Knowledge (XXG)

Template talk:Polytopes

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81: 71: 53: 22: 2957:-gon there makes sense because of the p in the other columns. It is shorthand for "the polygon with p edges" not another name for "regular polygon". But it doesn't really address the other issues, of the confusing name changes, the extra width, unclear duplicate links, and the many things that are not polytopes.-- 3498:
is already there, without which the column is empty, and the name isn't piped which makes it much easier to find, the whole point of a navigation box. This is even more of a problem with the heading as the article it links to isn't "I(p)" and doesn't mention it. Anyone following that link to find out
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It was an aethetic decision, based on the fact there's only one G2, one F4, and seemed wasteful to have columns devoted to them. Previously G2 was skipped completely. Shared space risks confusion, but I hoped the blank dimensions would help. (Perhaps shading background colors differently might help a
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More generally there's a problem with the number of edits and lack of edit summaries. If you want to edit an article please use the preview button to see your changes before submitting them, rather than only checking after submitting, and provide proper edit summaries to explain what your changes
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Most of the links which I add doesn't exist in the article, I know. Such as E2,E3,F2, they're the result which I derived (So I'm worried about if I make some serious errors.), I think maybe they (E2,E3,F2...) is not important in Uniform Polytopes, then we ignore them. So I try to add them in the
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has already done the bold thing and reverted your changes. It's already a very large template so I would try to only add things that do not make it bigger, i.e. fill in gaps if you can, or use better names if they are not too long. It's a navigation template so does not need all name variations
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Although G2, F4 and E6~E8 are Exceptional Lie groups, but these three groups have a lot of difference, they don't have the simple connection. It's inappropriate to put them in the same column. Er...By the way, why the line "n-polytope" was in the bottom of the form? Actually the polytope of
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in last table. SO the first table has "single-end-ringed polytopes" by symmetry group, the second table has the same PLUS regular nonconvex regulars. The third table has groups of polytopes. I'd lean towards the FIRST table for a navigator of that SET of polytopes (Call it
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I replaced the template with "option 1" since it seemed the best "map" of the polytope families as this template is used within the uniform polytope articles. Perhaps it should be RENAMED to something else, if there's a more general usage for "Option 3"?
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it is much too wide: somewhere around 1400 px with my default, very small, font size. The point of a navigation template is navigation. The extra names should be handled in the articles or, if they are common enough that they might be searched for, in
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I listed 3 tables above, no strong preference by me. Partly it depends on where it'll be used. Categorical articles ought to have catagorical navigators perhaps, and individual articles have individual navigators by the group!?
2768:, are substantive questions which may be worthy of discussion. It's been so long since I looked at the Lie groups in question, that I'm not sure which is correct. The full names, even if, (IMHO) by mistake, the article is at 2605:
I think option 3, removing the suggested names, seems reasonable. I don't think penteract (for 5-cube) has any more sourcing than polytera (for 5-polytope), but I don't feel like nominating the entire set for deletion. —
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Thanks, I'll try to edit it in the right way (I'm not good at speaking English, I hope I didn't make some grammar error). By the way, is it right to add something likes F2 and E3 polytope in the Template?
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but not their full names. It doesn't look beautiful, I think. Maybe I should turn the template back to Option 1 New Version completely. And I think using F4 is better than Fn if we delete the F2(square).
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Oh...So, is it wrong to add "p-gon" and the others in the templete? I wish you can help to edit according your opinion. After all, it;s very difficult for me to read and express in English. Sorry.
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is stand for G3, and it's in exist. There is only one convex polytope in G group, it have no special convex polytope, so we often use I2(6) instead G2, as well as to use BC2 and I2(4) instead F2
3463:(p) column to the template. Also, I was wondering if something like Schläfli symbols or Coxeter-Dynkin diagrams would be a good thing to include or if it would make the template too cluttered. 149:, and the redirect for 1- is inappropriate. The template makes sense, but the names should be revoked. I don't want to, even temporarily, damage the template by putting the appropriate 3328:
P.S. Square is belong to both BC2 and F2 group, but F2 doesn't seem to be necessary and important, so we ignore it. And use n-cube is better n-hypercube, I think.
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I don't think E3 and F2 have polytopes associated. I wouldn't have reverted those without study, if you hadn't also used odd, long, names for the polytopes.
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tags in noinclude tags, so that the resultant articles aren't tagged as being OR. If this isn't resolved soon, I may propose the template for deletion. —
3704: 103: 3229:, which has instructions and a couple of examples. Or you could just move them: there's no requirement if it's a relatively uncontroversial move.-- 3523:, which would also be confusing if linked to. Is there any way we could provide more information on it? I was thinking about putting it into 2792:
I have just made some changes, I make a smaller template now, though it is still very big :( , and I hope there is no mistake in it. I think
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are not included as Lie groups, apparently because they can't tessellate space. So I linked all the group titles, except Hn at the end!
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listing - users can find those out by going to the articles. And too much information just obscures what's there and confuses people.--
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They are good points to help the improvement of this article. The table could be expanded to help comparision between all shapes.--
3642: 2714: 2517: 3401: 3022: 2992: 2938: 3325:, I see they use but not to express Bn polytope (Cross-polytope). Is it Wrong? Why they doesn't use to express Bn polytope? 33: 2843:
helps: the former is clearer, and some of the new names are not even well established names but OR: see the top of this page.
2135: 2487: 2868:(Again) links should be to existing articles only, so no unlinked names: if important they should be explained in articles. 3548: 2061: 2053: 827: 2871:
It's too wide again, due to the longer names and a totally redundant extra column which is has just a spare link to
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I'm afraid both the current polytope-naming editor and the previous polychoron-naming editor would disagree; it's
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It looks good. You can just add to the template directly, no need for waiting for feedback on small changes. :)
2525: 2123: 2119: 2111: 39: 2495: 234: 3389: 3010: 2980: 2926: 2702: 3605: 3315: 3290: 3254: 3208: 3128: 3120:-cross polytope. None of the other names have much weight in the real world. Agree with Fn to F4, as F2 3057: 2784: 2610: 271: 186: 163: 2567: 2560: 1464: 1456: 884: 877: 365: 358: 102:
on Knowledge (XXG). If you would like to participate, please visit the project page, where you can join
80: 3535:, etc.) are mentioned, but they don't have their own articles. Are they not "exceptional" enough? ;-) 2822:
links should be to existing articles only, so no red links and no external links, even to image pages.
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articles have tables for each polytope family. This table is intented as a compact navagator.
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uncontroversial, but that's two non-vandal editors who would have an honest disagreement. —
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Seems I was wrong before, but I don't understand, Doesn't some groups like E3 and F2 exist?
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I have just made a much more complex version.Are there any inadequates or errors in it?
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is more professional, and almost of us have known which deminsion some polytopes is.
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I looked at the second link. I have no interest in making an account on Quora. The
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which uses the same columns, and they need to be a bit wider with graphs included.
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Actually, I think all simplecies (sp?) and cubes over dimension 4 should use the
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E2,E3,E4,E5 is in exist(F2 as well), even they are not exceptional Lie groups。
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Some of the additions are not polytopes but are lattices, points and lines.
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Clutter is not so much a problem as redundancy and confusion. The link to
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together in one column, and this allowed G2 to be added. I didn't know Hn
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for lack of a better categorical name), and the third option for the
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Do you think the other Lie groups should have their own articles?
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en. Well, what about the classification of each column? I think
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Again there are problems with the recent changes, for example
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I made it a bit more compact, removed less important elements.
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but not the higher ones, as the article for 4-polytopes is at
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but I'm not quite sure if it could go there. Other groups (A
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bit more?) It's less of a problem on table width here, than
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polytopes and it should belongs to Dn group (n-demicube is 1
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and listed grouped polytope families under this template.
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I changed the links to n-polytope, removed 1-polytope.
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what I(p) stands for is going to be very confused.--
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As an aside, how does one do a bulk rename request:
2342:(Variation of option 2 format, but focus on groups) 98:, a collaborative effort to improve the coverage of 3480:shows a similar table with graphs and CD diagrams. 2532: 2506: 2468: 2426: 2382: 2304: 2278: 2240: 2202: 2168: 2142: 2068: 2022: 1996: 1951: 267:a reliable source, just in a reliable source.) — 3380:Sorry, I think something is wrong in the template 2828:Some are just duplicates of other links, e.g. to 1348:Separated columns for n-HyperCube and n-Orthoplex 3476:It was removed a couple months ago. The link to 263:. (They don't need necessarily to be suggested 159:tags inside, but something needs to be done. — 289:I think we can borrow details from this table 32:does not require a rating on Knowledge (XXG)'s 2360: 1929: 1398: 821: 8: 3628:Hi guys. I started this question on Quora: 2367: 2353: 2345: 1936: 1922: 1914: 1405: 1391: 1383: 828: 814: 806: 291: 47: 3262:Correction to part of the above, I wrote 2900:Wow, thanks for your suggestion at first. 2622:I changed the names in option one to the 3638:And this calculator on Google Sheets: 3053:, rather than the other way around. — 2835:I don't think changing names from e.g. 2676:Looking at it now after the changes by 1866: 1833: 1780: 1723: 1676: 1643: 1598: 1556: 1528: 1485: 1351:Separated columns for 1k2 , 2k1 and k21 1249: 1221: 1171: 1121: 1078: 1050: 1010: 971: 947: 904: 214:They're not original research, they're 112:Knowledge (XXG):WikiProject Mathematics 49: 2879:-gon" not used at all in the article. 