517:
512:
446:
402:
29:
393:
411:
357:
198:
437:
348:
585:
322:
313:
539:
544:
626:
534:
569:
482:
72:
54:
297:
77:
59:
82:
64:
645:
650:
619:
516:
96:
529:
511:
459:
655:
266:
612:
445:
455:
374:
286:
230:
108:
401:
273:
250:
218:
179:
39:
28:
500:
392:
410:
565:
493:
151:
596:
557:
292:
This can be seen as the three-dimensional equivalent of the compound of two squares ({8/2} "
356:
331:
197:
46:
296:"); this series continues on to infinity, with the four-dimensional equivalent being the
422:
262:
174:
639:
489:
478:
366:
436:
347:
370:
103:
592:
474:
254:
214:
210:
130:
90:
321:
312:
497:
293:
146:
584:
196:
18:
258:
135:
540:
Compound of small stellated dodecahedron and great dodecahedron
545:
Compound of great stellated dodecahedron and great icosahedron
600:
201:
Model of a cube octahedron compound carved from wood
419:Seen from 2-fold, 3-fold and 4-fold symmetry axes
261:. It is one of four compounds constructed from a
620:
8:
506:The stellation facets for construction are:
21:
627:
613:
454:If the edge crossings were vertices, the
213:which can be seen as either a polyhedral
535:Compound of dodecahedron and icosahedron
26:
365:The intersection of both solids is the
237:6: (±2, 0, 0), ( 0, ±2, 0), ( 0, 0, ±2)
233:of the vertices of the compound are.
7:
581:
579:
285:) and shares the same vertices as a
599:. You can help Knowledge (XXG) by
14:
421:The hexagon in the middle is the
298:compound of tesseract and 16-cell
583:
515:
510:
444:
435:
409:
400:
391:
355:
346:
320:
311:
80:
75:
70:
62:
57:
52:
27:
22:Compound of cube and octahedron
458:would be the same as that of a
207:compound of cube and octahedron
173:
165:
157:
141:
125:
114:
102:
89:
45:
35:
564:. Cambridge University Press.
1:
672:
578:
530:Compound of two tetrahedra
460:deltoidal icositetrahedron
267:Kepler-Poinsot polyhedron
483:Wenninger model index 43
595:-related article is a
249:It can be seen as the
202:
646:Polyhedral stellation
473:It is also the first
231:Cartesian coordinates
200:
651:Polyhedral compounds
503:added to each face.
488:It can be seen as a
375:rhombic dodecahedron
287:rhombic dodecahedron
109:Rhombic dodecahedron
456:mapping on a sphere
274:octahedral symmetry
16:Polyhedral compound
203:
608:
607:
571:978-0-521-09859-5
562:Polyhedron Models
558:Wenninger, Magnus
385:
384:
195:
194:
663:
656:Polyhedron stubs
629:
622:
615:
587:
580:
575:
519:
514:
448:
439:
413:
404:
395:
359:
350:
324:
315:
303:
302:
240:8: ( ±1, ±1, ±1)
85:
84:
83:
79:
78:
74:
73:
67:
66:
65:
61:
60:
56:
55:
31:
19:
671:
670:
666:
665:
664:
662:
661:
660:
636:
635:
634:
633:
572:
556:
553:
526:
471:
469:As a stellation
466:
465:
464:
463:
451:
450:
449:
441:
440:
429:
428:
427:
426:
425:of both solids.
420:
416:
415:
414:
406:
405:
397:
396:
381:
380:
379:
378:
362:
361:
360:
352:
351:
338:
337:
336:
335:
330:A cube and its
327:
326:
325:
317:
316:
284:
247:
227:
190:
149:
133:
121:
81:
76:
71:
69:
63:
58:
53:
51:
47:Coxeter diagram
17:
12:
11:
5:
669:
667:
659:
658:
653:
648:
638:
637:
632:
631:
624:
617:
609:
606:
605:
588:
577:
576:
570:
552:
549:
548:
547:
542:
537:
532:
525:
522:
521:
520:
470:
467:
453:
452:
443:
442:
434:
433:
432:
431:
430:
423:Petrie polygon
418:
417:
408:
407:
399:
398:
390:
389:
388:
387:
386:
383:
382:
364:
363:
354:
353:
345:
344:
343:
342:
341:
339:
329:
328:
319:
318:
310:
309:
308:
307:
306:
280:
269:and its dual.
263:Platonic solid
246:
243:
242:
241:
238:
226:
223:
193:
192:
186:
177:
175:Symmetry group
171:
170:
167:
163:
162:
159:
155:
154:
143:
139:
138:
127:
123:
122:
119:
116:
112:
111:
106:
100:
99:
94:
87:
86:
49:
43:
42:
37:
33:
32:
24:
23:
15:
13:
10:
9:
6:
4:
3:
2:
668:
657:
654:
652:
649:
647:
644:
643:
641:
630:
625:
623:
618:
616:
611:
610:
604:
602:
598:
594:
589:
586:
582:
573:
567:
563:
559:
555:
554:
550:
546:
543:
541:
538:
536:
533:
531:
528:
527:
523:
518:
513:
509:
508:
507:
504:
502:
499:
495:
491:
490:cuboctahedron
486:
484:
481:and given as
480:
479:cuboctahedron
476:
468:
461:
457:
447:
438:
424:
412:
403:
394:
376:
372:
368:
367:cuboctahedron
358:
349:
340:
333:
323:
314:
305:
304:
301:
299:
295:
290:
288:
283:
279:
275:
270:
268:
264:
260:
256:
252:
245:As a compound
244:
239:
236:
235:
234:
232:
224:
222:
220:
216:
212:
208:
199:
189:
185:
181:
178:
176:
172:
168:
164:
160:
156:
153:
148:
144:
140:
137:
132:
128:
124:
117:
113:
110:
107:
105:
101:
98:
97:cuboctahedron
95:
92:
88:
50:
48:
44:
41:
38:
34:
30:
25:
20:
601:expanding it
590:
561:
505:
487:
472:
369:, and their
291:
281:
277:
271:
248:
228:
225:Construction
206:
204:
187:
183:
371:convex hull
104:Convex hull
640:Categories
593:polyhedron
551:References
498:triangular
475:stellation
334:octahedron
255:octahedron
215:stellation
211:polyhedron
180:octahedral
131:octahedron
91:Stellation
147:triangles
126:Polyhedra
560:(1974).
524:See also
501:pyramids
294:octagram
251:compound
219:compound
166:Vertices
40:Compound
477:of the
373:is the
272:It has
229:The 14
152:squares
568:
494:square
257:and a
253:of an
591:This
492:with
217:or a
209:is a
158:Edges
142:Faces
115:Index
597:stub
566:ISBN
496:and
332:dual
259:cube
205:The
136:cube
93:core
36:Type
265:or
169:14
161:24
642::
485:.
300:.
289:.
221:.
191:)
150:6
145:8
134:1
129:1
120:43
68:∪
628:e
621:t
614:v
603:.
574:.
462:.
377:.
282:h
278:O
276:(
188:h
184:O
182:(
118:W
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