38:
152:
128:
268:
90:
557:
189:
596:
575:
686:
616:
144:
502:
432:
396:
360:
64:
60:
56:
621:
52:
48:
42:
196:
triangles, but a square requires four smaller squares to cover all of its corners. The
Hadwiger conjecture states that any
486:
380:
101:
452:
416:
344:
327:
73:
151:
611:
601:
592:
The following pages on the
English Knowledge (XXG) use this file (pages on other projects are not listed):
139:
659:
127:
567:
109:
606:
275:
229:
556:
551:
37:
680:
200:-dimensional convex body can be covered by at most 2 smaller convex copies of itself.
96:
193:
209:
579:
134:
290:, without any conditions, unless such conditions are required by law.
649:
524:
Click on a date/time to view the file as it appeared at that time.
273:
I, the copyright holder of this work, release this work into the
639:
397:
copyrighted, dedicated to the public domain by copyright holder
262:
122:
84:
150:
282:
In some countries this may not be legally possible; if so:
433:
released into the public domain by the copyright holder
311:
Add a one-line explanation of what this file represents
78:(SVG file, nominally 437 × 195 pixels, file size: 1 KB)
669:
172:
108:
Commons is a freely licensed media file repository.
574:{{Information |Description={{en|1=Illustration for
576:the Hadwiger conjecture in combinatorial geometry
190:the Hadwiger conjecture in combinatorial geometry
660:Conjecture de Hadwiger (géométrie combinatoire)
89:
578:. A triangle may be covered by three smaller
192:. A triangle may be covered by three smaller
8:
597:Hadwiger conjecture (combinatorial geometry)
617:Knowledge (XXG):Recent additions/2009/March
41:Size of this PNG preview of this SVG file:
526:
307:
286:I grant anyone the right to use this work
242:
632:The following other wikis use this file:
133:This image appeared on Knowledge (XXG)'s
594:
500:
484:
466:
450:
430:
414:
394:
378:
358:
342:
325:
322:
303:
296:
267:
7:
687:Knowledge (XXG) Did you know images
515:
316:
310:
182:
165:
121:
71:
315:
301:
266:
126:
88:
31:
21:
298:
183:
14:
622:Portal:Mathematics/Suggestions
297:
26:
1:
503:original creation by uploader
143:column on 16 March 2009 (see
646:Usage on es.wikiversity.org
636:Usage on en.wikiversity.org
323:Items portrayed in this file
582:triangles, but a square req
703:
666:Usage on pt.wikipedia.org
656:Usage on fr.wikipedia.org
516:
279:. This applies worldwide.
219:
16:
612:User:WordSeventeen/Notes
300:
95:This is a file from the
602:User:David Eppstein/DYK
573:
225:
215:
208:
205:
175:
99:. Information from its
156:
102:description page there
178:Hadwiger covering.svg
154:
650:Usuario:Juan Marquez
65:2,560 × 1,142 pixels
552:23:26, 6 March 2009
47:Other resolutions:
157:
61:1,280 × 571 pixels
57:1,024 × 457 pixels
640:User:Juan Marquez
628:Global file usage
607:User:Juan Marquez
585:
417:copyright license
309:
295:
294:
283:
261:
260:
235:
234:
188:Illustration for
161:
160:
117:
116:
97:Wikimedia Commons
32:Global file usage
694:
564:
381:copyright status
281:
270:
269:
263:
257:
254:
251:
248:
243:
221:
211:
187:
179:
173:
130:
123:
113:
92:
91:
85:
79:
68:
53:640 × 286 pixels
49:320 × 143 pixels
43:437 × 195 pixels
702:
701:
697:
696:
695:
693:
692:
691:
677:
676:
626:
593:
586:
570:
562:
518:
517:
514:
513:
512:
511:
510:
509:
508:
507:
505:
493:
492:
491:
489:
478:
477:
476:
475:
474:
473:
472:
471:
469:
459:
458:
457:
455:
444:
443:
442:
441:
440:
439:
438:
437:
435:
423:
422:
421:
419:
408:
407:
406:
405:
404:
403:
402:
401:
399:
387:
386:
385:
383:
372:
371:
370:
369:
368:
367:
366:
365:
363:
351:
350:
349:
347:
336:
335:
334:
333:
332:
330:
314:
313:
312:
288:for any purpose
255:
252:
249:
246:
241:
236:
201:
177:
170:
163:
162:
155:Knowledge (XXG)
119:
118:
107:
106:
105:is shown below.