92:This template is within the scope of 21: 19: 7: 2818:Redlinks and external links. As per 141:For all the entries except 2-4, the 3700:Template-Class mathematics articles 3643:n-simplex and n-cube nth Calculator 3633:Could zooming be the 4th dimension? 3278:" is the correct generic term, but 38:It is of interest to the following 3314:-cross is better, it has the same 3124:one of the other groups (B2?). — 255:, unless the names were suggested 14: 3321:While there is a new problem, in 3705:NA-priority mathematics articles 3045:is standard, but I'd argue that 2922:. It isn't a problem, I think. 115:Template:WikiProject Mathematics 79: 69: 51: 20: 3077:I don't understand, why to use 1284:i made a new simplier version 3282:seems to have more usage than 2949:A "result which I derived" is 2780:is better in the template. — 2746:The question of whether it's F 2633:Template:Quasiregular_polytope 2136:Great grand stellated 120-cell 798:) 00:28, 12February 2010 (UTC) 1: 3596:01:40, 14 December 2011 (UTC) 3549:Exceptional simple Lie groups 3543:01:04, 14 December 2011 (UTC) 3511:20:56, 13 December 2011 (UTC) 3490:20:34, 13 December 2011 (UTC) 3471:19:54, 13 December 2011 (UTC) 2666:07:47, 17 February 2010 (UTC) 2649:22:14, 15 February 2010 (UTC) 2614:04:26, 15 February 2010 (UTC) 2597:04:25, 14 February 2010 (UTC) 1380:14:11, 19 February 2010 (UTC) 1366:03:53, 20 February 2010 (UTC) 1332:08:52, 14 February 2010 (UTC) 1321:More improvements in layout 1313:21:16, 12 February 2010 (UTC) 1294:15:51, 12 February 2010 (UTC) 785:23:45, 11 February 2010 (UTC) 106:and see a list of open tasks. 3685:05:02, 13 October 2014 (UTC) 3658:22:15, 12 October 2014 (UTC) 3547:Yes, it looks like only the 3430:05:46, 5 December 2010 (UTC) 3406:05:20, 5 December 2010 (UTC) 3375:01:46, 2 December 2010 (UTC) 2062:Great stellated dodecahedron 2054:Small stellated dodecahedron 1865: 1832: 1779: 1722: 1675: 1642: 1597: 1555: 1527: 1484: 1425: 1248: 1220: 1170: 1120: 1077: 1049: 1009: 970: 946: 903: 848: 733: 698: 646: 642: 639: 594: 590: 587: 548: 544: 541: 538: 513: 468: 425: 392: 275:08:50, 9 February 2010 (UTC) 239:06:15, 9 February 2010 (UTC) 206:02:02, 9 February 2010 (UTC) 190:16:30, 8 February 2010 (UTC) 167:16:11, 8 February 2010 (UTC) 3193:Demihepteract to 7-demicube 3187:Demipenteract to 5-demicube 2864:The redlinks have gone but 1911:(including star polytopes) 3721: 3610:14:41, 14 April 2012 (UTC) 3551:have individual articles: 3225:You can just post them to 3199:Demienneract to 9-demicube 3196:Demiocteract to 8-demicube 3190:Demihexeract to 6-demicube 3061:15:58, 31 March 2010 (UTC) 3027:11:43, 31 March 2010 (UTC) 2997:16:12, 27 March 2010 (UTC) 2969:15:58, 27 March 2010 (UTC) 2943:15:48, 27 March 2010 (UTC) 2918:-gon” is just copied from 2895:15:16, 27 March 2010 (UTC) 2860:13:14, 27 March 2010 (UTC) 2788:21:48, 26 March 2010 (UTC) 2742:14:37, 26 March 2010 (UTC) 2719:14:19, 26 March 2010 (UTC) 2693:13:44, 25 March 2010 (UTC) 2128:Great icosahedral 120-cell 1386: 809: 304: 3347:09:25, 13 June 2010 (UTC) 3294:18:01, 3 April 2010 (UTC) 3258:17:56, 3 April 2010 (UTC) 3241:17:49, 3 April 2010 (UTC) 3212:17:39, 3 April 2010 (UTC) 3169:Decacross to 10-orthoplex 3166:Enneacross to 9-orthoplex 3160:Heptacross to 7-orthoplex 3154:Pentacross to 5-orthoplex 3132:17:15, 3 April 2010 (UTC) 2514:Convex regular 4-polytope 2488:Kepler–Poinsot polyhedron 1891: 1858: 1829: 1776: 1719: 1672: 1668: 1583: 1543: 1538: 1508: 1496: 1273: 1245: 1217: 1167: 1117: 1074: 997: 962: 64: 46: 3163:Octacross to 8-orthoplex 3157:Hexacross to 6-orthoplex 3148:Enneazetton to 8-simplex 2526:Convex uniform honeycomb 2518:Schläfli–Hess polychoron 2124:Grand stellated 120-cell 2120:Great stellated 120-cell 2112:Small stellated 120-cell 1619:demitesseract (16-cell) 1030:demitesseract (16-cell) 3624:Calculator and question 3266:-cross polytope, while 3151:Decayotton to 9-simplex 3142:Heptapeton to 6-simplex 2496:Uniform star polyhedron 95:WikiProject Mathematics 3359:Exceptional Lie_groups 3316:Coxeter-Dynkin diagram 3139:Hexateron to 5-simplex 1340:Option 1 : New Version 3145:Octaexon to 7-simplex 2953:and so not allowed. " 2272:Gosset 4 21 polytope 2268:Gosset 2 41 polytope 2264:Gosset 1 42 polytope 