Great icosicosidodecahedron: Difference between revisions
Content deleted Content added
OfficialURL (talk | contribs) Added 3D model, added citation. |
m (GR) File renamed: File:Great Icosicosidodecahedron (STL).stl → File:Great icosicosidodecahedron.stl Criterion 1 (original uploader’s request) · It's unnecessary to specify the file extension. |
||
| Line 1: | Line 1: | ||
{{Uniform polyhedra db|Uniform polyhedron stat table|gIID}} |
{{Uniform polyhedra db|Uniform polyhedron stat table|gIID}} |
||
[[File:Great |
[[File:Great icosicosidodecahedron.stl|thumb|3D model of a great icosicosidodecahedron]] |
||
In [[geometry]], the '''great icosicosidodecahedron''' (or '''great icosified icosidodecahedron''') is a [[nonconvex uniform polyhedron]], indexed as U<sub>48</sub>. It has 52 faces (20 [[Triangle|triangles]], 12 [[Pentagram|pentagrams]], and 20 [[Hexagon|hexagons]]), 120 edges, and 60 vertices.<ref>{{Cite web|url=https://www.mathconsult.ch/enwiki/static/unipoly/48.html|title=48: great icosicosidodecahedron|last=Maeder|first=Roman|date=|website=MathConsult|url-status=live|archive-url=|archive-date=|access-date=}}</ref> Its [[vertex figure]] is a [[quadrilateral#More quadrilaterals|crossed quadrilateral]]. |
In [[geometry]], the '''great icosicosidodecahedron''' (or '''great icosified icosidodecahedron''') is a [[nonconvex uniform polyhedron]], indexed as U<sub>48</sub>. It has 52 faces (20 [[Triangle|triangles]], 12 [[Pentagram|pentagrams]], and 20 [[Hexagon|hexagons]]), 120 edges, and 60 vertices.<ref>{{Cite web|url=https://www.mathconsult.ch/enwiki/static/unipoly/48.html|title=48: great icosicosidodecahedron|last=Maeder|first=Roman|date=|website=MathConsult|url-status=live|archive-url=|archive-date=|access-date=}}</ref> Its [[vertex figure]] is a [[quadrilateral#More quadrilaterals|crossed quadrilateral]]. |
||
Revision as of 03:56, 9 April 2020
| Great icosicosidodecahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 52, E = 120 V = 60 (χ = −8) |
| Faces by sides | 20{3}+12{5}+20{6} |
| Coxeter diagram |    
|
| 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 (or great icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U48. It has 52 faces (20 triangles, 12 pentagrams, and 20 hexagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
Related polyhedra
It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great ditrigonal dodecicosidodecahedron (having the triangular and pentagonal faces in common) and the great dodecicosahedron (having the hexagonal faces in common).
 Truncated dodecahedron |
Great icosicosidodecahedron |
 Great ditrigonal dodecicosidodecahedron |
 Great dodecicosahedron |
References
- ^ Maeder, Roman. "48: great icosicosidodecahedron". MathConsult.
{{cite web}}: CS1 maint: url-status (link)
External links
 | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |