhombicuboctahedra 5134:Cantitruncated alternated cubic honeycomb 4291:Great inverted pentagonal hexecontahedron 3228:Polygons named for their number of sides 1498:Learn how and when to remove this message 7832: 5536:Compound of dodecahedron and icosahedron 5189:Triangular-hexagonal prismatic honeycomb 5169:Elongated triangular prismatic honeycomb 5159:Gyroelongated alternated cubic honeycomb 5149:Gyrated tetrahedral-octahedral honeycomb 1571: 8055: 7520:Geometry and other areas of mathematics 5601:Compound of five small cubicuboctahedra 5566:Compound of five great cubicuboctahedra 5194:Truncated hexagonal prismatic honeycomb 4803:Parabidiminished rhombicosidodecahedron 4773:Metabidiminished rhombicosidodecahedron 4613:Elongated pentagonal orthocupolarotunda 4023:Small ditrigonal dodecicosidodecahedron 3888:Great ditrigonal dodecicosidodecahedron 2599:Order-6 triangular hosohedral honeycomb 1156:List of fractals by Hausdorff dimension 5844:Compound of two snub dodecadodecahedra 5769:Compound of twelve pentagrammic prisms 5611:Compound of five small rhombihexahedra 5581:Compound of five great rhombihexahedra 5513:Regular and uniform compound polyhedra 5249:Trapezo-rhombic dodecahedral honeycomb 5154:Gyrated triangular prismatic honeycomb 4798:Parabiaugmented truncated dodecahedron 4763:Metabiaugmented truncated dodecahedron 4703:Gyroelongated pentagonal cupolarotunda 4598:Elongated pentagonal gyrocupolarotunda 4083:Small stellated truncated dodecahedron 3993:Nonconvex great rhombicosidodecahedron 3963:Great stellated truncated dodecahedron 3014:Order-5 icosahedral 120-cell honeycomb 1696: 1565:This table shows a summary of regular 5789:Compound of twenty tetrahemihexahedra 5641:Compound of five truncated tetrahedra 5139:Runcinated alternated cubic honeycomb 4063:Small retrosnub icosicosidodecahedron 3933:Great inverted snub icosidodecahedron 3009:Pentagrammic-order 600-cell honeycomb 7: 5859:Compound of two truncated tetrahedra 5794:Compound of twenty triangular prisms 5764:Compound of twelve pentagonal prisms 5744:Compound of ten truncated tetrahedra 5199:Truncated square prismatic honeycomb 5174:Elongated alternated cubic honeycomb 5129:Truncated alternated cubic honeycomb 4948:Tridiminished rhombicosidodecahedron 2401:Enneagrammic-order enneagonal tiling 2391:Heptagrammic-order heptagonal tiling 1480:adding citations to reliable sources 676:including Catacaustic and Diacaustic 5704:Compound of six pentagrammic prisms 5631:Compound of five tetrahemihexahedra 5546:Compound of eight triangular prisms 4938:Triaugmented truncated dodecahedron 4808:Parabigyrate rhombicosidodecahedron 4778:Metabigyrate rhombicosidodecahedron 4608:Elongated pentagonal orthobirotunda 4523:Augmented tridiminished icosahedron 3998:Nonconvex great rhombicuboctahedron 3576:Uniform tilings in hyperbolic plane 3046:Order-4 24-cell honeycomb honeycomb 3025:Tessellations of hyperbolic 5-space 2958:Tessellations of hyperbolic 4-space 2625:Tessellations of hyperbolic 3-space 2614:Order-2 triangular tiling honeycomb 2594:Order-4 square hosohedral honeycomb 2207:Three-dimensional regular polytopes 5691:Compound of six decagrammic prisms 5671:Compound of four triangular prisms 5596:Compound of five octahemioctahedra 5571:Compound of five great dodecahedra 5561:Compound of five cubohemioctahedra 4693:Gyroelongated pentagonal birotunda 4663:Elongated triangular orthobicupola 4603:Elongated pentagonal orthobicupola 4593:Elongated pentagonal gyrobirotunda 4411:Small dodecacronic hexecontahedron 4361:Medial icosacronic hexecontahedron 4301:Great pentagrammic hexecontahedron 4256:Great dodecacronic hexecontahedron 4028:Small ditrigonal icosidodecahedron 3893:Great ditrigonal icosidodecahedron 3004:Small stellated 120-cell honeycomb 2874:Tessellations of Euclidean 4-space 2706:Order-6 hexagonal tiling honeycomb 2701:Order-5 hexagonal tiling honeycomb 2696:Order-4 hexagonal tiling honeycomb 2619:Order-2 hexagonal tiling honeycomb 2551:Tessellations of Euclidean 3-space 2407:Four-dimensional regular polytopes 493:Isochrone of Huygens (Tautochrone) 410:Curve families with variable genus 368:Curves with genus greater than one 14: 6271:Omnitruncated 5-simplex honeycomb 6205:Truncated icosidodecahedral prism 5799:Compound of two great dodecahedra 5739:Compound of ten triangular prisms 5696:Compound of six pentagonal prisms 5651:Compound of four hexagonal prisms 5576:Compound of five great icosahedra 5351:Hexagonal truncated trapezohedron 4738:Gyroelongated triangular bicupola 4688:Gyroelongated pentagonal bicupola 4658:Elongated triangular gyrobicupola 4588:Elongated pentagonal gyrobicupola 4568:Diminished rhombicosidodecahedron 4466:Small stellapentakis dodecahedron 4446:Small icosacronic hexecontahedron 4441:Small hexagrammic hexecontahedron 4431:Small hexacronic icositetrahedron 4371:Medial pentagonal hexecontahedron 4326:Great stellapentakis dodecahedron 4281:Great icosacronic hexecontahedron 4271:Great hexacronic icositetrahedron 3983:Icositruncated dodecadodecahedron 3973:Great truncated icosidodecahedron 3953:Great snub dodecicosidodecahedron 3938:Great retrosnub icosidodecahedron 3883:Great disnub dirhombidodecahedron 1970:Two-dimensional regular polytopes 1880:or Teron, a 4-dimensional element 1725: 1690: 1112:(saddle-like surface for 3 legs.) 6425:, there is a prism of dimension 5864:Prismatic compound of antiprisms 5849:Compound of two snub dodecahedra 5804:Compound of two great icosahedra 5724:Compound of ten hexagonal prisms 5686:Compound of six decagonal prisms 5636:Compound of five truncated cubes 5232:Disphenoid tetrahedral honeycomb 5124:Tetrahedral-octahedral honeycomb 4953:Trigyrate rhombicosidodecahedron 4713:Gyroelongated pentagonal rotunda 4708:Gyroelongated pentagonal pyramid 4533:Augmented truncated dodecahedron 4356:Medial hexagonal hexecontahedron 4351:Medial disdyakis triacontahedron 4346:Medial deltoidal hexecontahedron 4296:Great pentagonal hexecontahedron 4221:Great deltoidal icositetrahedron 4078:Small snub icosicosidodecahedron 3988:Inverted snub dodecadodecahedron 1954:One-dimensional regular polytope 1453: 667:Curves generated by other curves 7287:Alternated hypercubic honeycomb 6421:For each polytope of dimension 5531:Compound of cube and octahedron 5219:Snub square prismatic honeycomb 4793:Parabiaugmented hexagonal prism 4758:Metabiaugmented hexagonal prism 4743:Gyroelongated triangular cupola 4698:Gyroelongated pentagonal cupola 4538:Augmented truncated tetrahedron 4436:Small hexagonal hexecontahedron 4401:Small complex icosidodecahedron 4276:Great hexagonal hexecontahedron 4246:Great disnub dirhombidodecacron 4241:Great disdyakis triacontahedron 4216:Great deltoidal hexecontahedron 4211:Great complex icosidodecahedron 3051:Tesseractic honeycomb honeycomb 2671:Order-4 square tiling honeycomb 2609:Order-2 square tiling honeycomb 1658: 1463:needs additional citations for 951:Triply periodic minimal surface 8193:WOLFRAM Demonstrations Project 6261:Omnitruncated 5-cell honeycomb 6028:Great grand stellated 120-cell 5471:Truncated rhombic dodecahedron 5436:Square truncated trapezohedron 5336:Gyroelongated square dipyramid 5278:Order-5 dodecahedral honeycomb 5268:Order-4 dodecahedral honeycomb 5237:Rhombic dodecahedral honeycomb 5184:Triangular prismatic honeycomb 5114:Runcitruncated cubic honeycomb 5104:Cantitruncated cubic honeycomb 4723:Gyroelongated square bipyramid 4648:Elongated triangular bipyramid 4578:Elongated pentagonal bipyramid 4376:Medial rhombic triacontahedron 4231:Great dirhombicosidodecahedron 4098:Stellated truncated hexahedron 3878:Great dirhombicosidodecahedron 2686:Order-6 dodecahedral honeycomb 2636:Order-5 dodecahedral honeycomb 2631:Order-4 dodecahedral honeycomb 2604:Hexagonal hosohedral honeycomb 2543:Great grand stellated 120-cell 1: 8134:"Seiffert's Spherical Spiral" 6450:Truncated 5-simplex honeycomb 6180:Truncated cuboctahedral prism 5556:Compound of five cuboctahedra 5481:Truncated triakis tetrahedron 5466:Triaugmented triangular prism 5411:Rhombo-hexagonal dodecahedron 5179:Hexagonal prismatic honeycomb 5119:Omnitruncated cubic honeycomb 5011:Rhombo-hexagonal dodecahedron 4933:Triaugmented triangular prism 4848:Pentagonal orthocupolarotunda 4718:Gyroelongated square bicupola 4678:Gyrate rhombicosidodecahedron 4638:Elongated square gyrobicupola 4311:Great rhombic triacontahedron 3968:Great truncated cuboctahedron 3863:Ditrigonal dodecadodecahedron 3626:Truncated trihexagonal tiling 2979:Order-5 tesseractic honeycomb 2676:Order-6 tetrahedral honeycomb 2651:Order-3 icosahedral honeycomb 2286:Henagon#In spherical