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Einleitung in die Lehre von der
Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder
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faces. It can be constructed analogously to the pentagram, its two-dimensional analogue, via the extension of said (
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366:(which in turn is also analogous to the pentagram); all of these are the final stellations of the
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289:{3, 3, 5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is the only one with 600 cells.
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327:-dimensional star polytopes which are derived by performing stellational operations on the
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The grand 600-cell can be seen as the four-dimensional analogue of the
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for the pentagram) until the figure regains regular faces.
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552:(Chapter 26, Regular Star-polytopes, pp. 404–408)
370:-dimensional "dodecahedral-type" pentagonal polytope.
362:, mirroring the great icosahedron's duality with the
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558:"4D uniform polytopes (polychora) x3o3o5/2o - gax"
46:but its sources remain unclear because it lacks
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77:Learn how and when to remove this message
540:, Heidi Burgiel, Chaim Goodman-Strauss,
358:The Grand 600-cell is also dual to the
526:, 3rd. ed., Dover Publications, 1973.
323:); both of these are the only regular
16:Regular star 4-polytope with 600 faces
7:
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319:(which in turn is analogous to the
1246:. You can help Knowledge (XXG) by
14:
304:, extending the naming system by
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963:great grand stellated dodecaplex
599:The Great 600-cell, a Zome Model
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351:for the great icosahedron, and
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360:great grand stellated 120-cell
339:)-D simplex faces of the core
254:Great grand stellated 120-cell
1:
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364:great stellated dodecahedron
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1119:grand stellated dodecaplex
1075:great stellated dodecaplex
594:The Regular Star Polychora
396:great icosahedral 120-cell
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670:
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481:Convex regular 4-polytope
476:List of regular polytopes
542:The Symmetries of Things
403:Orthographic projections
388:grand stellated 120-cell
384:great stellated 120-cell
347:for the grand 600-cell,
294:regular star 4-polytopes
32:This article includes a
497:- regular star polygons
283:regular star 4-polytope
114:Regular star 4-polytope
61:more precise citations.
1147:great grand dodecaplex
181:Coxeter-Dynkin diagram
486:Kepler-Poinsot solids
349:equilateral triangles
310:Kepler-Poinsot solids
279:grand polytetrahedron
104:Orthogonal projection
991:stellated dodecaplex
1293:Regular 4-polytopes
649:Regular 4-polytopes
584:Discussion on names
556:Klitzing, Richard.
409:
329:pentagonal polytope
843:stellated 120-cell
774:hecatonicosachoron
604:2022-12-17 at the
577:2003-09-06 at the
401:
302:John Horton Conway
300:. It was named by
292:It is one of four
34:list of references
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589:Reguläre Polytope
572:Regular polychora
550:978-1-56881-220-5
524:Regular Polytopes
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374:Related polytopes
317:great icosahedron
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520:H. S. M. Coxeter
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378:It has the same
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490:star polyhedron
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298:Ludwig Schläfli
287:Schläfli symbol
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92:Grand 600-cell
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38:related reading
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789:hexacosichoron
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538:John H. Conway
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353:line segments
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306:Arthur Cayley
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1248:expanding it
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495:Star polygon
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343:D polytope (
340:
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73:
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53:Please help
45:
898:icosahedral
889:great grand
841:great grand
834:icosahedral
747:4-orthoplex
714:pentachoron
508:Edmund Hess
390:, and same
59:introducing
1287:Categories
1240:4-polytope
777:dodecaplex
608: [
502:References
488:- regular
345:tetrahedra
333:simplectic
331:which has
260:Properties
175:{3,3,5/2}
935:icosaplex
882:stellated
873:stellated
850:stellated
792:tetraplex
729:tesseract
717:4-simplex
510:, (1883)
321:pentagram
907:600-cell
900:120-cell
891:120-cell
884:120-cell
875:120-cell
866:120-cell
859:120-cell
852:120-cell
836:120-cell
762:octaplex
702:600-cell
697:120-cell
602:Archived
575:Archived
470:See also
308:for the
271:geometry
263:Regular
150:Vertices
67:May 2023
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918:
786:{3,3,5}
771:{5,3,3}
756:{3,4,3}
741:{3,3,4}
726:{4,3,3}
711:{3,3,3}
692:24-cell
687:16-cell
394:as the
382:as the
164:{3,5/2}
55:improve
732:4-cube
682:8-cell
677:5-cell
661:Convex
548:
544:2008,
530:
386:, and
273:, the
1238:This
1184:{3,3,
1072:,3,5}
1028:{5,3,
988:,5,3}
960:,3,3}
916:{3,5,
905:grand
896:great
880:grand
871:great
864:grand
857:great
848:small
614:]
285:with
281:is a
142:Edges
134:1200
131:Faces
125:{3,3}
120:Cells
40:, or
1244:stub
818:Star
546:ISBN
528:ISBN
250:Dual
153:120
145:720
123:600
110:Type
1172:,5}
1156:{3,
1144:,3}
1128:{5,
1100:,5,
1016:,5}
1000:{5,
611:sic
437:/ B
427:/ D
423:/ B
405:by
337:n-1
277:or
269:In
245:,
136:{3}
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522:,
398:.
312:.
44:,
36:,
1275:e
1268:t
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1200:}
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1111:2
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1044:}
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641:e
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534:.
516:.
439:2
435:3
433:A
429:4
425:3
421:2
419:A
415:3
413:H
368:n
341:n
325:n
243:4
241:H
80:)
74:(
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65:(
51:.
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