81:
77:
70:
69:
46:
12:
11:
5:
700:
698:
690:
689:
679:
678:
675:
674:
673:
672:
664:
663:
662:
654:
653:
652:
644:
643:
642:
630:
629:
625:
624:
619:
614:
609:
604:
599:
591:
590:
589:
584:
583:
572:
569:David Eppstein
568:
565:
559:
554:
549:
545:
544:
541:
538:
535:
532:
529:
522:
521:
506:
501:
499:
498:
497:
496:
495:
494:
490:
487:source of file
485:
483:
482:
481:
480:
479:
470:
467:
465:
464:
463:
462:
461:
460:
456:
451:
449:
448:
447:
446:
445:
436:
431:
429:
428:
427:
426:
425:
424:
420:
415:
413:
412:
411:
410:
409:
400:
395:
393:
392:
391:
390:
389:
388:
384:
379:
377:
376:
375:
374:
373:
364:
361:David Eppstein
359:
357:
356:
355:
354:
353:
352:
348:
343:
341:
340:
339:
338:
337:
331:
326:
324:
321:
320:
319:
318:
317:
306:
305:
302:
299:
293:
292:
271:
259:
258:
240:
237:
233:
232:
230:David Eppstein
227:
223:
222:
217:
213:
212:
207:
203:
202:
180:
171:
169:
166:
164:
159:
158:
148:
131:
120:
115:
114:
93:
83:
82:
40:
36:
35:
34:
29:
24:
19:
13:
10:
9:
6:
4:
3:
2:
699:
688:
685:
684:
682:
671:
668:
667:
665:
661:
658:
657:
655:
651:
648:
647:
645:
641:
638:
637:
635:
634:
633:
627:
623:
620:
618:
615:
613:
610:
608:
605:
603:
600:
598:
595:
587:
581:
577:
571:
566:
560:
558:
555:
553:
550:
547:
546:
542:
539:
536:
533:
530:
528:
527:
525:
519:
504:
488:
454:
434:
418:
398:
382:
362:
346:
329:
291:
289:
284:
280:
278:
277:
276:public domain
272:
265:
264:
250:Public domain
247:Public domain
245:
244:
238:
231:
228:
224:
218:
214:
204:
199:
195:
191:
186:
181:
174:
167:
153:
149:
146:
142:
141:
140:Did you know?
136:
132:
129:
125:
124:
111:
104:
103:
98:
94:
87:
86:
80:
75:
74:Original file
66:
62:
58:
54:
50:
44:
39:
33:
30:
28:
25:
23:
20:
18:
15:
631:
523:
520:File history
468:6 March 2009
287:
285:
274:
210:6 March 2009
197:
184:
138:
110:You can help
100:
72:
22:File history
176:Description
588:File usage
580:homothetic
561:437 × 195
537:Dimensions
194:homothetic
27:File usage
670:Geometria
534:Thumbnail
531:Date/Time
453:inception
239:Licensing
185:English:
135:Main Page
681:Category
304:Captions
220:Own work
145:archives
548:current
543:Comment
345:creator
328:depicts
308:English
168:Summary
137:in the
76:
563:(1 KB)
226:Author
216:Source
256:false
253:false
540:User
206:Date
17:File
683::
147:).
63:|
59:|
55:|
51:|
45:.
198:n
112:.
67:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
-logo-v2.svg.png){kind=logo}