geometry 1530:diffusion-limited aggregation 8171:"Monkeys tree fractal curve" 7412:Warith's hyperplexicon shape 6417:Prismatic uniform 5-polytope 6201:Rhombicosidodecahedral prism 6189:Truncated dodecahedral prism 6138:Prismatic uniform polychoron 5874:Prismatic compound of prisms 5779:Compound of twenty octahedra 5754:Compound of three tetrahedra 5006:Trapezo-rhombic dodecahedron 4928:Triaugmented hexagonal prism 4913:Triangular hebesphenorotunda 4833:Pentagonal gyrocupolarotunda 4788:Parabiaugmented dodecahedron 4768:Metabidiminished icosahedron 4753:Metabiaugmented dodecahedron 4733:Gyroelongated square pyramid 4668:Elongated triangular pyramid 4623:Elongated pentagonal rotunda 4618:Elongated pentagonal pyramid 4548:Biaugmented triangular prism 4543:Biaugmented pentagonal prism 4236:Great disdyakis dodecahedron 4226:Great dirhombicosidodecacron 4113:Truncated great dodecahedron 4108:Truncated dodecadodecahedron 4093:Snub icosidodecadodecahedron 4048:Small dodecicosidodecahedron 4038:Small dodecahemidodecahedron 3958:Great snub icosidodecahedron 3913:Great dodecicosidodecahedron 3903:Great dodecahemidodecahedron 3824:Prismatic uniform polyhedron 3720:Abstract regular polyhedra ( 3714:Great stellated dodecahedron 3704:Small stellated dodecahedron 3334:(equilateral parallelogram) 2656:Order-4 octahedral honeycomb 2313:Great stellated dodecahedron 2303:Small stellated dodecahedron 1812: 1780: 1748: 1713: 1678: 1646: 1617: 622:Nonuniform rational B-spline 16:Following is a list of some 8235:[Ribaucour curve]. 7616:Ex-tangential quadrilateral 6246:Truncated 24-cell honeycomb 6241:Rectified 24-cell honeycomb 6214:Uniform antiprismatic prism 6193:Truncated icosahedral prism 6159:Truncated tetrahedral prism 5666:Compound of four tetrahedra 5626:Compound of five tetrahedra 5586:Compound of five icosahedra 5523:Uniform polyhedron compound 5099:Cantellated cubic honeycomb 5094:Bitruncated cubic honeycomb 4728:Gyroelongated square cupola 4653:Elongated triangular cupola 4583:Elongated pentagonal cupola 4306:Great pentakis dodecahedron 4168:Pentagonal icositetrahedron 4118:Truncated great icosahedron 4058:Small icosihemidodecahedron 4053:Small icosicosidodecahedron 3928:Great icosihemidodecahedron 3918:Great icosicosidodecahedron 3853:Cubitruncated cuboctahedron 3812:Truncated icosidodecahedron 3636:Elongated triangular tiling 3041:16-cell honeycomb honeycomb 3036:24-cell honeycomb honeycomb 2661:Triangular tiling honeycomb 2396:Order-9 enneagrammic tiling 2386:Order-7 heptagrammic tiling 1962:, represented by the empty 284:Families of variable degree 8273: 7913: 7881: 7852: 7660:Peaucellier–Lipkin linkage 6266:Truncated 5-cell honeycomb 6168:Truncated octahedral prism 6020:Great icosahedral 120-cell 5839:Compound of two snub cubes 5824:Compound of two icosahedra 5734:Compound of ten tetrahedra 5709:Compound of six tetrahedra 5656:Compound of four octahedra 5591:Compound of five octahedra 5050: 4960:Other nonuniform polyhedra 4628:Elongated square bipyramid 4553:Biaugmented truncated cube 4518:Augmented triangular prism 4508:Augmented pentagonal prism 4488: 4471:Small triambic icosahedron 4421:Small dodecahemidodecacron 4341:Great triambic icosahedron 4198:Pentagonal hexecontahedron 4158:Deltoidal icositetrahedron 4127:Duals of uniform polyhedra 4033:Small dodecahemicosahedron 3898:Great dodecahemicosahedron 3647: 3616:Truncated hexagonal tiling 2989:Order-5 120-cell honeycomb 2984:Order-4 120-cell honeycomb 2691:Hexagonal tiling honeycomb 2584:Order-2 apeirogonal tiling 2533:Great icosahedral 120-cell 1414:Takagi or Blancmange curve 1384:Sierpiński arrowhead curve 1153: 1087:list of algebraic surfaces 807: 35: 7988: 7886: 7862: 7857: 7203:List of regular polytopes 6176:Rhombicuboctahedral prism 5986:(Regular star 4-polytope) 5966:Abstract regular polytope 5729:Compound of ten octahedra 5109:Rectified cubic honeycomb 5089:Truncated cubic honeycomb 4943:Tridiminished icosahedron 4923:Triaugmented dodecahedron 4843:Pentagonal orthobirotunda 4503:Augmented hexagonal prism 4451:Small icosihemidodecacron 4331:Great triakis icosahedron 4286:Great icosihemidodecacron 4193:Disdyakis triacontahedron 4188:Deltoidal hexecontahedron 3695:(regular star polyhedra) 3693:Kepler–Poinsot polyhedron 3621:Rhombitrihexagonal tiling 2999:Cubic honeycomb honeycomb 2994:Order-4 24-cell honeycomb 1874:, a 3-dimensional element 1868:, a 2-dimensional element 1862:, a 1-dimensional element 1856:, a 0-dimensional element 1535:Self-avoiding random walk 1404:Smith–Volterra–Cantor set 1168:Apollonian sphere packing 1034:Hyperboloid of two sheets 931:Riemann's minimal surface 896:Catalan's minimal surface 7690:Tangential quadrilateral 7472:Warith-Nathaniyal mixbox 7327:(non-Euclidean geometry) 6012:Grand stellated 120-cell 6008:Great stellated 120-cell 5996:Small stellated 120-cell 5984:Schläfli–Hess 4-polytope 5401:Rhombic enneacontahedron 5366:Infinite skew polyhedron 5076:Convex uniform honeycomb 4918:Triangular orthobicupola 4838:Pentagonal orthobicupola 4643:Elongated square pyramid 4528:Augmented truncated cube 4416:Small dodecahemicosacron 4336:Great triakis octahedron 4261:Great dodecahemicosacron 4068:Small rhombidodecahedron 4013:Rhombidodecadodecahedron 3943:Great rhombidodecahedron 3365:Tangential quadrilateral 3286:Isosceles right triangle 3019:Great 120-cell honeycomb 2969:Order-5 5-cell honeycomb 2523:Grand stellated 120-cell 2518:Great stellated 120-cell 2503:Small stellated 120-cell 2491:Star or (Schläfli–Hess) 2298:Kepler–Poinsot polyhedra 1605:Hyperbolic Tessellations 1266:Iterated function system 1061:Pseudospherical surfaces 1029:Hyperboloid of one sheet 8096:"Isochrone de Varignon" 7969:Trisectrix of Maclaurin 7826:Table of all the Shapes 7751:Curve of constant width 7695:Bicentric quadrilateral 7357:Special right triangles 6918:Pentellated 8-orthoplex 6906:Cantellated 8-orthoplex 6846:Eight-dimensional space 6775:Pentellated 7-orthoplex 6763:Cantellated 7-orthoplex 6645:Seven-dimensional space 6577:Cantellated 6-orthoplex 6406:Cantellated 5-orthoplex 6209:Snub dodecahedral prism 6197:Icosidodecahedral prism 5749:Compound of three cubes 5496:Regular skew polyhedron 5476:Truncated trapezohedron 5376:Near-miss Johnson solid 5273:Order-5 cubic honeycomb 5254:Weaire–Phelan structure 5144:Quarter cubic honeycomb 5016:Truncated trapezohedron 4828:Pentagonal gyrobicupola 4633:Elongated square cupola 4173:Rhombic triacontahedron 4088:Snub dodecadodecahedron 4018:Small cubicuboctahedron 3978:Icosidodecadodecahedron 3923:Great icosidodecahedron 3873:Great cubicuboctahedron 3843:Uniform star polyhedron 3782:Truncated cuboctahedron 3601:Truncated square tiling 3571:List of uniform tilings 3357:(regular quadrilateral) 3078:Regular skew polyhedron 2681:Order-6 cubic honeycomb 2666:Square tiling honeycomb 2641:Order-5 cubic honeycomb 2380:Hyperbolic star-tilings 1910:-3)-dimensional element 1900:-2)-dimensional element 1890:-1)-dimensional element 1726:Schläfli–Hess polychora 1520:with random orientation 946:Schwarz minimal surface 901:Costa's minimal surface 394:Classical modular curve 379:Elkies trinomial curves 218:Lemniscate of Bernoulli 129:Trisectrix of Maclaurin 8078:"Isochrone de Leibniz" 7531: 7504:Zahian's Hyperplexicon 7310:Delaunay triangulation 6984:Pentellated 8-demicube 6972:Cantellated 8-demicube 6914:Stericated 8-orthoplex 6910:Runcinated 8-orthoplex 6771:Stericated 7-orthoplex 6767:Runcinated 7-orthoplex 6709:Pentellated 7-demicube 6697:Cantellated 7-demicube 6585:Stericated 6-orthoplex 6581:Runcinated 6-orthoplex 6519:Cantellated 6-demicube 6410:Runcinated 5-orthoplex 6356:Cantellated 5-demicube 6308:Five-dimensional space 6236:Snub 24-cell honeycomb 5551:Compound of five cubes 5491:Trigonal trapezohedron 5451:Tetradyakis hexahedron 5321:Boerdijk–Coxeter helix 5226:Dual uniform honeycomb 4513:Augmented sphenocorona 4498:Augmented dodecahedron 4456:Small rhombidodecacron 4316:Great rhombidodecacron 4163:Disdyakis dodecahedron 4073:Small rhombihexahedron 4043:Small dodecicosahedron 3948:Great rhombihexahedron 3908:Great dodecicosahedron 3807:Rhombicosidodecahedron 3797:Truncated dodecahedron 3178:without crossing lines 2589:Apeirogonal hosohedron 2464:Degenerate (spherical) 2270:Degenerate (spherical) 2141:Degenerate (spherical) 1609:and/or vertex figures 1555:Multiplicative cascade 1133:Miscellaneous surfaces 1123:(inversion of a torus) 8237:mathworld.wolfram.com 8233:"Courbe De Ribaucour" 8219:mathworld.wolfram.com 8177:on 21 September 2002. 