Geometric studies by Leonardo da Vinci
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| + | [[Image:RhombicuboctahedronbyLeonardodaVinci.jpg|thumb|right|200px|[[Rhombicuboctahedron by Leonardo da Vinci]]]] | ||
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| - | In [[geometry]], the '''rhombicuboctahedron'''[http://commons.wikimedia.org/wiki/File:Leonardo_polyhedra.png], or '''small rhombicuboctahedron''', is an [[Archimedean solid]] with eight [[triangle|triangular]] and eighteen [[square (geometry)|square]] faces. There are 24 identical vertices, with one triangle and three squares meeting at each. Note that six of the squares only share vertices with the triangles while the other twelve share an edge. The [[polyhedron]] has [[octahedral symmetry]], like the [[Cube (geometry)|cube]] and [[octahedron]]. Its [[dual polyhedron|dual]] is called the [[deltoidal icositetrahedron]] or trapezoidal icositetrahedron, although its faces are not really true [[trapezoid]]s. | + | ''[[Geometric studies by Leonardo da Vinci]]''[http://commons.wikimedia.org/wiki/Category:Geometric_studies_by_Leonardo_da_Vinci] are a series of [[geometry|geometric studies]] by [[Leonardo da Vinci]]. |
| - | The name ''rhombicuboctahedron'' refers to the fact that 12 of the square faces lie in the same planes as the 12 faces of the [[rhombic dodecahedron]] which is dual to the [[cuboctahedron]]. ''Great rhombicuboctahedron'' is an alternative name for a [[truncated cuboctahedron]], whose faces are parallel to those of the (small) rhombicuboctahedron. | + | Many of these were published in ''[[De Divina Proportione]]'' by Luca Pacioli. |
| + | ==See also== | ||
| - | It can also be called an '''[[Expansion (geometry)|expanded]] cube''' or ''[[Cantellation (geometry)|cantellated]] cube'' or a ''cantellated octahedron'' from truncation operations of the [[uniform polyhedron]]. | + | *[[Icosidodecahedron by Leonardo da Vinci]] |
| - | + | *[[Geometry]] | |
| - | + | *[[Leonardo da Vinci]] | |
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| - | ==See also== | + | |
| - | *[[Geometric studies by Leonardo da Vinci]] | + | |
| - | *[[Cube (geometry)|Cube]] | + | |
| - | *[[Octahedron]] | + | |
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Geometric studies by Leonardo da Vinci[1] are a series of geometric studies by Leonardo da Vinci.
Many of these were published in De Divina Proportione by Luca Pacioli.
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See also
Unless indicated otherwise, the text in this article is either based on Wikipedia article "Geometric studies by Leonardo da Vinci" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic and friends. See Art and Popular Culture's copyright notice.
