215:
221:
226:
38:
82:
839:
809:
136:
The E8 4_21 polytope is projected to 3D using 3 rows of the E8 to H4 folding matrix giving H3 symmetry. The vertices are sorted and tallied by their 3D norm. Generating the increasingly transparent hull of each set of tallied norms
267:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
48:
42:
93:
61:
838:
833:
642:
554:
484:
448:
162:
886:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
274:
737:
700:
663:
608:
574:
538:
432:
404:
389:
376:
635:
504:
468:
349:
332:
808:
803:
396:
52:
37:
236:
889:
If the file has been modified from its original state, some details may not fully reflect the modified file.
866:
The following pages on the
English Knowledge (XXG) use this file (pages on other projects are not listed):
273:– If you remix, transform, or build upon the material, you must distribute your contributions under the
157:
for a total of 240 vertices. This is, of course, 2 concentric sets of hulls from the H4 symmetry of the
233:
101:
411:
870:
875:
849:
819:
88:
208:
I, the copyright holder of this work, hereby publish it under the following license:
192:
172:
158:
161:
scaled by the golden ratio. For more information, see my blog post here.
776:
Click on a date/time to view the file as it appeared at that time.
76:
485:
Creative
Commons Attribution-ShareAlike 4.0 International
316:
Add a one-line explanation of what this file represents
120:
100:
Commons is a freely licensed media file repository.
66:(594 × 853 pixels, file size: 181 KB, MIME type:
284:https://creativecommons.org/licenses/by-sa/4.0
126:4 21 E8 to 3D H3 symmetry concentric hulls.png
81:
290:Creative Commons Attribution-Share Alike 4.0
214:
8:
412:http://commons.wikimedia.org/User:Jgmoxness
250:– to copy, distribute and transmit the work
891:
778:
312:
237:Attribution-Share Alike 4.0 International
624:34cda9c0d0d5b174e80381dea1af5764a2005fac
901:
893:
868:
751:
735:
714:
698:
677:
661:
622:
606:
588:
572:
552:
536:
518:
502:
482:
466:
446:
430:
363:
347:
330:
327:
308:
301:
7:
856:User created page with UploadWizard
767:
225:
220:
884:
321:
315:
211:
207:
130:
113:
59:
320:
306:
261:Under the following conditions:
232:This file is licensed under the
224:
219:
213:
80:
21:
303:
131:
14:
302:
26:
1:
555:original creation by uploader
31:
328:Items portrayed in this file
923:
275:same or compatible license
768:
182:
140:1) 4 points at the origin
16:
305:
241:
87:This is a file from the
855:
825:
188:
178:
171:
168:
123:
91:. Information from its
834:20:20, 23 October 2017
804:17:56, 24 October 2017
154:8) 1 icosadodecahedron
148:5) 1 icosadodecahedron
94:description page there
41:Size of this preview:
895:Horizontal resolution
636:determination method
903:Vertical resolution
256:– to adapt the work
47:Other resolutions:
390:Wikimedia username
377:author name string
150:6) 2 dodecahedrons
144:3) 2 dodecahedrons
910:
909:
859:
469:copyright license
314:
198:
197:
152:7) 2 icosahedrons
146:4) 4 icosahedrons
142:2) 2 icosahedrons
109:
108:
89:Wikimedia Commons
914:
892:
871:E8 (mathematics)
846:
816:
756:
719:
682:
645:
640:
433:copyright status
414:
409:
399:
394:
384:
381:
297:
294:
291:
288:
285:
277:as the original.
234:Creative Commons
228:
227:
223:
222:
217:
216:
184:
174:
135:
127:
121:
105:
84:
83:
77:
71:
69:
56:
53:594 × 853 pixels
49:167 × 240 pixels
43:417 × 599 pixels
922:
921:
917:
916:
915:
913:
912:
911:
880:
867:
860:
852:
844:
822:
814:
770:
769:
766:
765:
764:
763:
762:
761:
760:
759:
757:
754:
744:
743:
742:
740:
729:
728:
727:
726:
725:
724:
723:
722:
720:
717:
707:
706:
705:
703:
692:
691:
690:
689:
688:
687:
686:
685:
683:
680:
670:
669:
668:
666:
655:
654:
653:
652:
651:
650:
649:
648:
647:
646:
641:
638:
629:
628:
627:
625:
615:
614:
613:
611:
600:
599:
598:
597:
596:
595:
594:
593:
591:
581:
580:
579:
577:
566:
565:
564:
563:
562:
561:
560:
559:
557:
545:
544:
543:
541:
530:
529:
528:
527:
526:
525:
524:
523:
521:
520:23 October 2017
511:
510:
509:
507:
496:
495:
494:
493:
492:
491:
490:
489:
487:
475:
474:
473:
471:
460:
459:
458:
457:
456:
455:
454:
453:
451:
439:
438:
437:
435:
424:
423:
422:
421:
420:
419:
418:
417:
416:
415:
410:
407:
401:
400:
395:
392:
386:
385:
382:
379:
370:
369:
368:
366:
356:
355:
354:
352:
341:
340:
339:
338:
337:
335:
319:
318:
317:
300:
299:
298:
295:
292:
289:
286:
283:
282:
240:
229:
210:
209:
204:
199:
173:23 October 2017
164:
125:
118:
111:
110:
99:
98:
97:is shown below.