8157:mathworld.wolfram.com 8138:mathworld.wolfram.com 7607:Deferent and epicycle 7527: 7143:Hyperbolic honeycombs 7078:8-demicubic honeycomb 6980:Stericated 8-demicube 6976:Runcinated 8-demicube 6922:Hexicated 8-orthoplex 6902:Truncated 8-orthoplex 6898:Rectified 8-orthoplex 6889:Heptellated 8-simplex 6881:Pentellated 8-simplex 6869:Cantellated 8-simplex 6817:7-demicubic honeycomb 6759:Truncated 7-orthoplex 6755:Rectified 7-orthoplex 6705:Stericated 7-demicube 6701:Runcinated 7-demicube 6680:Pentellated 7-simplex 6668:Cantellated 7-simplex 6624:6-demicubic honeycomb 6573:Truncated 6-orthoplex 6569:Rectified 6-orthoplex 6527:Stericated 6-demicube 6523:Runcinated 6-demicube 6506:Pentellated 6-simplex 6494:Cantellated 6-simplex 6467:Six-dimensional space 6455:5-demicubic honeycomb 6402:Truncated 5-orthoplex 6398:Rectified 5-orthoplex 6360:Runcinated 5-demicube 6335:Cantellated 5-simplex 6226:Tesseractic honeycomb 6164:Truncated cubic prism 6067:Cantellated tesseract 5486:Tridyakis icosahedron 5456:Tetrated dodecahedron 5426:Schönhardt polyhedron 5283:Icosahedral honeycomb 4868:Snub square antiprism 4183:Pentakis dodecahedron 3802:Truncated icosahedron 3757:Truncated tetrahedron 3722:Projective polyhedron 3631:Snub hexagonal tiling 3126:Constructible polygon 3031:5-orthoplex honeycomb 2927:Tesseractic honeycomb 2885:Tesseractic honeycomb 2646:Icosahedral honeycomb 1691:Kepler–Poinsot solids 1569:counts by dimension. 1039:Hyperbolic paraboloid 971:Real projective plane 503:Isochrone of Varignon 442:Transcendental curves 416:Polynomial lemniscate 320:Rational normal curve 253:Quintic of l'Hospital 8115:"Spirale de Galilée" 8102:on 13 November 2004. 8084:on 14 November 2004. 7948:Semicubical Parabola 7934:Conchoid of de Sluze 7577:Cyclic quadrilateral 7427:Hyperplexicon Gyroid 7372:Triangular bipyramid 7315:Equilateral triangle 7282:Hypercubic honeycomb 7193:Dimensional families 6988:Hexicated 8-demicube 6968:Truncated 8-demicube 6877:Stericated 8-simplex 6873:Runcinated 8-simplex 6693:Truncated 7-demicube 6676:Stericated 7-simplex 6672:Runcinated 7-simplex 6515:Truncated 6-demicube 6502:Stericated 6-simplex 6498:Runcinated 6-simplex 6352:Truncated 5-demicube 6343:Stericated 5-simplex 6339:Runcinated 5-simplex 6131:Cantellated 600-cell 6114:Cantellated 120-cell 6071:Runcinated tesseract 6016:Great grand 120-cell 5992:Icosahedral 120-cell 5461:Triangular bifrustum 5386:Pentagonal bifrustum 5371:Jessen's icosahedron 5341:Heronian tetrahedron 5053:spherical polyhedron 4903:Triangular bipyramid 4893:Square orthobicupola 4818:Pentagonal bipyramid 4748:Hebesphenomegacorona 4461:Small rhombihexacron 4426:Small dodecicosacron 4321:Great rhombihexacron 4266:Great dodecicosacron 4143:Rhombic dodecahedron 3772:Truncated octahedron 3310:Cyclic quadrilateral 3256:Equilateral triangle 2952:Hypercubic honeycomb 2907:Hypercubic honeycomb 2528:Great grand 120-cell 2498:Icosahedral 120-cell 2020:Equilateral triangle 1514:with random interval 1476:improve this article 1434:Weierstrass function 1301:Feigenbaum attractor 721:Negative pedal curve 498:Isochrone of Leibniz 213:Lemniscate of Gerono 114:Semicubical parabola 104:Conchoid of de Sluze 8213:Weisstein, Eric W. 8151:Weisstein, Eric W. 8132:Weisstein, Eric W. 7976:Tschirnhausen Cubic 7920:Folium of Descartes 7876:Quartic Plane Curve 7835: 7795:Higher-order spline 7746:Cubic Hermite curve 7509:Nathaniyal's object 7362:Spiral of Theodorus 7351:Sierpinski triangle 7325:Hyperbolic triangle 7305:Automedian triangle 6885:Hexicated 8-simplex 6865:Truncated 8-simplex 6861:Rectified 8-simplex 6684:Hexicated 7-simplex 6664:Truncated 7-simplex 6660:Rectified 7-simplex 6619:6-simplex honeycomb 6490:Truncated 6-simplex 6486:Rectified 6-simplex 6445:5-simplex honeycomb 6331:Truncated 5-simplex 6327:Rectified 5-simplex 6282:regular 5-polytope 6277:5D with 4D surfaces 6172:Cuboctahedral prism 6118:Runcinated 120-cell 6093:Cantellated 24-cell 6063:Truncated tesseract 6059:Rectified tesseract 5519:Polyhedral compound 5501:Waterman polyhedron 5441:Szilassi polyhedron 5406:Rhombic icosahedron 5346:Hexagonal bifrustum 5331:Flexible polyhedron 5047:Spherical polyhedra 4888:Square gyrobicupola 4178:Triakis icosahedron 4153:Tetrakis hexahedron 4138:Triakis tetrahedron 4103:Tetrahemihexahedron 3777:Rhombicuboctahedron 3611:Trihexagonal tiling 3376:Isosceles trapezoid 3141:Equilateral polygon 3136:Equiangular polygon 1607:with infinite cells 1399:Sierpinski triangle 804:Surfaces in 3-space 712:including Orthoptic 384:Hyperelliptic curve 331:Curves of genus one 208:Lemniscate of Booth 134:Tschirnhausen cubic 94:Folium of Descartes 49:Quartic plane curve 7927:Cissoid of Diocles 7833: 7704:Glyphs and symbols 7542:Apollonian circles 7532: 7382:Triangular pyramid 7353:(fractal geometry) 7331:Isosceles triangle 6959:Heptellated 8-cube 6951:Pentellated 8-cube 6939:Cantellated 8-cube 6850:uniform 8-polytope 6742:Pentellated 7-cube 6730:Cantellated 7-cube 6649:uniform 7-polytope 6560:Pentellated 6-cube 6548:Cantellated 6-cube 6475:uniform 6-polytope 6381:Cantellated 5-cube 6316:uniform 5-polytope 6127:Truncated 600-cell 6123:Rectified 600-cell 6110:Truncated 120-cell 6106:Rectified 120-cell 6097:Runcinated 24-cell 6050:Cantellated 5-cell 6035:Uniform 4-polytope 5932:regular 4-polytope 5892:Hecatonicosachoron 5326:Császár polyhedron 4858:Pentagonal rotunda 4853:Pentagonal pyramid 4148:Triakis octahedron 4003:Octahemioctahedron 3868:Dodecadodecahedron 3858:Cubohemioctahedron 3709:Great dodecahedron 3656:Regular polyhedron 3650:Uniform polyhedron 3606:Snub square tiling 3581:Archimedean tiling 3261:Isosceles triangle 3110:2D with 1D surface 3086:Abstract polytopes 2974:120-cell honeycomb 2493:regular 4-polytope 2414:regular 4-polytope 2363:Hyperbolic tilings 2308:Great dodecahedron 1914:For example, in a 1787:convex 6-polytopes 1755:convex 5-polytopes 1550:Percolation theory 1545:Lichtenberg figure 1079:Algebraic surfaces 769:Tendril perversion 565:Logarithmic spiral 530:Archimedean spiral 233:Limaçon trisectrix 198:Kampyle of Eudoxus 99:Cissoid of Diocles 8119:www.mathcurve.com 8113:Ferreol, Robert. 8047: 8046: 8023:Bullet-Nose Curve 7869:Cubic Plane Curve 7814:Reuleaux triangle 7547:Apollonian gasket 7387:Triangular tiling 7341:Reuleaux triangle 7073:8-cubic honeycomb 6947:Stericated 8-cube 6943:Runcinated 8-cube 6812:7-cubic honeycomb 6738:Stericated 7-cube 6734:Runcinated 7-cube 6614:6-cubic honeycomb 6556:Stericated 6-cube 6552:Runcinated 6-cube 6440:5-cubic honeycomb 6389:Stericated 5-cube 6385:Runcinated 5-cube 6251:16-cell honeycomb 6231:24-cell honeycomb 6155:Tetrahedral prism 6089:Truncated 24-cell 6085:Rectified 24-cell 6080:Truncated 16-cell 6076:Rectified 16-cell 6054:Runcinated 5-cell 5296:Apeirogonal prism 4908:Triangular cupola 4823:Pentagonal cupola 4476:Tetrahemihexacron 3817:Snub dodecahedron 3792:Icosidodecahedron 3752:Archimedean solid 3738:Hemi-dodecahedron 3699:Great icosahedron 3644:Uniform polyhedra 3591:Triangular tiling 3281:30-60-90 triangle 3271:Rational triangle 3092:Abstract polytope 2895:24-cell honeycomb 2890:16-cell honeycomb 2871: 2870: 2374:Hyperbolic tiling 2369:Lobachevski plane 2342:Triangular tiling 2331:Euclidean tilings 2318:Great icosahedron 1845:Polytope elements 1839: 1838: 1561:Regular polytopes 1508: 1507: 1500: 1389:Sierpinski carpet 1379:Rössler attractor 1163:Apollonian gasket 1041:(a ruled surface) 783:Seiffert's spiral 656:Reuleaux triangle 555:Hyperbolic spiral 426:Sinusoidal spiral 315:Poinsot's spirals 173:Bullet-nose curve 44:Cubic plane curve 8264: 8241: 8240: 8229: 8223: 8222: 8210: 8204: 8203: 8201: 8199: 8185: 8179: 8178: 8173:. Archived from 8167: 8161: 8160: 8148: 8142: 8141: 8129: 8123: 8122: 8110: 8104: 8103: 8098:. Archived from 8092: 8086: 8085: 8080:. Archived from 8074: 8068: 8067: 8060: 7955:Serpentine Curve 7854:Algebraic Curves 7836: 7834:Table of Shapes 7761:Parametric curve 7665:Robbins pentagon 7572:Circular segment 7377:Triangular prism 7227:Uniform polytope 7199:Regular polytope 6955:Hexicated 8-cube 6935:Truncated 8-cube 6931:Rectified 8-cube 6746:Hexicated 7-cube 6726:Truncated 7-cube 6718:Rectified 7-cube 6639:Seven dimensions 6544:Truncated 6-cube 6536:Rectified 6-cube 6377:Truncated 5-cube 6369:Rectified 5-cube 6256:5-cell honeycomb 6184:Snub cubic prism 6046:Truncated 5-cell 6042:Rectified 5-cell 5907:Icositetrachoron 5431:Square bifrustum 5356:Hill tetrahedron 4878:Sphenomegacorona 4573:Disphenocingulum 4391:Octahemioctacron 4381:Hexahemioctacron 4008:Rhombicosahedron 3743:Hemi-icosahedron 3596:Hexagonal tiling 3390:Regular pentagon 3298:Scalene triangle 2947:8-cube honeycomb 2942:7-cube honeycomb 2937:6-cube honeycomb 2932:5-cube