2234:Gosset 3 21 polytope 2230:Gosset 2 31 polytope 2226:Gosset 1 32 polytope 2196:Gosset 2 21 polytope 2192:Gosset 1 22 polytope 2116:Great grand 120-cell 2100:Icosahedral 120-cell 1299:Looks good! (except 118:mathematics articles 3178:Hepteract to 7-cube 3172:Penteract to 5-cube 3049:should redirect to 1868:Uniform 10-polytope 1413:Fundamental convex 302: 301:in dimensions 2-10 172:OK, I enclosed the 3310:). So I think use 3302:-orthoplex means k 3184:Enneract to 9-cube 3181:Octeract to 8-cube 3175:Hexeract to 6-cube 2522:Uniform polychoron 2492:Uniform polyhedron 2050:Great dodecahedron 1898:Category:Polytopes 1835:Uniform 9-polytope 1782:Uniform 8-polytope 1725:Uniform 7-polytope 1678:Uniform 6-polytope 1645:Uniform 5-polytope 1600:Uniform 4-polytope 1558:Uniform 3-polytope 1530:Regular 2-polytope 1421:in dimensions 2-10 1280:Category:Polytopes 844:in dimensions 2-10 772:Category:Polytopes 292: 87:Mathematics portal 34:content assessment 3504: 3478:Polytope_families 3455:Regular polygons? 3418:Polytope families 3409: 3392:comment added by 3234: 3030: 3013:comment added by 3000: 2983:comment added by 2962: 2951:original research 2946: 2929:comment added by 2888: 2853: 2735: 2727:User:Arthur Rubin 2722: 2705:comment added by 2686: 2577: 2576: 2480:Archimedean solid 2330: 2329: 2058:Great icosahedron 1895: 1894: 1419:uniform polytopes 1277: 1276: 842:uniform polytopes 769: 768: 299:uniform polytopes 253:original research 237: 147:original research 134: 133: 130: 129: 126: 125: 3712: 3525:Simple Lie group 3515:I noticed that I 3500: 3444:Hexagonal tiling 3408: 3386: 3357:I regrouped the 3323:Uniform polytope 3284:5-cross-polytope 3230: 3029: 3007: 2999: 2977: 2958: 2945: 2923: 2884: 2849: 2731: 2721: 2699: 2682: 2626:style, and just 2369: 2362: 2355: 2346: 1938: 1931: 1924: 1915: 1407: 1400: 1393: 1384: 830: 823: 816: 807: 303: 230: 181: 175: 158: 152: 120: 119: 116: 113: 110: 89: 84: 83: 73: 66: 65: 55: 48: 25: 24: 23: 16: 3720: 3719: 3715: 3714: 3713: 3711: 3710: 3709: 3690: 3689: 3626: 3584: 3577: 3570: 3563: 3556: 3534: 3530: 3518: 3509: 3496:regular polygon 3462: 3457: 3387: 3355: 3309: 3305: 3239: 3008: 2978: 2967: 2924: 2910: 2893: 2873:Regular polygon 2858: 2796:is better than 2772:rather than at 2767: 2761: 2755: 2749: 2740: 2725:As you can see 2700: 2691: 2674: 2583: 2578: 2573: 2571: 2564: 2557: 2528: 2502: 2464: 2458:Regular polygon 2422: 2378: 2373: 2336: 2331: 2326: 2300: 2274: 2236: 2198: 2164: 2138: 2064: 2018: 1992: 1947: 1942: 1905: 1826: 1818: 1810: 1769: 1761: 1753: 1714: 1706: 1524: 1518: 1512: 1506: 1500: 1494: 1476: 1468: 1460: 1422: 1411: 1342: 1214: 1207: 1200: 1164: 1157: 1150: 1114: 1107: 943: 937: 931: 925: 919: 913: 895: 888: 881: 845: 834: 805: 688: 682: 676: 636: 630: 624: 584: 578: 389: 383: 376: 369: 362: 356: 345: 329: 318: 287: 261:reliable source 216:suggested names 179: 173: 156: 150: 139: 117: 114: 111: 108: 107: 85: 78: 12: 11: 5: 3718: 3716: 3708: 3707: 3702: 3692: 3691: 3688: 3687: 3646: 3645: 3636: 3635: 3625: 3622: 3621: 3620: 3619: 3618: 3617: 3616: 3615: 3614: 3613: 3612: 3582: 3575: 3568: 3561: 3554: 3532: 3528: 3516: 3505: 3502:JohnBlackburne 3460: 3456: 3453: 3452: 3451: 3450: 3449: 3448: 3447: 3435: 3434: 3433: 3432: 3382: 3381: 3363:Coxeter groups 3354: 3351: 3350: 3349: 3334: 3333: 3332: 3331: 3330: 3329: 3326: 3319: 3307: 3303: 3276:Cross polytope 3274:-orthoplex. " 3235: 3232:JohnBlackburne 3223: 3222: 3221: 3220: 3219: 3218: 3217: 3216: 3215: 3214: 3202: 3201: 3200: 3197: 3194: 3191: 3188: 3185: 3182: 3179: 3176: 3173: 3170: 3167: 3164: 3161: 3158: 3155: 3152: 3149: 3146: 3143: 3140: 3134: 3093: 3092: 3091: 3090: 3089: 3088: 3087: 3086: 3068: 3067: 3066: 3065: 3064: 3063: 3034: 3033: 3032: 3031: 2974: 2973: 2972: 2971: 2963: 2960:JohnBlackburne 2908: 2905: 2901: 2889: 2886:JohnBlackburne 2881: 2880: 2875:using a name " 2869: 2854: 2851:JohnBlackburne 2845: 2844: 2833: 2826: 2823: 2812: 2811: 2810: 2809: 2808: 2807: 2806: 2805: 2763: 2757: 2751: 2747: 2736: 2733:JohnBlackburne 2687: 2684:JohnBlackburne 2678:User:Yaoliding 2673: 2670: 2669: 2668: 2652: 2651: 2619: 2618: 2617: 2616: 2600: 2599: 2582: 2579: 2575: 2574: 2569: 2562: 2555: 2536: 2534: 2530: 2529: 2512: 2510: 2504: 2503: 2500:Uniform tiling 2476:Platonic solid 2474: 2472: 2466: 2465: 2432: 2430: 2424: 2423: 2386: 2384: 2380: 2379: 2374: 2372: 2371: 2364: 2357: 2349: 2335: 2332: 2328: 2327: 2310: 2308: 2302: 2301: 2284: 2282: 2276: 2275: 2246: 2244: 2238: 2237: 2208: 2206: 2200: 2199: 2174: 2172: 2166: 2165: 2148: 2146: 2140: 2139: 2132:Grand 600-cell 2108:Grand 120-cell 2104:Great 120-cell 2074: 2072: 2066: 2065: 2028: 2026: 2020: 2019: 2002: 2000: 1994: 1993: 1987:(Polyyotta) • 1983:(Polyzetta) • 1955: 1953: 1949: 1948: 1943: 1941: 1940: 1933: 1926: 1918: 1904: 1901: 1893: 1892: 1890: 1885: 1880: 1875: 1870: 1864: 1863: 1861: 1859: 1857: 1852: 1847: 1842: 1837: 1831: 1830: 1828: 1824: 1820: 1816: 1812: 1808: 1804: 1799: 1794: 1789: 1784: 1778: 1777: 1775: 1773: 1771: 1767: 1763: 1759: 1755: 1751: 1747: 1742: 1737: 1732: 1727: 1721: 1720: 1718: 1716: 1712: 1708: 1704: 1700: 1695: 1690: 1685: 1680: 1674: 1673: 1671: 1669: 1667: 1662: 1657: 1652: 1647: 1641: 1640: 1631: 1626: 1624: 1622: 1620: 1617: 1612: 1607: 1602: 1596: 1595: 1586: 1584: 1582: 1575: 1570: 1565: 1560: 1554: 1553: 1548: 1546: 1544: 1542: 1537: 1532: 1526: 1525: 1522: 1519: 1516: 1513: 1510: 1507: 1504: 1501: 1498: 1495: 1492: 1489: 1483: 1482: 1480: 1478: 1474: 1470: 1466: 1462: 1458: 1454: 1448: 1442: 1436: 1430: 1424: 1423: 1412: 1410: 1409: 1402: 1395: 1387: 1369: 1368: 1353: 1352: 1349: 1344:New version : 1341: 1338: 1337: 1336: 1335: 1334: 1322: 1316: 1315: 1275: 1274: 1272: 1267: 1258: 1253: 1247: 1246: 1244: 1239: 1230: 1225: 1219: 1218: 1216: 1212: 1205: 1198: 1194: 1189: 1180: 1175: 1169: 1168: 1166: 1162: 1155: 1148: 1144: 1139: 1130: 1125: 1119: 1118: 1116: 1112: 1105: 1101: 1096: 1087: 1082: 1076: 1075: 1073: 1068: 1059: 1054: 1048: 1047: 1038: 1033: 1031: 1028: 1019: 1014: 1008: 1007: 998: 996: 989: 980: 975: 969: 968: 963: 961: 956: 951: 945: 944: 941: 938: 935: 932: 929: 926: 923: 920: 917: 914: 911: 908: 902: 901: 899: 897: 893: 886: 879: 875: 869: 859: 853: 847: 846: 835: 833: 832: 825: 818: 810: 804: 801: 800: 799: 767: 766: 763: 760: 757: 752: 748: 743: 738: 732: 731: 728: 725: 722: 717: 713: 708: 703: 697: 696: 693: 690: 686: 680: 674: 670: 665: 661: 656: 651: 645: 644: 641: 638: 634: 628: 622: 618: 613: 609: 604: 599: 593: 592: 589: 586: 582: 576: 572: 567: 563: 558: 553: 547: 546: 543: 540: 537: 532: 528: 523: 518: 512: 511: 507: 502: 497: 494: 492: 489: 485: 480: 478: 473: 467: 466: 462: 457: 454: 451: 450:(Tetrahedron) 449: 446: 442: 437: 435: 430: 424: 423: 418: 415: 412: 409: 404: 402: 397: 391: 390: 387: 384: 381: 378: 374: 367: 360: 357: 354: 351: 346: 343: 340: 335: 330: 327: 324: 319: 316: 313: 309: 286: 283: 282: 281: 280: 279: 278: 277: 244: 243: 242: 241: 209: 208: 193: 192: 138: 135: 132: 131: 128: 127: 124: 123: 121: 104:the discussion 91: 90: 74: 62: 61: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 3717: 3706: 3703: 3701: 3698: 3697: 3695: 3686: 3682: 3678: 3674: 3670: 3666: 3662: 3661: 3660: 3659: 3655: 3651: 3644: 3641: 3640: 3639: 3634: 3631: 3630: 3629: 3623: 3611: 3607: 3603: 3599: 3598: 3597: 3593: 3589: 3585: 3578: 3571: 3564: 3557: 3550: 3546: 3545: 3544: 3541: 3538: 3526: 3522: 3521:Coxeter group 3514: 3513: 3512: 3508: 3503: 3497: 3493: 3492: 3491: 3487: 3483: 3479: 3475: 3474: 3473: 3472: 3469: 3466: 3454: 3445: 3441: 3440: 3439: 3438: 3437: 3436: 3431: 3427: 3423: 3419: 3414: 3413: 3412: 3411: 3410: 3407: 3403: 3399: 3395: 3391: 3379: 3378: 3377: 3376: 3372: 3368: 3364: 3360: 3352: 3348: 3344: 3340: 3336: 3335: 3327: 3324: 3320: 3317: 3313: 3301: 3297: 3296: 3295: 3292: 3289: 3285: 3281: 3277: 3273: 3269: 3265: 3261: 3260: 3259: 3256: 3253: 3249: 3245: 3244: 3243: 3242: 3238: 3233: 3228: 3213: 3210: 3207: 3203: 3198: 3195: 3192: 3189: 3186: 3183: 3180: 3177: 3174: 3171: 3168: 3165: 3162: 3159: 3156: 3153: 3150: 3147: 3144: 3141: 3138: 3137: 3135: 3133: 3130: 3127: 3123: 3119: 3115: 3111: 3107: 3103: 3102: 3101: 3100: 3099: 3098: 3097: 3096: 3095: 3094: 3084: 3080: 3076: 3075: 3074: 3073: 3072: 3071: 3070: 3069: 3062: 3059: 3056: 3052: 3048: 3044: 3040: 3039: 3038: 3037: 3036: 3035: 3028: 3024: 3020: 3016: 3012: 3005: 3004: 3003: 3002: 3001: 2998: 2994: 2990: 2986: 2982: 2970: 2966: 2961: 2956: 2952: 2948: 2947: 2944: 2940: 2936: 2932: 2928: 2921: 2920:Coxeter Group 2917: 2913: 2906: 2902: 2899: 2898: 2897: 2896: 2892: 2887: 2878: 2874: 2870: 2867: 2866: 2865: 2862: 2861: 2857: 2852: 2842: 2838: 2834: 2831: 2827: 2824: 2821: 2817: 2816: 2815: 2803: 2799: 2795: 2791: 2790: 2789: 2786: 2783: 2779: 2775: 2771: 2766: 2760: 2754: 2745: 2744: 2743: 2739: 2734: 2728: 2724: 2723: 2720: 2716: 2712: 2708: 2704: 2697: 2696: 2695: 2694: 2690: 2685: 2679: 2671: 2667: 2663: 2659: 2654: 2653: 2650: 2646: 2642: 2638: 2634: 2629: 2625: 2621: 2620: 2615: 2612: 2609: 2604: 2603: 2602: 2601: 2598: 2594: 2590: 2585: 2584: 2580: 2572: 2565: 2558: 2551: 2550:Demihypercube 2547: 2543: 2539: 2535: 2531: 2527: 2523: 2519: 2515: 2511: 2509: 2505: 2501: 2497: 2493: 2489: 2485: 2484:Catalan solid 2481: 2477: 2473: 2471: 2467: 2463: 2459: 2455: 2454:Parallelogram 2451: 2447: 2443: 2439: 2435: 2431: 2429: 2425: 2421: 2417: 2413: 2409: 2405: 2401: 2397: 2393: 2389: 2385: 2381: 2377: 2370: 2365: 2363: 2358: 2356: 2351: 2350: 2347: 2343: 2341: 2333: 2325: 2321: 2317: 2313: 2312:Hendecaxennon 2309: 2307: 2303: 2299: 2295: 2291: 2287: 2283: 2281: 2277: 2273: 2269: 2265: 2261: 2257: 2253: 2249: 2245: 2243: 2239: 2235: 2231: 2227: 2223: 2222:Demihepteract 2219: 2215: 2211: 2207: 2205: 2201: 2197: 2193: 2189: 2185: 2181: 2177: 2173: 2171: 2167: 2163: 2162:Demipenteract 2159: 2155: 2151: 2147: 2145: 2141: 2137: 2133: 2129: 2125: 2121: 2117: 2113: 2109: 2105: 2101: 2097: 2093: 2089: 2085: 2081: 2077: 2073: 2071: 2067: 2063: 2059: 2055: 2051: 2047: 2043: 2039: 2035: 2031: 2027: 2025: 2021: 2017: 2013: 2009: 2005: 2001: 1999: 1995: 1990: 1986: 1982: 1978: 1975:(Polypeta) • 1974: 1971:(Polytera) • 1970: 1966: 1962: 1958: 1954: 1950: 1946: 1939: 1934: 1932: 1927: 1925: 1920: 1919: 1916: 1912: 1910: 1902: 1900: 1899: 1889: 1886: 1884: 1881: 1879: 1876: 1874: 1871: 1869: 1862: 1860: 1856: 1853: 1851: 1848: 1846: 1843: 1841: 1838: 1836: 1827: 1821: 1819: 1813: 1811: 1805: 1803: 1800: 1798: 1795: 1793: 1790: 1788: 1785: 1783: 1774: 1772: 1770: 1764: 1762: 1756: 1754: 1748: 1746: 1743: 1741: 1738: 1736: 1733: 1731: 1728: 1726: 1717: 1715: 1709: 1707: 1701: 1699: 1696: 1694: 1691: 1689: 1686: 1684: 1681: 1679: 1670: 1666: 1663: 1661: 1658: 1656: 1653: 1651: 1648: 1646: 1639: 1635: 1632: 1630: 1627: 1625: 1623: 1621: 1618: 1616: 1613: 1611: 1608: 1606: 1603: 1601: 1594: 1590: 1587: 1585: 1580: 1576: 1574: 1571: 1569: 1566: 1564: 1561: 1559: 1552: 1549: 1547: 1545: 1541: 1536: 1533: 1531: 1520: 1514: 1502: 1490: 1488: 1481: 1479: 1477: 1471: 1469: 1463: 1461: 1455: 1453: 1449: 1447: 1443: 1441: 1437: 1435: 1431: 1429: 1426: 1420: 1416: 1408: 1403: 1401: 1396: 1394: 1389: 1388: 1385: 1382: 1381: 1377: 1373: 1367: 1363: 1359: 1355: 1354: 1350: 1347: 1346: 1345: 1339: 1333: 1329: 1325: 1320: 1319: 1318: 1317: 1314: 1310: 1306: 1302: 1298: 1297: 1296: 1295: 1291: 1287: 1282: 1281: 1271: 1268: 1266: 1262: 1259: 1257: 1254: 1252: 1243: 1240: 1238: 1234: 1231: 1229: 1226: 1224: 1215: 1208: 1201: 1195: 1193: 1190: 1188: 1184: 1181: 1179: 1176: 1174: 1165: 1158: 1151: 1145: 1143: 1140: 1138: 1134: 1131: 1129: 1126: 1124: 1115: 1108: 1102: 1100: 1097: 1095: 1091: 1088: 1086: 1083: 1081: 1072: 1069: 1067: 1063: 1060: 1058: 1055: 1053: 1046: 1042: 1039: 1037: 1034: 1032: 1029: 1027: 1023: 1020: 1018: 1015: 1013: 1006: 1002: 999: 994: 990: 988: 984: 981: 979: 976: 974: 967: 964: 960: 957: 955: 952: 950: 939: 933: 927: 921: 915: 909: 907: 900: 898: 896: 889: 882: 876: 874: 870: 868: 864: 860: 858: 854: 852: 849: 843: 839: 831: 826: 824: 819: 817: 812: 811: 808: 802: 797: 793: 789: 788: 787: 786: 782: 778: 774: 773: 764: 761: 758: 756: 753: 751: 747: 744: 742: 739: 737: 734: 729: 726: 723: 721: 718: 716: 712: 709: 707: 704: 702: 699: 694: 691: 689: 683: 677: 671: 669: 666: 664: 660: 657: 655: 652: 650: 647: 637: 631: 625: 619: 617: 616:Demihepteract 614: 612: 608: 605: 603: 600: 598: 595: 585: 579: 573: 571: 568: 566: 562: 559: 557: 554: 552: 549: 536: 535:Demipenteract 533: 531: 527: 524: 522: 519: 517: 514: 510: 506: 503: 501: 498: 495: 491:Demitesseract 490: 488: 484: 481: 477: 474: 472: 469: 465: 461: 458: 455: 452: 447: 445: 441: 438: 434: 431: 429: 426: 422: 419: 416: 413: 410: 408: 405: 401: 398: 396: 393: 385: 379: 377: 370: 363: 352: 350: 341: 339: 334: 325: 323: 314: 312: 308: 305: 300: 296: 290: 284: 276: 273: 270: 266: 262: 258: 254: 250: 249: 248: 247: 246: 245: 240: 236: 233: 229: 225: 221: 217: 213: 212: 211: 210: 207: 203: 199: 195: 194: 191: 188: 185: 178: 171: 170: 169: 168: 165: 162: 155: 148: 144: 136: 122: 105: 101: 97: 96: 88: 82: 77: 75: 72: 68: 67: 63: 60: 57: 54: 50: 45: 41: 35: 31: 27: 18: 17: 3647: 3637: 3627: 3602:Double sharp 3459:I added an I 3458: 3383: 3356: 3311: 3299: 3288:Arthur Rubin 3271: 3263: 3252:Arthur Rubin 3247: 3224: 3206:Arthur Rubin 3126:Arthur Rubin 3121: 3117: 3113: 3109: 3105: 3055:Arthur Rubin 2975: 2954: 2915: 2911: 2907:The group “I 2882: 2876: 2863: 2846: 2840: 2836: 2813: 2800:, after all 2782:Arthur Rubin 2764: 2758: 2752: 2681:redirects.