73:
67:
65:
58:
57:
46:
12:
11:
5:
920:
918:
908:
907:
904:
900:
899:
896:
883:
879:
878:
876:User:Jgmoxness
873:
865:
864:
863:
858:
857:
854:
850:
847:
841:
836:
831:
828:
827:
824:
820:
817:
811:
806:
801:
797:
796:
793:
790:
787:
784:
781:
774:
773:
758:
752:
750:
749:
748:
747:
746:
745:
741:
736:
734:
733:
732:
731:
730:
721:
715:
713:
712:
711:
710:
709:
708:
704:
699:
697:
696:
695:
694:
693:
684:
678:
676:
675:
674:
673:
672:
671:
667:
662:
660:
659:
658:
657:
656:
634:
633:
632:
631:
630:
626:
623:
621:
620:
619:
618:
617:
616:
612:
607:
605:
604:
603:
602:
601:
592:
589:
587:
586:
585:
584:
583:
582:
578:
573:
571:
570:
569:
568:
567:
558:
553:
551:
550:
549:
548:
547:
546:
542:
539:source of file
537:
535:
534:
533:
532:
531:
522:
519:
517:
516:
515:
514:
513:
512:
508:
503:
501:
500:
499:
498:
497:
488:
483:
481:
480:
479:
478:
477:
476:
472:
467:
465:
464:
463:
462:
461:
452:
447:
445:
444:
443:
442:
441:
440:
436:
431:
429:
428:
427:
426:
425:
403:
402:
388:
387:
375:
374:
373:
372:
371:
367:
364:
362:
361:
360:
359:
358:
357:
353:
348:
346:
345:
344:
343:
342:
336:
331:
329:
326:
325:
324:
323:
322:
311:
310:
307:
304:
281:
280:
279:
278:
268:
259:
258:
257:
251:
244:You are free:
231:
230:
212:
206:
205:
203:
200:
196:
195:
190:
186:
185:
180:
176:
175:
170:
166:
165:
128:
119:
117:
114:
112:
107:
106:
85:
75:
74:
40:
36:
35:
34:
29:
24:
19:
13:
10:
9:
6:
4:
3:
2:
919:
905:
902:
897:
894:
890:
887:
881:
877:
874:
872:
869:
861:
853:
848:
842:
840:
837:
835:
832:
830:
829:
823:
818:
812:
810:
807:
805:
802:
799:
798:
794:
791:
788:
785:
782:
780:
779:
777:
771:
739:
702:
665:
644:
637:
610:
576:
556:
540:
506:
486:
470:
450:
434:
413:
406:
398:
391:
378:
351:
334:
287:CC BY-SA 4.0
276:
272:
269:
266:
263:
262:
260:
255:
252:
249:
246:
245:
243:
242:
238:
235:
218:
201:
194:
191:
187:
181:
177:
167:
163:
160:
156:
155:
153:
151:
149:
147:
145:
143:
141:
138:
134:
129:
122:
115:
103:
96:
95:
90:
86:
79:
78:
72:
63:
62:Original file
54:
50:
44:
39:
33:
30:
28:
25:
23:
20:
18:
15:
888:
885:
775:
772:File history
270:
264:
253:
247:
139:
132:
102:You can help
92:
60:
22:File history
449:copyrighted
271:share alike
265:attribution
124:Description
862:File usage
843:595 × 816
813:594 × 853
789:Dimensions
575:media type
365:some value
159:w:600-cell
27:File usage
906:47.24 dpc
898:47.24 dpc
851:Jgmoxness
826:corrected
821:Jgmoxness
786:Thumbnail
783:Date/Time
664:data size
590:image/png
505:inception
397:Jgmoxness
383:Jgmoxness
202:Licensing
193:Jgmoxness
133:English:
68:image/png
882:Metadata
845:(142 KB)
815:(181 KB)
679:184,842
609:checksum
309:Captions
254:to remix
248:to share
239:license.
183:Own work
32:Metadata
800:current
795:Comment
350:creator
333:depicts
313:English
116:Summary
64:
701:height
189:Author
179:Source
137:shows:
755:pixel
738:width
718:pixel
643:SHA-1
792:User
753:594
716:853
681:byte
296:true
293:true
169:Date
17:File
405:URL
639::
408::
393::
380::
51:|
45:.
104:.
70:)
55:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.