honeycomb 2733: 2732: 2347:Hexagonal tiling 1720:convex polychora 1572: 1503: 1496: 1492: 1489: 1483: 1457: 1450: 1394:Sierpiński curve 1311:Lyapunov fractal 1306:Lorenz attractor 1193:Circle inversion 1188:Cantor tesseract 1173:Blancmange curve 1127:Whitney umbrella 889:Minimal surfaces 821:Quadric surfaces 810:List of surfaces 570:Nielsen's spiral 550:Galileo's spiral 404:Macbeath surface 119:Serpentine curve 31:Algebraic curves 8272: 8271: 8267: 8266: 8265: 8263: 8262: 8261: 8257:Lists of shapes 8247: 8246: 8245: 8244: 8231: 8230: 8226: 8212: 8211: 8207: 8197: 8195: 8187: 8186: 8182: 8169: 8168: 8164: 8150: 8149: 8145: 8131: 8130: 8126: 8112: 8111: 8107: 8094: 8093: 8089: 8076: 8075: 8071: 8062: 8061: 8057: 8052: 8030:Cruciform Curve 7995:Ampersand Curve 7983:Witch of Agnesi 7941:Right Strophoid 7883:Rational Curves 7828: 7823: 7819:Ribaucour curve 7711:Borromean rings 7706: 7701: 7567:Circular sector 7557:Borromean rings 7522: 7398: 7391: 7336:Kepler triangle 7320:Golden triangle 7295: 7269: 7257: 7245: 7195: 7161: 7152: 7145: 7111: 7109:Nine dimensions 7102: 7094: 7086: 7069: 7060: 7052: 7044: 7036: 7028: 7020: 7012: 7004: 6996: 6842: 6840:Eight dimension 6833: 6825: 6808: 6799: 6791: 6783: 6641: 6632: 6610: 6601: 6593: 6463: 6436: 6279: 6222: 6145:Grand antiprism 5883: 5515: 5510: 5446:Tetradecahedron 5391:Polytetrahedron 5291: 5223: 5084:Cubic honeycomb 5072: 5055: 5049: 4962: 4957: 4863:Snub disphenoid 4683:Gyrobifastigium 4563:Bilunabirotunda 4493: 4487: 4482: 4129: 4124: 3733:Hemi-octahedron 3652: 3646: 3567: 3562: 3436:Regular decagon 3419:Regular octagon 3402:Lemoine hexagon 3291:Kepler triangle 3266:Obtuse triangle 3209:Star of Lakshmi 3146:Regular polygon 3121:Concave polygon 3112: 3088: 3059: 3027: 2960: 2922:Cubic honeycomb 2903: 2876: 2714: 2627: 2570: 2562:Cubic honeycomb 2553: 2488: 2466: 2409: 2382: 2365: 2333: 2328: 2294: 2272: 2221: 2209: 2197: 2160: 2143: 2135:Regular polygon 2015:Regular polygon 2011: 1972: 1964:Schläfli symbol 1956: 1944: 1932: 1847: 1685:Platonic solids 1613: 1608: 1606: 1601: 1599: 1594: 1592: 1587: 1585: 1563: 1540:Brownian motion 1504: 1493: 1487: 1484: 1469: 1448: 1446:Random fractals 1443: 1369:Pythagoras tree 1364:Pinwheel tiling 1349:Pascal triangle 1321:Mandelbrot tree 1158: 1152: 1135: 1082: 1063: 1012:Oblate spheroid 998: 962: 911:Enneper surface 892: 812: 806: 798:Viviani's curve 755: 750: 669: 661:Bézier triangle 644:Polygonal curve 603: 545:Fermat's spiral 458:Butterfly curve 453:Brachistochrone 444: 436:Hurwitz surface 412: 374:Butterfly curve 370: 333: 310:Lissajous curve 286: 261: 249: 244: 240:Trifolium curve 178:Cruciform curve 153:Ampersand curve 148: 143: 139:Witch of Agnesi 109:Right strophoid 89: 67: 62: 60:Rational curves 40: 34: 12: 11: 5: 8270: 8268: 8260: 8259: 8249: 8248: 8243: 8242: 8224: 8205: 8180: 8162: 8143: 8124: 8105: 8087: 8069: 8054: 8053: 8051: 8048: 8045: 8044: 8041: 8040: 8037: 8036: 8033: 8032: 8026: 8025: 8019: 8018: 8012: 8011: 8005: 8004: 7998: 7997: 7992: 7986: 7985: 7979: 7978: 7972: 7971: 7965: 7964: 7958: 7957: 7951: 7950: 7944: 7943: 7937: 7936: 7930: 7929: 7923: 7922: 7917: 7911: 7910: 7908:Unit Hyperbola 7904: 7903: 7897: 7896: 7890: 7885: 7879: 7878: 7872: 7871: 7866: 7861: 7856: 7850: 7849: 7846: 7843: 7840: 7827: 7824: 7822: 7821: 7816: 7811: 7806: 7805: 7804: 7803: 7802: 7797: 7792: 7791: 7790: 7789: 7788: 7776:Hermite spline 7768: 7758: 7753: 7748: 7743: 7738: 7733: 7728: 7723: 7718: 7713: 7707: 7705: 7702: 7700: 7699: 7698: 7697: 7687: 7682: 7677: 7672: 7667: 7662: 7657: 7652: 7647: 7646: 7645: 7644: 7643: 7638: 7623: 7618: 7613: 7612: 7611: 7610: 7609: 7604: 7599: 7584: 7579: 7574: 7569: 7564: 7559: 7554: 7549: 7544: 7539: 7533: 7521: 7518: 7517: 7516: 7511: 7506: 7501: 7499:Oppan's gyroid 7496: 7491: 7486: 7485: 7484: 7479: 7474: 7469: 7464: 7454: 7449: 7444: 7439: 7434: 7429: 7424: 7419: 7414: 7409: 7404: 7397: 7395:Hyperplexicons 7392: 7390: 7389: 7384: 7379: 7374: 7369: 7364: 7359: 7354: 7348: 7346:Right triangle 7343: 7338: 7333: 7328: 7322: 7317: 7312: 7307: 7302: 7296: 7294: 7291: 7290: 7289: 7284: 7278: 7277: 7273: 7272: 7267: 7260: 7252: 7248: 7240: 7236: 7230: 7229: 7223: 7222: 7220:Cross-polytope 7217: 7212: 7206: 7205: 7194: 7191: 7190: 7189: 7184: 7179: 7174: 7168: 7167: 7160: 7159:Ten dimensions 7157: 7156: 7155: 7150: 7144: 7141: 7140: 7139: 7134: 7129: 7124: 7118: 7117: 7110: 7107: 7106: 7105: 7100: 7092: 7084: 7080: 7075: 7068: 7065: 7064: 7063: 7058: 7050: 7042: 7034: 7026: 7018: 7010: 7002: 6994: 6990: 6961: 6924: 6891: 6853: 6852: 6841: 6838: 6837: 6836: 6831: 6823: 6819: 6814: 6807: 6804: 6803: 6802: 6797: 6789: 6781: 6777: 6748: 6711: 6686: 6652: 6651: 6640: 6637: 6636: 6635: 6630: 6626: 6621: 6616: 6609: 6606: 6605: 6604: 6599: 6591: 6587: 6562: 6529: 6508: 6478: 6477: 6462: 6461:Six dimensions 6459: 6458: 6457: 6452: 6447: 6442: 6435: 6432: 6431: 6430: 6419: 6413: 6412: 6391: 6362: 6345: 6319: 6318: 6304: 6303: 6302: 6301: 6297:5-dimensional 6295: 6291:5-dimensional 6289: 6287:cross-polytope 6285:5-dimensional 6278: 6275: 6274: 6273: 6268: 6263: 6258: 6253: 6248: 6243: 6238: 6233: 6228: 6221: 6218: 6217: 6216: 6211: 6186: 6161: 6152: 6147: 6141: 6140: 6134: 6133: 6120: 6103: 6082: 6073: 6056: 6038: 6037: 6031: 6030: 6024:Grand 600-cell 6004:Grand 120-cell 6000:Great 120-cell 5988: 5987: 5980: 5979: 5969: 5968: 5962: 5961: 5935: 5934: 5927: 5926: 5921: 5920: 5919: 5914: 5909: 5904: 5902:Hexadecachoron 5899: 5897:Hexacosichoron 5894: 5882: 5881: 5876: 5871: 5866: 5861: 5856: 5851: 5846: 5841: 5836: 5831: 5826: 5821: 5816: 5811: 5806: 5801: 5796: 5791: 5786: 5781: 5776: 5771: 5766: 5761: 5756: 5751: 5746: 5741: 5736: 5731: 5726: 5721: 5716: 5711: 5706: 5701: 5698: 5693: 5688: 5683: 5678: 5673: 5668: 5663: 5658: 5653: 5648: 5643: 5638: 5633: 5628: 5623: 5618: 5613: 5608: 5603: 5598: 5593: 5588: 5583: 5578: 5573: 5568: 5563: 5558: 5553: 5548: 5543: 5538: 5533: 5527: 5526: 5525: 5514: 5511: 5509: 5508: 5503: 5498: 5493: 5488: 5483: 5478: 5473: 5468: 5463: 5458: 5453: 5448: 5443: 5438: 5433: 5428: 5423: 5418: 5413: 5408: 5403: 5398: 5393: 5388: 5383: 5381:Parallelepiped 5378: 5373: 5368: 5363: 5358: 5353: 5348: 5343: 5338: 5333: 5328: 5323: 5318: 5313: 5308: 5303: 5298: 5292: 5290: 5287: 5286: 5285: 5280: 5275: 5270: 5264: 5263: 5257: 5256: 5251: 5245: 5244: 5240: 5239: 5234: 5228: 5227: 5222: 5221: 5216: 5211: 5206: 5201: 5196: 5191: 5186: 5181: 5176: 5171: 5166: 5161: 5156: 5151: 5146: 5141: 5136: 5131: 5126: 5121: 5116: 5111: 5106: 5101: 5096: 5091: 5086: 5080: 5079: 5078: 5071: 5068: 5067: 5066: 5061: 5051:Main article: 5048: 5045: 5044: 5043: 5038: 5033: 5028: 5023: 5018: 5013: 5008: 5003: 4998: 4993: 4988: 4983: 4981:Parallelepiped 4978: 4973: 4968: 4961: 4958: 4956: 4955: 4950: 4945: 4940: 4935: 4930: 4925: 4920: 4915: 4910: 4905: 4900: 4898:Square pyramid 4895: 4890: 4885: 4880: 4875: 4870: 4865: 4860: 4855: 4850: 4845: 4840: 4835: 4830: 4825: 4820: 4815: 4810: 4805: 4800: 4795: 4790: 4785: 4780: 4775: 4770: 4765: 4760: 4755: 4750: 4745: 4740: 4735: 4730: 4725: 4720: 4715: 4710: 4705: 4700: 4695: 4690: 4685: 4680: 4675: 4670: 4665: 4660: 4655: 4650: 4645: 4640: 4635: 4630: 4625: 4620: 4615: 4610: 4605: 4600: 4595: 4590: 4585: 4580: 4575: 4570: 4565: 4560: 4555: 4550: 4545: 4540: 4535: 4530: 4525: 4520: 4515: 4510: 4505: 4500: 4494: 4489:Main article: 4486: 4485:Johnson solids 4483: 4481: 4480: 4479: 4478: 4473: 4468: 4463: 4458: 4453: 4448: 4443: 4438: 4433: 4428: 4423: 4418: 4413: 4408: 4403: 4398: 4396:Rhombicosacron 4393: 4388: 4386:Hemipolyhedron 4383: 4378: 4373: 4368: 4363: 4358: 4353: 4348: 4343: 4338: 4333: 4328: 4323: 4318: 4313: 4308: 4303: 4298: 4293: 4288: 4283: 4278: 4273: 4268: 4263: 4258: 4253: 4248: 4243: 4238: 4233: 4228: 4223: 4218: 4213: 4204: 4203: 4202: 4201: 4200: 4195: 4190: 4185: 4180: 4175: 4170: 4165: 4160: 4155: 4150: 4145: 4140: 4128: 4125: 4123: 4122: 4121: 4120: 4115: 4110: 4105: 4100: 4095: 4090: 4085: 4080: 4075: 4070: 4065: 4060: 4055: 4050: 4045: 4040: 4035: 4030: 4025: 4020: 4015: 4010: 4005: 4000: 3995: 3990: 3985: 3980: 3975: 3970: 3965: 3960: 3955: 3950: 3945: 3940: 3935: 3930: 3925: 3920: 3915: 3910: 3905: 3900: 3895: 3890: 3885: 3880: 3875: 3870: 3865: 3860: 3855: 3847: 3846: 3845: 3839: 3838: 3837: 3836: 3831: 3821: 3820: 3819: 3814: 3809: 3804: 3799: 3794: 3789: 3784: 3779: 3774: 3769: 3767:Truncated cube 3764: 3759: 3749: 3748: 3747: 3746: 3745: 3740: 3735: 3730: 3718: 3717: 3716: 3711: 3706: 3701: 3690: 3689: 3688: 3683: 3678: 3673: 3668: 3661:Platonic solid 3648:Main article: 3645: 3642: 3641: 3640: 3639: 3638: 3633: 3628: 3623: 3618: 3613: 3608: 3603: 