Great icosicosidodecahedron: Difference between revisions
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Related polyhedra with same vertex arrangement |
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{{Uniform polyhedra db|Uniform polyhedron stat table|gIID}} |
{{Uniform polyhedra db|Uniform polyhedron stat table|gIID}} |
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In [[geometry]], the '''great icosicosidodecahedron''' is a nonconvex [[uniform polyhedron]], indexed as U<sub>48</sub>. |
In [[geometry]], the '''great icosicosidodecahedron''' is a nonconvex [[uniform polyhedron]], indexed as U<sub>48</sub>. |
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== Related polyhedra == |
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It shares its [[vertex arrangement]] with the [[truncated dodecahedron]]. It additionally shares its [[edge arrangement]] with the [[great ditrigonal dodecicosidodecahedron]] and the [[great dodecicosahedron]]. |
It shares its [[vertex arrangement]] with the [[truncated dodecahedron]]. It additionally shares its [[edge arrangement]] with the [[great ditrigonal dodecicosidodecahedron]] and the [[great dodecicosahedron]]. |
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{| class="wikitable" width="400" style="vertical-align:top;text-align:center" |
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| [[Image:Truncated dodecahedron.png|100px]]<BR>[[Truncated dodecahedron]] |
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| [[Image:Great icosicosidodecahedron.png|100px]]<BR>[[Great icosicosidodecahedron]] |
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| [[Image:Great ditrigonal dodecicosidodecahedron.png|100px]]<BR>[[Great ditrigonal dodecicosidodecahedron]] |
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| [[Image:Great dodecicosahedron.png|100px]]<BR>[[Great dodecicosahedron]] |
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|} |
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== External links == |
== External links == |
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Revision as of 14:37, 5 September 2009
| Great icosicosidodecahedron | |
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| Type | Uniform star polyhedron |
| Elements | F = 52, E = 120 V = 60 (χ = −8) |
| Faces by sides | 20{3}+12{5}+20{6} |
| Coxeter diagram |    
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| Wythoff symbol | 3/2 5 | 3 3 5/4 | 3 |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U48, C62, W88 |
| Dual polyhedron | Great icosacronic hexecontahedron |
| Vertex figure |  5.6.3/2.6 |
| Bowers acronym | Giid |
In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48.
Related polyhedra
It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great ditrigonal dodecicosidodecahedron and the great dodecicosahedron.
 Truncated dodecahedron |
Great icosicosidodecahedron |
 Great ditrigonal dodecicosidodecahedron |
 Great dodecicosahedron |
External links
 | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |