Great hexagonal hexecontahedron
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378:. They have two long edges, two of medium length and two short ones. If the long edges have length
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344:{\displaystyle 360^{\circ }-\arccos(-\phi ^{-1})\approx 231.827\,292\,372\,99^{\circ }}
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261:{\displaystyle \arccos(-\phi ^{-1})\approx 128.172\,707\,627\,01^{\circ }}
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515:{\displaystyle 1-\phi ^{-3/2}\approx 0.514\,131\,728\,24}
453:{\displaystyle 1+\phi ^{-3/2}\approx 1.485\,868\,271\,76}
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174:The faces are nonconvex hexagons. Denoting the
166:, as its dual has coplanar pentagrammic faces.
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124:3D model of a great hexagonal hexecontahedron
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642:. You can help Knowledge (XXG) by
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608:"Great hexagonal hexecontahedron"
198:, the hexagons have one angle of
156:great snub dodecicosidodecahedron
111:Great snub dodecicosidodecahedron
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22:Great hexagonal hexecontahedron
138:great astroid ditriacontahedron
134:great hexagonal hexecontahedron
398:, the medium ones have length
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546:{\displaystyle 90^{\circ }}
371:{\displaystyle 90^{\circ }}
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572:Cambridge University Press
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16:Polyhedron with 60 faces
689:Dual uniform polyhedra
638:-related article is a
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75:= 104 (χ = −16)
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191:{\displaystyle \phi }
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605:Weisstein, Eric W.
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158:. It is partially
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581:978-0-521-54325-5
564:Wenninger, Magnus
391:{\displaystyle 2}
140:) is a nonconvex
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694:Polyhedron stubs
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91:Index references
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106:dual polyhedron
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40:Star polyhedron
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524:dihedral angle
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81:Symmetry group
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644:expanding it
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176:golden ratio
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147:. It is the
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568:Dual Models
170:Proportions
683:Categories
636:polyhedron
557:References
160:degenerate
145:polyhedron
613:MathWorld
539:∘
495:≈
479:−
475:ϕ
471:−
433:≈
417:−
413:ϕ
364:∘
337:∘
317:≈
306:−
302:ϕ
298:−
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281:∘
268:, one of
254:∘
234:≈
223:−
219:ϕ
215:−
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186:ϕ
142:isohedral
85:I, , 532
566:(1983),
164:vertices
130:geometry
59:Elements
590:0730208
526:equals
320:231.827
237:128.172
153:uniform
151:of the
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522:. The
289:arccos
206:arccos
132:, the
66:= 60,
634:This
498:0.514
436:1.485
70:= 180
640:stub
576:ISBN
149:dual
136:(or
46:Face
36:Type
506:728
502:131
444:271
440:868
328:372
324:292
277:360
245:627
241:707
178:by
128:In
685::
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586:MR
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73:V
68:E
64:F
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