3598: 3593: 3588: 3578: 3573: 3566: 3563: 3561: 3560: 3555: 3550: 3545: 3540: 3535: 3530: 3525: 3520: 3515: 3510: 3505: 3500: 3495: 3490: 3485: 3480: 3475: 3470: 3465: 3460: 3455: 3453:Triskaidecagon 3450: 3445: 3440: 3439: 3438: 3428: 3423: 3422: 3421: 3411: 3406: 3405: 3404: 3394: 3393: 3392: 3382: 3381: 3380: 3379: 3378: 3367: 3362: 3361: 3360: 3359: 3358: 3347: 3342: 3341: 3340: 3324: 3319: 3318: 3317: 3302: 3301: 3300: 3295: 3294: 3293: 3288: 3283: 3276:Right triangle 3273: 3268: 3263: 3258: 3253: 3251:Acute triangle 3243: 3237: 3230: 3226: 3225: 3224: 3223: 3218: 3213: 3212: 3211: 3201: 3196: 3195: 3194: 3179: 3173: 3168: 3163: 3158: 3153: 3148: 3143: 3138: 3133: 3131:Cyclic polygon 3128: 3123: 3118: 3116:Convex polygon 3111: 3108: 3107: 3106: 3105: 3104: 3099: 3087: 3084: 3083: 3082: 3081: 3080: 3075: 3070: 3058: 3055: 3054: 3053: 3048: 3043: 3038: 3033: 3026: 3023: 3022: 3021: 3016: 3011: 3006: 3001: 2996: 2991: 2986: 2981: 2976: 2971: 2966: 2959: 2956: 2955: 2954: 2949: 2944: 2939: 2934: 2929: 2924: 2919: 2914: 2909: 2902: 2899: 2898: 2897: 2892: 2887: 2882: 2875: 2872: 2869: 2868: 2863: 2858: 2852: 2851: 2846: 2841: 2835: 2834: 2829: 2824: 2818: 2817: 2812: 2807: 2801: 2800: 2795: 2790: 2784: 2783: 2778: 2773: 2767: 2766: 2761: 2756: 2750: 2749: 2747:Cross-polytope 2744: 2739: 2731: 2730: 2725: 2720: 2713: 2710: 2709: 2708: 2703: 2698: 2693: 2688: 2683: 2678: 2673: 2668: 2663: 2658: 2653: 2648: 2643: 2638: 2633: 2626: 2623: 2622: 2621: 2616: 2611: 2606: 2601: 2596: 2591: 2586: 2581: 2576: 2569: 2566: 2565: 2564: 2559: 2552: 2549: 2548: 2547: 2546: 2545: 2540: 2538:Grand 600-cell 2535: 2530: 2525: 2520: 2515: 2513:Grand 120-cell 2510: 2508:Great 120-cell 2505: 2500: 2487: 2484: 2483: 2482: 2477: 2472: 2465: 2462: 2461: 2460: 2459: 2458: 2453: 2448: 2443: 2441:Cross-polytope 2439:, the 4-space 2434: 2430:, the 4-space 2425: 2421:, the 4-space 2408: 2405: 2404: 2403: 2398: 2393: 2388: 2381: 2378: 2377: 2376: 2371: 2364: 2361: 2360: 2359: 2354: 2349: 2344: 2339: 2332: 2329: 2327: 2324: 2323: 2322: 2321: 2320: 2315: 2310: 2305: 2293: 2290: 2289: 2288: 2283: 2278: 2271: 2268: 2267: 2266: 2265: 2264: 2259: 2254: 2252:Cross-polytope 2250:, the 3-space 2245: 2241:, the 3-space 2236: 2232:, the 3-space 2225:Platonic solid 2220: 2217: 2216: 2215: 2208: 2205: 2204: 2203: 2196: 2193: 2192: 2191: 2186: 2181: 2176: 2171: 2166: 2159: 2156: 2155: 2154: 2149: 2142: 2139: 2138: 2137: 2132: 2127: 2122: 2117: 2112: 2107: 2102: 2097: 2092: 2087: 2082: 2077: 2072: 2067: 2062: 2057: 2052: 2047: 2042: 2037: 2035:Cross-polytope 2032: 2027: 2022: 2017: 2010: 2007: 2006: 2005: 2000: 1995: 1993:Convex polygon 1989: 1988: 1986:Cyclic polygon 1983: 1978: 1971: 1968: 1955: 1952: 1951: 1950: 1943: 1942:Zero dimension 1940: 1931: 1928: 1927: 1926: 1912: 1911: 1901: 1891: 1881: 1875: 1869: 1863: 1857: 1846: 1843: 1837: 1836: 1833: 1830: 1827: 1824: 1821: 1818: 1815: 1811: 1810: 1807: 1804: 1801: 1798: 1792: 1789: 1783: 1779: 1778: 1775: 1772: 1769: 1766: 1760: 1757: 1751: 1747: 1746: 1743: 1740: 1737: 1734: 1728: 1722: 1716: 1712: 1711: 1708: 1705: 1702: 1699: 1693: 1687: 1681: 1677: 1676: 1673: 1670: 1667: 1664: 1661: 1655: 1649: 1645: 1644: 1641: 1638: 1635: 1632: 1629: 1626: 1620: 1616: 1615: 1610: 1603: 1602:tessellations 1596: 1595:tessellations 1589: 1588:tessellations 1582: 1579: 1576: 1562: 1559: 1558: 1557: 1552: 1547: 1542: 1537: 1532: 1527: 1521: 1518:von Koch curve 1515: 1512:von Koch curve 1506: 1505: 1474:) Please help 1460: 1458: 1447: 1444: 1442: 1441: 1436: 1431: 1429:von Koch curve 1426: 1424:Vicsek fractal 1421: 1416: 1411: 1406: 1401: 1396: 1391: 1386: 1381: 1376: 1371: 1366: 1361: 1359:Penrose tiling 1356: 1351: 1346: 1341: 1336: 1333: 1328: 1323: 1318: 1316:Mandelbrot set 1313: 1308: 1303: 1298: 1293: 1288: 1286:Koch snowflake 1283: 1278: 1273: 1271:Jerusalem cube 1268: 1263: 1257: 1252: 1247: 1242: 1237: 1232: 1227: 1222: 1217: 1214:Fibonacci word 1211: 1206: 1201: 1196: 1190: 1185: 1180: 1175: 1170: 1165: 1159: 1154:Main article: 1151: 1148: 1147: 1146: 1134: 1131: 1130: 1129: 1124: 1118: 1113: 1107: 1102: 1097: 1081: 1076: 1075: 1074: 1069: 1067:Dini's surface 1062: 1059: 1058: 1057: 1052: 1047: 1042: 1036: 1031: 1026: 1021: 1016: 1015: 1014: 1004: 997: 992: 991: 990: 989: 988: 983: 978: 968: 961: 958:Non-orientable 955: 954: 953: 948: 943: 941:Scherk surface 938: 933: 928: 923: 918: 913: 908: 903: 898: 891: 886: 885: 884: 879: 874: 869: 864: 863: 862: 857: 852: 851: 850: 849: 848: 833: 828: 818: 808:Main article: 805: 802: 801: 800: 795: 790: 785: 780: 779: 778: 772: 761: 754: 751: 749: 748: 743: 738: 733: 731:Parallel curve 728: 723: 718: 713: 707: 702: 697: 692: 687: 682: 677: 670: 668: 665: 664: 663: 658: 653: 652: 651: 641: 636: 631: 626: 625: 624: 619: 609: 602: 596: 595: 594: 589: 584: 579: 578: 577: 572: 567: 562: 557: 552: 547: 542: 537: 532: 522: 517: 512: 507: 506: 505: 500: 495: 485: 480: 475: 470: 465: 460: 455: 450: 448:Bowditch curve 443: 440: 439: 438: 433: 428: 423: 418: 411: 408: 407: 406: 401: 396: 391: 386: 381: 376: 369: 366: 365: 364: 359: 357:Elliptic curve 354: 349: 344: 339: 337:Bicuspid curve 332: 329: 328: 327: 322: 317: 312: 307: 302: 297: 292: 285: 282: 281: 280: 275: 270: 267: 260: 257: 256: 255: 248: 245: 243: 242: 237: 236: 235: 230: 220: 215: 210: 205: 200: 195: 190: 185: 180: 175: 170: 165: 160: 155: 149: 147: 144: 142: 141: 136: 131: 126: 121: 116: 111: 106: 101: 96: 90: 88: 85: 84: 83: 81:Unit hyperbola 78: 73: 71:Conic sections 66: 63: 61: 58: 57: 56: 51: 46: 38:List of curves 36:Main article: 33: 28: 18:mathematically 13: 10: 9: 6: 4: 3: 2: 8269: 8258: 8255: 8254: 8252: 8238: 8234: 8228: 8225: 8220: 8216: 8209: 8206: 8194: 8190: 8184: 8181: 8176: 8172: 8166: 8163: 8158: 8154: 8147: 8144: 8139: 8135: 8128: 8125: 8120: 8116: 8109: 8106: 8101: 8097: 8091: 8088: 8083: 8079: 8073: 8070: 8065: 8059: 8056: 8049: 8043: 8042: 8039: 8038: 8035: 8034: 8031: 8028: 8027: 8024: 8021: 8020: 8017: 8014: 8013: 8010: 8007: 8006: 8003: 8000: 7999: 7996: 7993: 7991: 7987: 7984: 7981: 7980: 7977: 7974: 7973: 7970: 7967: 7966: 7963: 7962:Trident Curve 7960: 7959: 7956: 7953: 7952: 7949: 7946: 7945: 7942: 7939: 7938: 7935: 7932: 7931: 7928: 7925: 7924: 7921: 7918: 7916: 7912: 7909: 7906: 7905: 7902: 7899: 7898: 7894: 7893:Conic Section 7891: 7889: 7884: 7880: 7877: 7874: 7873: 7870: 7867: 7865: 7860: 7855: 7851: 7847: 7844: 7841: 7838: 7837: 7831: 7825: 7820: 7817: 7815: 7812: 7810: 7807: 7801: 7798: 7796: 7793: 7787: 7784: 7783: 7782: 7779: 7778: 7777: 7774: 7773: 7772: 7769: 7767: 7764: 7763: 7762: 7759: 7757: 7754: 7752: 7749: 7747: 7744: 7742: 7739: 7737: 7734: 7732: 7729: 7727: 7724: 7722: 7721:Vesica piscis 7719: 7717: 7714: 7712: 7709: 7708: 7703: 7696: 7693: 7692: 7691: 7688: 7686: 7685:Steiner chain 7683: 7681: 7678: 7676: 7673: 7671: 7668: 7666: 7663: 7661: 7658: 7656: 7653: 7651: 7648: 7642: 7641:Deltoid curve 7639: 7637: 7634: 7633: 7632: 7629: 7628: 7627: 7624: 7622: 7619: 7617: 7614: 7608: 7605: 7603: 7600: 7598: 7595: 7594: 7593: 7590: 7589: 7588: 7585: 7583: 7580: 7578: 7575: 7573: 7570: 7568: 7565: 7563: 7560: 7558: 7555: 7553: 7550: 7548: 7545: 7543: 7540: 7538: 7535: 7534: 7530: 7526: 7519: 7515: 7514:Hyperplexicon 7512: 7510: 7507: 7505: 7502: 7500: 7497: 7495: 7492: 7490: 7487: 7483: 7480: 7478: 7475: 7473: 7470: 7468: 7465: 7463: 7460: 7459: 7458: 7455: 7453: 7450: 7448: 7445: 7443: 7440: 7438: 7435: 7433: 7430: 7428: 7425: 7423: 7420: 7418: 7415: 7413: 7410: 7408: 7407:Warith's void 7405: 7403: 7400: 7399: 7396: 7393: 7388: 7385: 7383: 7380: 7378: 7375: 7373: 7370: 7368: 7367:Thomson cubic 7365: 7363: 7360: 7358: 7355: 7352: 7349: 7347: 7344: 7342: 7339: 7337: 7334: 7332: 7329: 7326: 7323: 7321: 7318: 7316: 7313: 7311: 7308: 7306: 7303: 7301: 7298: 7297: 7292: 7288: 7285: 7283: 7280: 7279: 7275: 7274: 7271: 7266: 7261: 7259: 7255: 7249: 7247: 7243: 7237: 7235: 7234:Demihypercube 7232: 7231: 7228: 7225: 7224: 7221: 7218: 7216: 7213: 7211: 7208: 7207: 7204: 7200: 7197: 7196: 7192: 7188: 7185: 7183: 7180: 7178: 7175: 7173: 7170: 7169: 7166: 7163: 7162: 7158: 7154: 7147: 7146: 7142: 7138: 7135: 7133: 7130: 7128: 7125: 7123: 7120: 7119: 7116: 7113: 7112: 7108: 7104: 7096: 7088: 7081: 7079: 7076: 7074: 7071: 7070: 7066: 7062: 7054: 7049:Cantellated 2 7046: 7041:Cantellated 4 7038: 7030: 7022: 7014: 7006: 6998: 6991: 6989: 6985: 6981: 6977: 6973: 6969: 6965: 6962: 6960: 6956: 6952: 6948: 6944: 6940: 6936: 6932: 6928: 6925: 6923: 6919: 6915: 6911: 6907: 6903: 6899: 6895: 6892: 6890: 6886: 6882: 6878: 6874: 6870: 6866: 6862: 6858: 6855: 6854: 6851: 6847: 6844: 6843: 6839: 6835: 6827: 6820: 6818: 6815: 6813: 6810: 6809: 6805: 6801: 6793: 6785: 6778: 6776: 6772: 6768: 6764: 6760: 6756: 6752: 6749: 6747: 6743: 6739: 6735: 6731: 6727: 6723: 6719: 6715: 6712: 6710: 6706: 6702: 6698: 6694: 6690: 6687: 6685: 6681: 6677: 6673: 6669: 6665: 6661: 6657: 6654: 6653: 6650: 6646: 6643: 6642: 6638: 6634: 6627: 6625: 6622: 6620: 6617: 6615: 6612: 6611: 6607: 6603: 6595: 6588: 6586: 6582: 6578: 6574: 6570: 6566: 6563: 6561: 6557: 6553: 6549: 6545: 6541: 6537: 6533: 6530: 6528: 6524: 6520: 6516: 6512: 6509: 6507: 6503: 6499: 6495: 6491: 6487: 6483: 6480: 6479: 6476: 6472: 6468: 6465: 6464: 6460: 6456: 6453: 6451: 6448: 6446: 6443: 6441: 6438: 6437: 6433: 6428: 6424: 6420: 6418: 6415: 6414: 6411: 6407: 6403: 6399: 6395: 6392: 6390: 6386: 6382: 6378: 6374: 6370: 6366: 6363: 6361: 6357: 6353: 6349: 6346: 6344: 6340: 6336: 6332: 6328: 6324: 6321: 6320: 6317: 6313: 6309: 6306: 6305: 6300: 6296: 6294: 6290: 6288: 6284: 6283: 6281: 6280: 6276: 6272: 6269: 6267: 6264: 6262: 6259: 6257: 6254: 6252: 6249: 6247: 6244: 6242: 6239: 6237: 6234: 6232: 6229: 6227: 6224: 6223: 6219: 6215: 6212: 6210: 6206: 6202: 6198: 6194: 6190: 6187: 6185: 6181: 6177: 6173: 6169: 6165: 6162: 6160: 6156: 6153: 6151: 6148: 6146: 6143: 6142: 6139: 6136: 6135: 6132: 6128: 6124: 6121: 6119: 6115: 6111: 6107: 6104: 6102: 6098: 6094: 6090: 6086: 6083: 6081: 6077: 6074: 6072: 6068: 6064: 6060: 6057: 6055: 6051: 6047: 6043: 6040: 6039: 6036: 6033: 6032: 6029: 6025: 6021: 6017: 6013: 6009: 6005: 6001: 5997: 5993: 5990: 5989: 5985: 5982: 5981: 5978: 5974: 5971: 5970: 5967: 5964: 5963: 5960: 5956: 5952: 5948: 5944: 5940: 5937: 5936: 5933: 5929: 5928: 5925: 5922: 5918: 5915: 5913: 5910: 5908: 5905: 5903: 5900: 5898: 5895: 5893: 5890: 5889: 5888: 5885: 5884: 5880: 5877: 5875: 5872: 5870: 5867: 5865: 5862: 5860: 5857: 5855: 5852: 5850: 5847: 5845: 5842: 5840: 5837: 5835: 5832: 5830: 5827: 5825: 5822: 5820: 5817: 5815: 5812: 5810: 5807: 5805: 5802: 5800: 5797: 5795: 5792: 5790: 5787: 5785: 5782: 5780: 5777: 5775: 5772: 5770: 5767: 5765: 5762: 5760: 5757: 5755: 5752: 5750: 5747: 5745: 5742: 5740: 5737: 5735: 5732: 5730: 5727: 5725: 5722: 5720: 5717: 5715: 5712: 5710: 5707: 5705: 5702: 5699: 5697: 5694: 5692: 5689: 5687: 5684: 5682: 5679: 5677: 5674: 5672: 5669: 5667: 5664: 5662: 5659: 5657: 5654: 5652: 5649: 5647: 5644: 5642: 5639: 5637: 5634: 5632: 5629: 5627: 5624: 5622: 5619: 5617: 5614: 5612: 5609: 5607: 5604: 5602: 5599: 5597: 5594: 5592: 5589: 5587: 5584: 5582: 5579: 5577: 5574: 5572: 5569: 5567: 5564: 5562: 5559: 5557: 5554: 5552: 5549: 5547: 5544: 5542: 5539: 5537: 5534: 5532: 5529: 5528: 5524: 5520: 5517: 5516: 5512: 5507: 5504: 5502: 5499: 5497: 5494: 5492: 5489: 5487: 5484: 5482: 5479: 5477: 5474: 5472: 5469: 5467: 5464: 5462: 5459: 5457: 5454: 5452: 5449: 5447: 5444: 5442: 5439: 5437: 5434: 5432: 5429: 5427: 5424: 5422: 5421:Scalenohedron 5419: 5417: 5414: 5412: 5409: 5407: 5404: 5402: 5399: 5397: 5394: 5392: 5389: 5387: 5384: 5382: 5379: 5377: 5374: 5372: 5369: 5367: 5364: 5362: 5359: 5357: 5354: 5352: 5349: 5347: 5344: 5342: 5339: 5337: 5334: 5332: 5329: 5327: 5324: 5322: 5319: 5317: 5314: 5312: 5309: 5307: 5304: 5302: 5299: 5297: 5294: 5293: 5288: 5284: 5281: 5279: 5276: 5274: 5271: 5269: 5266: 5265: 5262: 5259: 5258: 5255: 5252: 5250: 5247: 5246: 5242: 5241: 5238: 5235: 5233: 5230: 5229: 5225: 5224: 5220: 5217: 5215: 5212: 5210: 5207: 5205: 5202: 5200: 5197: 5195: 5192: 5190: 5187: 5185: 5182: 5180: 5177: 5175: 5172: 5170: 5167: 5165: 5162: 5160: 5157: 5155: 5152: 5150: 5147: 5145: 5142: 5140: 5137: 5135: 5132: 5130: 5127: 5125: 5122: 5120: 5117: 5115: 5112: 5110: 5107: 5105: 5102: 5100: 5097: 5095: 5092: 5090: 5087: 5085: 5082: 5081: 5077: 5074: 5073: 5069: 5065: 5062: 5060: 5057: 5056: 5054: 5046: 5042: 5039: 5037: 5034: 5032: 5029: 5027: 5024: 5022: 5019: 5017: 5014: 5012: 5009: 5007: 5004: 5002: 4999: 4997: 4996:Trapezohedron 4994: 4992: 4989: 4987: 4984: 4982: 4979: 4977: 4974: 4972: 4969: 4967: 4964: 4963: 4959: 4954: 4951: 4949: 4946: 4944: 4941: 4939: 4936: 4934: 4931: 4929: 4926: 4924: 4921: 4919: 4916: 4914: 4911: 4909: 4906: 4904: 4901: 4899: 4896: 4894: 4891: 4889: 4886: 4884: 4883:Square cupola 4881: 4879: 4876: 4874: 4871: 4869: 4866: 4864: 4861: 4859: 4856: 4854: 4851: 4849: 4846: 4844: 4841: 4839: 4836: 4834: 4831: 4829: 4826: 4824: 4821: 4819: 4816: 4814: 4811: 4809: 4806: 4804: 4801: 4799: 4796: 4794: 4791: 4789: 4786: 4784: 4781: 4779: 4776: 4774: 4771: 4769: 4766: 4764: 4761: 4759: 4756: 4754: 4751: 4749: 4746: 4744: 4741: 4739: 4736: 4734: 4731: 4729: 4726: 4724: 4721: 4719: 4716: 4714: 4711: 4709: 4706: 4704: 4701: 4699: 4696: 4694: 4691: 4689: 4686: 4684: 4681: 4679: 4676: 4674: 4671: 4669: 4666: 4664: 4661: 4659: 4656: 4654: 4651: 4649: 4646: 4644: 4641: 4639: 4636: 4634: 4631: 4629: 4626: 4624: 4621: 4619: 4616: 4614: 4611: 4609: 4606: 4604: 4601: 4599: 4596: 4594: 4591: 4589: 4586: 4584: 4581: 4579: 4576: 4574: 4571: 4569: 4566: 4564: 4561: 4559: 4556: 4554: 4551: 4549: 4546: 4544: 4541: 4539: 4536: 4534: 4531: 4529: 4526: 4524: 4521: 4519: 4516: 4514: 4511: 4509: 4506: 4504: 4501: 4499: 4496: 4495: 4492: 4491:Johnson solid 4484: 4477: 4474: 4472: 4469: 4467: 4464: 4462: 4459: 4457: 4454: 4452: 4449: 4447: 4444: 4442: 4439: 4437: 4434: 4432: 4429: 4427: 4424: 4422: 4419: 4417: 4414: 4412: 4409: 4407: 4404: 4402: 4399: 4397: 4394: 4392: 4389: 4387: 4384: 4382: 4379: 4377: 4374: 4372: 4369: 4367: 4364: 4362: 4359: 4357: 4354: 4352: 4349: 4347: 4344: 4342: 4339: 4337: 4334: 4332: 4329: 4327: 4324: 4322: 4319: 4317: 4314: 4312: 4309: 4307: 4304: 4302: 4299: 4297: 4294: 4292: 4289: 4287: 4284: 4282: 4279: 4277: 4274: 4272: 4269: 4267: 4264: 4262: 4259: 4257: 4254: 4252: 4249: 4247: 4244: 4242: 4239: 4237: 4234: 4232: 4229: 4227: 4224: 4222: 4219: 4217: 4214: 4212: 4209: 4208: 4206: 4205: 4199: 4196: 4194: 4191: 4189: 4186: 4184: 4181: 4179: 4176: 4174: 4171: 4169: 4166: 4164: 4161: 4159: 4156: 4154: 4151: 4149: 4146: 4144: 4141: 4139: 4136: 4135: 4134: 4133:Catalan solid 4131: 4130: 4126: 4119: 4116: 4114: 4111: 4109: 4106: 4104: 4101: 4099: 4096: 4094: 4091: 4089: 4086: 4084: 4081: 4079: 4076: 4074: 4071: 4069: 4066: 4064: 4061: 4059: 4056: 4054: 4051: 4049: 4046: 4044: 4041: 4039: 4036: 4034: 4031: 4029: 4026: 4024: 4021: 4019: 4016: 4014: 4011: 4009: 4006: 4004: 4001: 3999: 3996: 3994: 3991: 3989: 3986: 3984: 3981: 3979: 3976: 3974: 3971: 3969: 3966: 3964: 3961: 3959: 3956: 3954: 3951: 3949: 3946: 3944: 3941: 3939: 3936: 3934: 3931: 3929: 3926: 3924: 3921: 3919: 3916: 3914: 3911: 3909: 3906: 3904: 3901: 3899: 3896: 3894: 3891: 3889: 3886: 3884: 3881: 3879: 3876: 3874: 3871: 3869: 3866: 3864: 3861: 3859: 3856: 3854: 3851: 3850: 3849: 3848: 3844: 3841: 3840: 3835: 3832: 3830: 3827: 3826: 3825: 3822: 3818: 3815: 3813: 3810: 3808: 3805: 3803: 3800: 3798: 3795: 3793: 3790: 3788: 3785: 3783: 3780: 3778: 3775: 3773: 3770: 3768: 3765: 3763: 3762:Cuboctahedron 3760: 3758: 3755: 3754: 3753: 3750: 3744: 3741: 3739: 3736: 3734: 3731: 3729: 3726: 3725: 3723: 3719: 3715: 3712: 3710: 3707: 3705: 3702: 3700: 3697: 3696: 3694: 3691: 3687: 3684: 3682: 3679: 3677: 3674: 3672: 3669: 3667: 3664: 3663: 3662: 3659: 3658: 3657: 3654: 3653: 3651: 3643: 3637: 3634: 3632: 3629: 3627: 3624: 3622: 3619: 3617: 3614: 3612: 3609: 3607: 3604: 3602: 3599: 3597: 3594: 3592: 3589: 3587: 3586:Square tiling 3584: 3583: 3582: 3579: 3577: 3574: 3572: 3569: 3568: 3564: 3559: 3556: 3554: 3551: 3549: 3546: 3544: 3541: 3539: 3536: 3534: 3531: 3529: 3526: 3524: 3523:Enneacontagon 3521: 3519: 3516: 3514: 3513:Heptacontagon 3511: 3509: 3506: 3504: 3503:Pentacontagon 3501: 3499: 3498:Tetracontagon 3496: 3494: 3491: 3489: 3486: 3484: 3481: 3479: 3476: 3474: 3471: 3469: 3466: 3464: 3461: 3459: 3456: 3454: 3451: 3449: 3446: 3444: 3441: 3437: 3434: 3433: 3432: 3429: 3427: 3424: 3420: 3417: 3416: 3415: 3412: 3410: 3407: 3403: 3400: 3399: 3398: 3395: 3391: 3388: 3387: 3386: 3383: 3377: 3374: 3373: 3372:or trapezium 3371: 3368: 3366: 3363: 3356: 3353: 3352: 3351: 3348: 3346: 3343: 3339: 3336: 3335: 3333: 3330: 3329: 3328: 3327:Parallelogram 3325: 3323: 3320: 3316: 3313: 3312: 3311: 3308: 3307: 3306: 3305:Quadrilateral 3303: 3299: 3296: 3292: 3289: 3287: 3284: 3282: 3279: 3278: 3277: 3274: 3272: 3269: 3267: 3264: 3262: 3259: 3257: 3254: 3252: 3249: 3248: 3247: 3244: 3241: 3238: 3235: 3232: 3231: 3229: 3222: 3219: 3217: 3214: 3210: 3207: 3206: 3205: 3202: 3200: 3197: 3193: 3192:Star of David 3190: 3189: 3188: 3185: 3184: 3183: 3180: 3177: 3174: 3172: 3169: 3167: 3164: 3162: 3159: 3157: 3154: 3152: 3149: 3147: 3144: 3142: 3139: 3137: 3134: 3132: 3129: 3127: 3124: 3122: 3119: 3117: 3114: 