-- 2675: 2636: 2627: 2623: 2608:Arthur Rubin 2462:Star polygon 2359: 2340:User:Tomruen 2337: 2324:Demidekeract 2306:10-polytopes 2298:Demienneract 2260:Demiocteract 2188:Demihexeract 2042:Dodecahedron 1979:(Polyexa) • 1928: 1906: 1896: 1883:10-orthoplex 1589:Dodecahedron 1427: 1397: 1370: 1343: 1300: 1283: 1278: 1265:10-orthoplex 1001:Dodecahedron 850: 836:Fundamental 775: 770: 755:Demidekeract 720:Demienneract 668:Demiocteract 570:Demihexeract 479:(4-simplex) 460:Dodecahedron 436:(3-simplex) 403:(2-simplex) 310: 293:Fundamental 288: 269:Arthur Rubin 264: 256: 252: 215: 184:Arthur Rubin 161:Arthur Rubin 142: 140: 137:old comments 93: 40:WikiProjects 29: 3388:—Preceding 3280:5-orthoplex 3116:-cube, and 3009:—Preceding 2979:—Preceding 2925:—Preceding 2701:—Preceding 2581:Discussion? 2420:10-polytope 2280:9-polytopes 2248:Enneazetton 2242:8-polytopes 2204:7-polytopes 2170:6-polytopes 2144:5-polytopes 2076:Pentachoron 2046:Icosahedron 2030:Tetrahedron 1991:(Polyxenna) 1989:10-polytope 1888:10-demicube 1850:9-orthoplex 1797:8-orthoplex 1740:7-orthoplex 1693:6-orthoplex 1660:5-orthoplex 1593:Icosahedron 1579:Tetrahedron 1563:Tetrahedron 1372:Mateus Zica 1324:Mateus Zica 1286:Mateus Zica 1270:10-demicube 1251:10-polytope 1237:9-orthoplex 1187:8-orthoplex 1137:7-orthoplex 1094:6-orthoplex 1066:5-orthoplex 1005:Icosahedron 993:Tetrahedron 777:Mateus Zica 464:Icosahedron 433:Tetrahedron 285:new version 145:constitute 109:Mathematics 100:mathematics 59:Mathematics 3694:Categories 3650:TudorTulok 3318:as n-cube. 3248:relatively 3112:-simplex, 3079:10-simplex 2707:Yaoliding 2637:n-polytope 2416:9-polytope 2412:8-polytope 2408:7-polytope 2404:6-polytope 2400:5-polytope 2396:Polychoron 2392:Polyhedron 2294:Enneacross 2286:Decayotton 2218:Heptacross 2176:Heptapeton 2158:Pentacross 2038:Octahedron 1985:9-polytope 1981:8-polytope 1977:7-polytope 1973:6-polytope 1969:5-polytope 1965:Polychoron 1961:Polyhedron 1873:10-simplex 1855:9-demicube 1802:8-demicube 1745:7-demicube 1698:6-demicube 1665:5-demicube 1577:Demicube ( 1573:Octahedron 1256:10-simplex 1242:9-demicube 1223:9-polytope 1192:8-demicube 1173:8-polytope 1142:7-demicube 1123:7-polytope 1099:6-demicube 1080:6-polytope 1071:5-demicube 1052:5-polytope 1012:4-polytope 991:Demicube ( 987:Octahedron 973:3-polytope 949:2-polytope 741:10-simplex 715:Enneacross 611:Heptacross 530:Pentacross 493:(16-cell) 444:Octahedron 224:polychoron 220:polychoron 3673:orthoplex 3669:hypercube 3394:Yaoliding 3339:Yaoliding 3047:Penteract 3043:Tesseract 3015:Yaoliding 2985:Yaoliding 2931:Yaoliding 2904:template. 2841:Hexateron 2820:WP:NAVBOX 2802:penteract 2794:penteract 2770:penteract 2628:n-polyope 2546:Hypercube 2542:Orthoplex 2508:Polychora 2470:Polyhedra 2446:Trapezoid 2442:Rectangle 2376:Polytopes 2320:Decacross 2256:Octacross 2214:Hepteract 2184:Hexacross 2154:Penteract 2150:Hexateron 2080:Tesseract 2070:Polychora 2024:Polyhedra 2016:Pentagram 1945:Polytopes 1840:9-simplex 1787:8-simplex 1730:7-simplex 1683:6-simplex 1650:5-simplex 1610:Tesseract 1446:Orthoplex 1440:Hypercube 1228:9-simplex 1178:8-simplex 1128:7-simplex 1085:6-simplex 1057:5-simplex 1022:Tesseract 1017:4-simplex 978:3-simplex 954:2-simplex 867:Orthoplex 863:Hypercube 750:Decacross 706:9-simplex 663:Octacross 654:8-simplex 607:Hepteract 602:7-simplex 565:Hexacross 556:6-simplex 526:Penteract 521:5-simplex 483:Tesseract 338:Orthoplex 333:Hypercube 3677:Tom Ruen 3588:Tom Ruen 3482:Tom Ruen 3422:Tom Ruen 3402:contribs 3390:unsigned 3367:Tom Ruen 3353:Added G2 3298:I think 3106:standard 3023:contribs 3011:unsigned 2993:contribs 2981:unsigned 2939:contribs 2927:unsigned 2715:contribs 2703:unsigned 2658:Tom Ruen 2641:Tom Ruen 2589:Tom Ruen 2533:Families 2434:Triangle 2428:Polygons 2334:Option 3 2316:Dekeract 2290:Enneract 2252:Octeract 2210:Octaexon 2180:Hexeract 2096:600-cell 2092:120-cell 2012:Pentagon 2004:Triangle 1998:Polygons 1903:Option 2 1638:600-cell 1634:120-cell 1551:Pentagon 1535:Triangle 1452:Demicube 1358:Tom Ruen 1305:Tom Ruen 1045:600-cell 1041:120-cell 966:Pentagon 873:Demicube 803:Option 1 792:Tom Ruen 746:Dekeract 711:Enneract 659:Octeract 561:Hexeract 509:600-cell 505:120-cell 448:Demicube 421:Pentagon 400:triangle 349:Demicube 251:They're 198:Tom Ruen 30:template 3665:simplex 3268:Coxeter 3083:10-cube 2914:” and “ 2756:, and G 2672:Too big 2538:Simplex 2450:Rhombus 2388:Polygon 2088:24-cell 2084:16-cell 1957:Polygon 1878:10-cube 1629:24-cell 1615:16-cell 1434:Simplex 1415:regular 1261:10-cube 1036:24-cell 1026:16-cell 857:Simplex 838:regular 500:24-cell 487:16-cell 322:Simplex 295:regular 3671:, and 3579:, and 3540:(talk) 3537:Aacehm 3468:(talk) 3465:Aacehm 3291:(talk) 3255:(talk) 3209:(talk) 3129:(talk) 3058:(talk) 3051:5-cube 2848:are.-- 2837:5-cell 2830:Square 2798:5-cube 2785:(talk) 2778:5-cube 2774:5-cube 2611:(talk) 2438:Square 2008:Square 1909:User:4 1845:9-cube 1792:8-cube 1735:7-cube 1688:6-cube 1655:5-cube 1605:5-cell 1540:Square 1487:Family 1233:9-cube 1183:8-cube 1133:7-cube 1090:6-cube 1062:5-cube 959:Square 906:Family 476:5-cell 407:Square 307:Family 272:(talk) 187:(talk) 164:(talk) 36:scale. 3507:deeds 3286:. — 3270:used 3237:deeds 3227:WP:RM 3108:name 2965:deeds 2891:deeds 2856:deeds 2762:or GH 2738:deeds 2689:deeds 2624:n-XXX 2338:From 1907:From 143:names 28:This 3681:talk 3654:talk 3606:talk 3592:talk 3531:, BC 3486:talk 3426:talk 3398:talk 3371:talk 3343:talk 3204:? — 3081:and 3019:talk 2989:talk 2935:talk 2750:or F 2711:talk 2662:talk 2645:talk 2593:talk 2383:Main 2034:Cube 1952:Main 1568:Cube 1417:and 1376:talk 1362:talk 1328:talk 1309:talk 1290:talk 983:Cube 865:• n- 840:and 796:talk 781:talk 440:Cube 297:and 202:talk 2912:(p) 2839:to 2717:) 1303:s) 890:• 3696:: 3683:) 3667:, 3656:) 3608:) 3594:) 3586:. 3572:, 3565:, 3558:, 3488:) 3428:) 3404:) 3400:• 3373:) 3345:) 3308:k1 3304:11 3122:is 3025:) 3021:• 2995:) 2991:• 2941:) 2937:• 2883:-- 2776:, 2713:• 2664:) 2647:) 2595:) 2570:k2 2566:, 2563:k2 2559:, 2556:21 2552:, 2548:, 2544:, 2540:, 2524:• 2520:• 2516:• 2498:• 2494:• 2490:• 2486:• 2482:• 2478:• 2460:• 2456:• 2452:• 2448:• 2444:• 2440:• 2436:• 2418:• 2414:• 2410:• 2406:• 2402:• 2398:• 2394:• 2390:• 2322:• 2318:• 2314:• 2296:• 2292:• 2288:• 2270:• 2266:• 2262:• 2258:• 2254:• 2250:• 2232:• 2228:• 2224:• 2220:• 2216:• 2212:• 2194:• 2190:• 2186:• 2182:• 2178:• 2160:• 2156:• 2152:• 2134:• 2130:• 2126:• 2122:• 2118:• 2114:• 2110:• 2106:• 2102:• 2098:• 2094:• 2090:• 2086:• 2082:• 2078:• 2060:• 2056:• 2052:• 2048:• 2044:• 2040:• 2036:• 2032:• 2014:• 2010:• 2006:• 1967:• 1963:• 1959:• 1825:21 1817:41 1809:42 1768:21 1760:31 1752:32 1713:21 1705:22 1636:• 1591:• 1581:) 1497:BC 1475:21 1467:k1 1459:k2 1450:n- 1444:n- 1438:n- 1432:n- 1378:) 1364:) 1330:) 1311:) 1301:x' 1292:) 1263:• 1235:• 1213:21 1209:• 1206:41 1202:• 1199:42 1185:• 1163:21 1159:• 1156:31 1152:• 1149:32 1135:• 1113:21 1109:• 1106:22 1092:• 1064:• 1043:• 1024:• 1003:• 995:) 985:• 916:BC 894:21 887:k1 883:• 880:k2 871:n- 861:n- 855:n- 783:) 765:x 762:x 759:x 736:10 730:x 727:x 724:x 695:x 692:x 687:21 681:41 675:42 643:x 640:x 635:21 629:31 623:32 591:x 588:x 583:21 577:22 545:x 542:x 539:x 496:x 456:x 453:x 417:x 414:x 411:x 375:21 371:, 368:k1 364:, 361:k2 347:n- 336:n- 331:n- 326:BC 320:n- 265:by 259:a 257:in 226:. 204:) 180:}} 177:or 174:{{ 157:}} 154:or 151:{{ 3679:( 3652:( 3604:( 3590:( 3583:8 3581:E 3576:7 3574:E 3569:6 3567:E 3562:4 3560:F 3555:2 3553:G 3533:n 3529:n 3517:n 3484:( 3461:n 3424:( 3396:( 3369:( 3341:( 3312:n 3300:n 3272:n 3264:n 3118:n 3114:n 3110:n 3017:( 2987:( 2955:p 2933:( 2916:p 2909:2 2877:p 2832:. 2765:n 2759:n 2753:n 2748:4 2709:( 2660:( 2643:( 2591:( 2568:1 2561:1 2554:k 2368:e 2361:t 2354:v 1937:e 1930:t 1923:v 1823:4 1815:2 1807:1 1766:3 1758:2 1750:1 1711:2 1703:1 1523:n 1521:H 1517:4 1515:F 1511:n 1509:E 1505:n 1503:D 1499:n 1493:n 1491:A 1473:k 1465:2 1457:1 1428:n 1406:e 1399:t 1392:v 1374:( 1360:( 1326:( 1307:( 1288:( 1211:4 1204:2 1197:1 1161:3 1154:2 1147:1 1111:2 1104:1 942:n 940:H 936:4 934:F 930:n 928:E 924:n 922:D 918:n 912:n 910:A 892:k 885:2 878:1 851:n 829:e 822:t 815:v 794:( 779:( 701:9 685:4 679:2 673:1 649:8 633:3 627:2 621:1 597:7 581:2 575:1 551:6 516:5 471:4 428:3 395:2 388:n 386:H 382:4 380:F 373:k 366:2 359:1 355:n 353:E 344:n 342:D 328:n 317:n 315:A 311:n 235:C 232:T 228:4 200:( 42::

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or
Arthur Rubin
(talk)
16:11, 8 February 2010 (UTC)
or
Arthur Rubin
(talk)
16:30, 8 February 2010 (UTC)
Tom Ruen
talk
02:02, 9 February 2010 (UTC)
polychoron
polychoron
4
T
C
06:15, 9 February 2010 (UTC)
reliable source
Arthur Rubin

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