Compound of cube and octahedron: Difference between revisions

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include intersection and convex hull
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!bgcolor=#e7dcc3 colspan=2|Compound of cube and octahedron
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|align=center colspan=2|[[ImageFile:Polyhedron pair 6-8Compound_of_cube_and_octahedron.png|230px]]
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|bgcolor=#e7dcc3|Type||[[Polyhedral compound|Compound]]
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|bgcolor=#e7dcc3|[[Symmetry group]]||[[Octahedral symmetry|octahedral]] (''O''<sub>''h''</sub>)
|}
 
This polyhedron can be seen as either a polyhedral [[stellation]] or a [[Polyhedron compound|compound]].
 
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{|
|- style="vertical-align: top;"
{{multiple image
| align = left | total_width = 460
| image2 = Polyhedron 6.png |width2=1|height2=1
| image3 = Polyhedron 8.png |width3=1|height3=1
| footer = A cube and its [[dual polyhedron|dual]] octahedron
}}
|
{{multiple image
| align = left | total_width = 460320
| image2 = Polyhedron 6-8 blue.png |width2=1|height2=1
| image3 = Polyhedron 6-8 dual blue.png |width3=1|height3=1
| footer = The intersection of both solids is the [[cuboctahedron]], and their [[convex hull]] is the [[rhombic dodecahedron]].
}}
{{multiple image
| align = left | total_width = 460320
| image2 = Polyhedron 6.png |width2=1|height2=1
| image3 = Polyhedron 8.png |width3=1|height3=1
| footer = A cube and its [[dual polyhedron|dual]] octahedron
}}
|}
 
{|
|- style="vertical-align: top;"
{{multiple image
| align = left | total_width = 700480
| image2 = Polyhedron pair 6-8 from blue.png |width2=1|height2=1
| image3 = Polyhedron pair 6-8 from green.png |width3=1|height3=1
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| footer = Seen from 2-fold, 3-fold and 4-fold symmetry axes
}}
{{multiple image
| align = right | total_width = 320
[[File:Polyhedron small rhombi 6-8 dual max.png|thumb|If the edge crossings were vertices, the [[Spherical polyhedron|mapping on a sphere]] would be the same as that of a [[deltoidal icositetrahedron]].]]
| image2 = Polyhedron pair 6-8.png |width2=1|height2=1
|}
| image3 = Polyhedron small rhombi 6-8 dual max.png |width3=1|height3=1
 
[[File:Polyhedron | smallfooter rhombi= 6-8 dual max.png|thumb|If the edge crossings were vertices, the [[Spherical polyhedron|mapping on a sphere]] would be the same as that of a [[deltoidal icositetrahedron]].]]
{{-}}
|}}
 
== As a stellation ==