3113: 3109: 3103: 3100: 3098: 3095: 3094: 3093: 3090: 3089: 3085: 3079: 3076: 3074: 3071: 3069: 3066: 3065: 3064: 3061: 3060: 3056: 3052: 3049: 3047: 3044: 3042: 3039: 3037: 3034: 3032: 3029: 3028: 3024: 3020: 3017: 3015: 3012: 3010: 3007: 3005: 3002: 3000: 2997: 2995: 2992: 2990: 2987: 2985: 2982: 2980: 2977: 2975: 2972: 2970: 2967: 2965: 2962: 2961: 2957: 2953: 2950: 2948: 2945: 2943: 2940: 2938: 2935: 2933: 2930: 2928: 2925: 2923: 2920: 2918: 2917:Square tiling 2915: 2913: 2910: 2908: 2905: 2904: 2900: 2896: 2893: 2891: 2888: 2886: 2883: 2881: 2878: 2877: 2873: 2867: 2864: 2862: 2859: 2857: 2854: 2853: 2850: 2847: 2845: 2842: 2840: 2837: 2836: 2833: 2830: 2828: 2825: 2823: 2820: 2819: 2816: 2813: 2811: 2808: 2806: 2803: 2802: 2799: 2796: 2794: 2791: 2789: 2786: 2785: 2782: 2779: 2777: 2774: 2772: 2769: 2768: 2765: 2762: 2760: 2757: 2755: 2752: 2751: 2748: 2745: 2743: 2740: 2738: 2735: 2734: 2729: 2726: 2724: 2721: 2719: 2716: 2715: 2711: 2707: 2704: 2702: 2699: 2697: 2694: 2692: 2689: 2687: 2684: 2682: 2679: 2677: 2674: 2672: 2669: 2667: 2664: 2662: 2659: 2657: 2654: 2652: 2649: 2647: 2644: 2642: 2639: 2637: 2634: 2632: 2629: 2628: 2624: 2620: 2617: 2615: 2612: 2610: 2607: 2605: 2602: 2600: 2597: 2595: 2592: 2590: 2587: 2585: 2582: 2580: 2577: 2575: 2572: 2571: 2567: 2563: 2560: 2558: 2555: 2554: 2550: 2544: 2541: 2539: 2536: 2534: 2531: 2529: 2526: 2524: 2521: 2519: 2516: 2514: 2511: 2509: 2506: 2504: 2501: 2499: 2496: 2495: 2494: 2490: 2489: 2485: 2481: 2478: 2476: 2473: 2471: 2468: 2467: 2463: 2457: 2454: 2452: 2449: 2447: 2444: 2442: 2438: 2435: 2433: 2429: 2426: 2424: 2420: 2417: 2416: 2415: 2411: 2410: 2406: 2402: 2399: 2397: 2394: 2392: 2389: 2387: 2384: 2383: 2379: 2375: 2372: 2370: 2367: 2366: 2362: 2358: 2355: 2353: 2350: 2348: 2345: 2343: 2340: 2338: 2337:Square tiling 2335: 2334: 2330: 2326:Tessellations 2325: 2319: 2316: 2314: 2311: 2309: 2306: 2304: 2301: 2300: 2299: 2296: 2295: 2291: 2287: 2284: 2282: 2279: 2277: 2274: 2273: 2269: 2263: 2260: 2258: 2255: 2253: 2249: 2246: 2244: 2240: 2237: 2235: 2231: 2228: 2227: 2226: 2223: 2222: 2218: 2214: 2211: 2210: 2206: 2202: 2199: 2198: 2194: 2190: 2187: 2185: 2182: 2180: 2177: 2175: 2172: 2170: 2167: 2165: 2162: 2161: 2157: 2153: 2150: 2148: 2145: 2144: 2140: 2136: 2133: 2131: 2128: 2126: 2123: 2121: 2118: 2116: 2113: 2111: 2108: 2106: 2103: 2101: 2098: 2096: 2093: 2091: 2088: 2086: 2083: 2081: 2078: 2076: 2073: 2071: 2068: 2066: 2063: 2061: 2058: 2056: 2053: 2051: 2048: 2046: 2043: 2041: 2038: 2036: 2033: 2031: 2028: 2026: 2023: 2021: 2018: 2016: 2013: 2012: 2008: 2004: 2001: 1999: 1996: 1994: 1991: 1990: 1987: 1984: 1982: 1979: 1977: 1974: 1973: 1969: 1967: 1965: 1961: 1953: 1949: 1946: 1945: 1941: 1939: 1937: 1936:tessellations 1930:Tessellations 1929: 1924: 1923:Vertex figure 1921: 1920: 1919: 1917: 1909: 1905: 1902: 1899: 1895: 1892: 1889: 1885: 1882: 1879: 1876: 1873: 1870: 1867: 1864: 1861: 1858: 1855: 1852: 1851: 1850: 1844: 1842: 1834: 1831: 1828: 1825: 1822: 1819: 1816: 1813: 1808: 1805: 1802: 1799: 1797: 1793: 1790: 1788: 1784: 1781: 1776: 1773: 1770: 1767: 1765: 1761: 1758: 1756: 1752: 1749: 1744: 1741: 1738: 1735: 1733: 1729: 1727: 1723: 1721: 1717: 1714: 1709: 1706: 1703: 1700: 1698: 1694: 1692: 1688: 1686: 1682: 1679: 1674: 1671: 1668: 1665: 1662: 1660: 1659:star polygons 1656: 1654: 1650: 1647: 1642: 1639: 1636: 1633: 1630: 1627: 1625: 1621: 1618: 1611: 1604: 1597: 1590: 1583: 1580: 1577: 1574: 1573: 1570: 1568: 1560: 1556: 1553: 1551: 1548: 1546: 1543: 1541: 1538: 1536: 1533: 1531: 1528: 1525: 1522: 1519: 1516: 1513: 1510: 1509: 1502: 1499: 1491: 1481: 1477: 1473: 1467: 1466: 1461:This section 1459: 1456: 1452: 1451: 1445: 1440: 1439:Z-order curve 1437: 1435: 1432: 1430: 1427: 1425: 1422: 1420: 1417: 1415: 1412: 1410: 1407: 1405: 1402: 1400: 1397: 1395: 1392: 1390: 1387: 1385: 1382: 1380: 1377: 1375: 1374:Rauzy fractal 1372: 1370: 1367: 1365: 1362: 1360: 1357: 1355: 1352: 1350: 1347: 1345: 1342: 1340: 1337: 1334: 1332: 1331:Menger sponge 1329: 1327: 1324: 1322: 1319: 1317: 1314: 1312: 1309: 1307: 1304: 1302: 1299: 1297: 1294: 1292: 1289: 1287: 1284: 1282: 1279: 1277: 1274: 1272: 1269: 1267: 1264: 1261: 1258: 1256: 1255:Hilbert curve 1253: 1251: 1248: 1246: 1243: 1241: 1238: 1236: 1235:Gosper island 1233: 1231: 1228: 1226: 1225:Fractal curve 1223: 1221: 1220:Flame fractal 1218: 1215: 1212: 1210: 1207: 1205: 1204:Douady rabbit 1202: 1200: 1199:De Rham curve 1197: 1194: 1191: 1189: 1186: 1184: 1181: 1179: 1176: 1174: 1171: 1169: 1166: 1164: 1161: 1160: 1157: 1149: 1144: 1143:ruled surface 1140: 1137: 1136: 1132: 1128: 1125: 1122: 1121:Dupin cyclide 1119: 1117: 1114: 1111: 1110:Monkey saddle 1108: 1106: 1105:Clebsch cubic 1103: 1101: 1098: 1096: 1093: 1092: 1091: 1090: 1088: 1080: 1077: 1073: 1070: 1068: 1065: 1064: 1060: 1056: 1053: 1051: 1048: 1046: 1043: 1040: 1037: 1035: 1032: 1030: 1027: 1025: 1022: 1020: 1017: 1013: 1010: 1009: 1008: 1005: 1003: 1000: 999: 996: 993: 987: 986:Boy's surface 984: 982: 981:Roman surface 979: 977: 974: 973: 972: 969: 967: 964: 963: 959: 956: 952: 949: 947: 944: 942: 939: 937: 934: 932: 929: 927: 924: 922: 919: 917: 914: 912: 909: 907: 904: 902: 899: 897: 894: 893: 890: 887: 883: 880: 878: 875: 873: 870: 868: 865: 861: 858: 856: 853: 847: 844: 843: 842: 839: 838: 837: 834: 832: 829: 827: 824: 823: 822: 819: 817: 814: 813: 811: 803: 799: 796: 794: 793:Twisted cubic 791: 789: 788:Slinky spiral 786: 784: 781: 776: 773: 770: 767: 766: 765: 762: 760: 757: 756: 752: 747: 744: 742: 739: 737: 734: 732: 729: 727: 724: 722: 719: 717: 714: 711: 708: 706: 703: 701: 700:Inverse curve 698: 696: 693: 691: 688: 686: 683: 681: 678: 675: 672: 671: 666: 662: 659: 657: 654: 650: 647: 646: 645: 642: 640: 637: 635: 632: 630: 627: 623: 620: 618: 615: 614: 613: 610: 608: 605: 604: 601:constructions 600: 597: 593: 590: 588: 585: 583: 580: 576: 575:Golden spiral 573: 571: 568: 566: 563: 561: 558: 556: 553: 551: 548: 546: 543: 541: 540:Cotes' spiral 538: 536: 533: 531: 528: 527: 526: 523: 521: 518: 516: 515:Pursuit curve 513: 511: 508: 504: 501: 499: 496: 494: 491: 490: 489: 486: 484: 481: 479: 476: 474: 471: 469: 466: 464: 461: 459: 456: 454: 451: 449: 446: 445: 441: 437: 434: 432: 429: 427: 424: 422: 419: 417: 414: 413: 409: 405: 402: 400: 399:Bolza surface 397: 395: 392: 390: 389:Klein quartic 387: 385: 382: 380: 377: 375: 372: 371: 367: 363: 360: 358: 355: 353: 350: 348: 345: 343: 340: 338: 335: 334: 330: 326: 323: 321: 318: 316: 313: 311: 308: 306: 303: 301: 298: 296: 293: 291: 288: 287: 283: 279: 276: 274: 271: 268: 266: 263: 262: 258: 254: 251: 250: 246: 241: 238: 234: 231: 229: 226: 225: 224: 221: 219: 216: 214: 211: 209: 206: 204: 201: 199: 196: 194: 191: 189: 188:Devil's curve 186: 184: 183:Deltoid curve 181: 179: 176: 174: 171: 169: 166: 164: 161: 159: 156: 154: 151: 150: 145: 140: 137: 135: 132: 130: 127: 125: 124:Trident curve 122: 120: 117: 115: 112: 110: 107: 105: 102: 100: 97: 95: 92: 91: 86: 82: 79: 77: 74: 72: 69: 68: 64: 59: 55: 52: 50: 47: 45: 42: 41: 39: 32: 29: 27: 25: 22: 19: 8236: 8227: 8218: 8208: 8196:. Retrieved 8192: 8183: 8175:the original 8165: 8156: 8146: 8137: 8127: 8118: 8108: 8100:the original 8090: 8082:the original 8072: 8058: 7845:Sup-Section 7842:Sub-Section 7829: 7766:Bézier curve 7655:Pappus chain 7626:Hypotrochoid 7529:Ford circles 7264: 7253: 7241: 7182:10-orthoplex 7057:Runcinated 4 6426: 6422: 6101:Snub 24-cell 5416:Rhombohedron 5396:Pyritohedron 5301:Apeirohedron 4991:Rhombohedron 4873:Sphenocorona 3681:Dodecahedron 3518:Octacontagon 3508:Hexacontagon 3493:Triacontagon 3483:Enneadecagon 3473:Heptadecagon 3463:Pentadecagon 3458:Tetradecagon 3227: 3182:Star polygon 3151:Penrose tile 3073:Apeirohedron 2866:11-orthoplex 2849:10-orthoplex 2257:Dodecahedron 2195:Tessellation 2164:star polygon 2115:Enneadecagon 2105:Heptadecagon 2095:Pentadecagon 2090:Tetradecagon 1998:Star polygon 1960:line segment 1957: 1933: 1913: 1907: 1897: 1887: 1848: 1840: 1624:line segment 1564: 1494: 1485: 1465:verification 1462: 1335:Monkeys tree 1296:Lévy C curve 1230:Gosper curve 1209:Dragon curve 1139:Right conoid 1100:Barth sextic 1095:Cayley cubic 1084: 1083: 1072:Pseudosphere 966:Klein bottle 936:Saddle tower 877:Möbius strip 759:Conchospiral 753:Space curves 736:Radial curve 607:Bézier curve 535:Cornu spiral 431:Superellipse 421:Fermat curve 362:Watt's curve 342:Cassini oval 278:Quadrifolium 269:Atriphtaloid 21:well-defined 15: 7901:Unit Circle 7781:Beta spline 7631:Hypocycloid 7587:Epitrochoid 7177:10-demicube 7165:10-polytope 7132:9-orthoplex 7033:Truncated 1 7025:Truncated 2 7017:Truncated 4 6894:8-orthoplex 6751:7-orthoplex 6565:6-orthoplex 6394:5-orthoplex 5912:Pentachoron 5021:Deltahedron 4207:non-convex 3686:Icosahedron 3666:Tetrahedron 3478:Octadecagon 3468:Hexadecagon 3057:Apeirotopes 2832:9-orthoplex 2815:8-orthoplex 2798:7-orthoplex 2781:6-orthoplex 2764:5-orthoplex 2262:Icosahedron 2230:Tetrahedron 2110:Octadecagon 2100:Hexadecagon 1981:Equilateral 1354:Peano curve 1339:Moore curve 1178:Cantor dust 872:Tricylinder 855:Hyperboloid 726:Pedal curve 649:Maurer rose 634:Loess curve 582:Syntractrix 352:Cubic curve 305:Hypocycloid 300:Epitrochoid 203:Kappa curve 76:Unit circle 8215:"Hedgehog" 8050:References 8002:Bean Curve 7675:Semicircle 7592:Epicycloid 7276:Honeycombs 7187:10-simplex 7127:9-demicube 7115:9-polytope 7067:Honeycombs 6964:8-demicube 6806:Honeycombs 6689:7-demicube 6608:Honeycombs 6511:6-demicube 6471:6-polytope 6434:Honeycombs 6348:5-demicube 6312:5-polytope 6220:Honeycombs 5887:4-polytope 5361:Holyhedron 5070:Honeycombs 5064:Hosohedron 5031:Prismatoid 5026:Zonohedron 4976:Disphenoid 3676:Octahedron 3443:Hendecagon 3063:Apeirotope 2964:honeycombs 2880:honeycombs 2856:11-simplex 2839:10-simplex 2718:5-polytope 2574:Hosohedron 2486:Non-convex 2292:Non-convex 2276:hosohedron 2248:Octahedron 2213:polyhedron 2158:Non-convex 2085:Tridecagon 2075:Hendecagon 1916:polyhedron 1796:pentacombs 1764:tetracombs 1614:Polytopes 1600:hyperbolic 1593:hyperbolic 1581:Nonconvex 1575:Dimension 1488:April 2018 1326:Mandelbulb 1281:Koch curve 1183:Cantor set 1045:Paraboloid 867:Bicylinder 860:Paraboloid 716:Orthotomic 520:Rhumb line 510:Lamé curve 347:Cassinoide 325:Rose curve 290:Epicycloid 158:Bean curve 8016:Bow Curve 7621:Horocycle 7489:Corporoid 7462:Hypervoid 7457:Emperoids 7447:Xenoshape 7432:Planetium 7251:Uniform 2 7239:Uniform 1 7215:Hypercube 7153:honeycomb 7137:9-simplex 7103:honeycomb 7095:honeycomb 7087:honeycomb 6857:8-simplex 6834:honeycomb 6826:honeycomb 6656:7-simplex 6633:honeycomb 6482:6-simplex 6323:5-simplex 6293:hypercube 5943:Tesseract 5924:Hypercone 5917:Tesseract 5316:Bifrustum 4971:Bipyramid 3834:Antiprism 3787:Snub cube 3558:Apeirogon 3548:65537-gon 3538:Chiliagon 3448:Dodecagon 3370:Trapezoid 3350:Rectangle 3242:— 2 sided 3236:— 1 sided 3221:Pentagram 3199:Heptagram 3068:Apeirogon 2912:Hypercube 2822:9-simplex 2805:8-simplex 2788:7-simplex 2771:6-simplex 2754:5-simplex 2742:Hypercube 2728:Tetracomb 2723:Honeycomb 2557:Honeycomb 2432:Hypercube 2352:Apeirogon 2243:hypercube 2201:Apeirogon 2184:Enneagram 2174:Heptagram 2169:Pentagram 2130:Chiliagon 2080:Dodecagon 2040:Hypercube 2003:Pentagram 1878:Hypercell 1732:honeycomb 1598:Nonconvex 1586:Euclidean 1276:Julia set 1262:attractor 1260:Ikeda map 1250:Hexaflake 1245:Hénon map 1240:H-fractal 1050:Sphericon 1024:Ellipsoid 976:Cross-cap 836:Ellipsoid 775:Hemihelix 746:Strophoid 695:Glissette 599:Piecewise 488:Isochrone 473:Cochleoid 295:Epispiral 193:Hippopede 168:Bow curve 8251:Category 8153:"Slinky" 7990:Degree 4 7915:Degree 3 7888:Degree 2 7864:¿ Curves 7859:¿ Curves 7839:Section 7786:B-spline 7756:hedgehog 7741:Conchoid 7716:Crescent 7680:Squircle 7602:Nephroid 7597:Cardioid 7467:Hyperoid 7402:Glowvoid 7300:Triangle 7293:Geometry 7270:polytope 7263:Uniform 7258:polytope 7246:polytope 7061:polytope 7053:polytope 7045:polytope 7037:polytope 7029:polytope 7021:polytope 7013:polytope 7005:polytope 6997:polytope 6800:polytope 6792:polytope 6784:polytope 6602:polytope 6594:polytope 6150:Duoprism 5959:600-cell 5955:120-cell 5306:Bicupola 5059:Dihedron 5041:Bicupola 3728:Hemicube 3543:Myriagon 3528:Hectogon 3488:Icosagon 3409:Heptagon 3385:Pentagon 3345:Rhomboid 3246:Triangle 3216:Decagram 3204:Octagram 3187:Hexagram 3156:Polyform 2579:Dihedron 2480:3-sphere 2475:Hosotope 2456:600-cell 2451:120-cell 2357:Dihedron 2281:dihedron 2189:Decagram 2179:Octagram 2125:Hectogon 2120:Icosagon 2065:Enneagon 2055:Heptagon 2045:Pentagon 1653:polygons 1612:Abstract 1567:polytope 1419:Triflake 1409:T-square 1291:L-system 1150:Fractals 1085:See the 1007:Spheroid 995:Quadrics 960:surfaces 926:Lidinoid 921:Helicoid 906:Catenoid 841:Spheroid 831:Cylinder 741:Roulette 705:Involute 685:Conchoid 617:B-spline 592:Trochoid 587:Tractrix 483:Horopter 463:Catenary 273:Nephroid 259:Degree 6 247:Degree 5 228:Cardioid 146:Degree 4 87:Degree 3 65:Degree 2 8198:14 June 7736:Cissoid 7731:Caustic 7670:Salinon 7636:Astroid 7582:Cycloid 7552:Arbelos 7537:Annulus 7494:Primoid 7482:Forcoid 7442:Xenroid 7417:Gaxxoid 7210:Simplex 7172:10-cube 6299:simplex 5977:57-cell 5973:11-cell 5951:24-cell 5947:16-cell 5930:Convex 5001:Frustum 4966:Pyramid 3565:Tilings 3553:Megagon 3533:257-gon 3431:Decagon 3426:Nonagon 3414:Octagon 3397:Hexagon 3338:Lozenge 3332:Rhombus 3234:Monogon 3171:Golygon 3102:57-cell 3097:11-cell 2861:11-cube 2844:10-cube 2737:Simplex 2446:24-cell 2437:16-cell 2423:Simplex 2412:convex 2234:Simplex 2147:Monogon 2070:Decagon 2060:Octagon 2050:Hexagon 2025:Simplex 1976:Polygon 1697:tilings 1578:Convex 1524:polymer 1344:N-flake 1216:fractal 1195:fractal 710:Isoptic 690:Evolute 680:Cissoid 674:Caustic 612:Splines 525:Spirals 478:Cycloid 468:Clélies 265:Astroid 223:Limaçon 54:Fractal 8009:Bicorn 7771:Spline 7562:Circle 7477:Mixbox 7452:Xenoid 7437:Epyoid 7422:Gyroid 7122:9-cube 6927:8-cube 6722:7-cube 6714:7-cube 6540:6-cube 6532:6-cube 6373:5-cube 6365:5-cube 5939:5-cell 5311:Cupola 5243:Others 5036:Cupola 4986:Cuboid 3355:square 3315:square 3166:Gnomon 3161:Balbis 2827:9-cube 2810:8-cube 2793:7-cube 2776:6-cube 2759:5-cube 2470:Ditope 2428:8-cell 2419:5-cell 2219:Convex 2030:Square 2009:Convex 1906:, an ( 1896:, an ( 1886:, an ( 1854:Vertex 1591:Convex 1584:Convex 1526:shapes 1002:Sphere 916:Gyroid 846:Sphere 639:Lowess 560:Lituus 163:Bicorn 24:shapes 7848:Name 7800:NURBS 5506:Wedge 5289:Other 3829:Prism 3240:Digon 2152:Digon 1948:Point 1894:Ridge 1884:Facet 1116:Torus 1055:Oloid 882:Torus 816:Plane 764:Helix 8200:2019 7895:(s) 7650:Lune 7201:and 6473:and 6314:and 5521:and 3671:Cube 3322:kite 3176:Star 2239:Cube 1966:{}. 1904:Peak 1872:Cell 1866:Face 1860:Edge 1472:talk 1019:Cone 826:Cone 629:Ogee 7809:Ray 7726:Arc 6429:+1. 1724:10 1478:by 1141:(a 8253:: 8217:. 8191:. 8155:. 8136:. 8117:. 7268:21 7101:52 7097:, 7093:51 7089:, 7085:21 7059:21 7055:, 7051:41 7047:, 7043:21 7039:, 7035:42 7031:, 7027:41 7023:, 7019:21 7015:, 7011:21 7007:, 7003:41 6999:, 6995:42 6986:, 6982:, 6978:, 6974:, 6970:, 6966:, 6957:, 6953:, 6949:, 6945:, 6941:, 6937:, 6933:, 6929:, 6920:, 6916:, 6912:, 6908:, 6904:, 6900:, 6896:, 6887:, 6883:, 6879:, 6875:, 6871:, 6867:, 6863:, 6859:, 6848:, 6832:33 6828:, 6824:31 6798:21 6794:, 6790:31 6786:, 6782:32 6773:, 6769:, 6765:, 6761:, 6757:, 6753:, 6744:, 6740:, 6736:, 6732:, 6728:, 6724:, 6720:, 6716:, 6707:, 6703:, 6699:, 6695:, 6691:, 6682:, 6678:, 6674:, 6670:, 6666:, 6662:, 6658:, 6647:, 6631:22 6600:21 6596:, 6592:22 6583:, 6579:, 6575:, 6571:, 6567:, 6558:, 6554:, 6550:, 6546:, 6542:, 6538:, 6534:, 6525:, 6521:, 6517:, 6513:, 6504:, 6500:, 6496:, 6492:, 6488:, 6484:, 6469:, 6408:, 6404:, 6400:, 6396:, 6387:, 6383:, 6379:, 6375:, 6371:, 6367:, 6358:, 6354:, 6350:, 6341:, 6337:, 6333:, 6329:, 6325:, 6310:, 6207:, 6203:, 6199:, 6195:, 6191:, 6182:, 6178:, 6174:, 6170:, 6166:, 6157:, 6129:, 6125:, 6116:, 6112:, 6108:, 6099:, 6095:, 6091:, 6087:, 6078:, 6069:, 6065:, 6061:, 6052:, 6048:, 6044:, 6026:, 6022:, 6018:, 6014:, 6010:, 6006:, 6002:, 5998:, 5994:, 5975:, 5957:, 5953:, 5949:, 5945:, 5941:, 3724:) 1835:∞ 1814:7+ 1809:∞ 1794:1 1785:3 1777:∞ 1762:3 1753:3 1745:∞ 1742:11 1730:1 1718:6 1710:∞ 1695:3 1689:4 1683:5 1675:∞ 1657:∞ 1651:∞ 1643:1 1622:1 26:. 8239:. 8221:. 8202:. 8159:. 8140:. 8121:. 7265:k 7256:1 7254:k 7244:2 7242:k 7151:9 7149:E 7099:1 7091:2 7083:5 7009:4 7001:2 6993:1 6830:1 6822:3 6796:3 6788:2 6780:1 6629:2 6598:2 6590:1 6427:n 6423:n 1908:n 1898:n 1888:n 1832:0 1829:0 1826:0 1823:1 1820:0 1817:3 1806:5 1803:0 1800:0 1791:0 1782:6 1774:2 1771:4 1768:5 1759:0 1750:5 1739:0 1736:4 1715:4 1707:∞ 1704:∞ 1701:∞ 1680:3 1672:0 1669:0 1666:1 1663:1 1648:2 1640:0 1637:0 1634:0 1631:1 1628:0 1619:1 1501:) 1495:( 1490:) 1486:( 1470:( 1468:. 1145:) 1089:.

Index

mathematically
well-defined
shapes
Algebraic curves
List of curves
Cubic plane curve
Quartic plane curve
Fractal
Conic sections
Unit circle
Unit hyperbola
Folium of Descartes
Cissoid of Diocles
Conchoid of de Sluze
Right strophoid
Semicubical parabola
Serpentine curve
Trident curve
Trisectrix of Maclaurin
Tschirnhausen cubic
Witch of Agnesi
Ampersand curve
Bean curve
Bicorn
Bow curve
Bullet-nose curve
Cruciform curve
Deltoid curve
Devil's curve
Hippopede

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