Difference between revisions of "Icosahedron"
(New page: An '''icosahedron''' is any polyhedron with twenty faces. In fact, the term is almost always used to refer specifically to a polyhedron with twenty triangular faces...) |
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An '''icosahedron''' is any [[polyhedron]] with twenty [[face]]s. In fact, the term is almost always used to refer specifically to a polyhedron with twenty [[triangle | triangular]] faces, and modifying words or alternate terminology are used to refer to other twenty-sided polyhedra, as in the case of the [[rhombic icosahedron]]. | An '''icosahedron''' is any [[polyhedron]] with twenty [[face]]s. In fact, the term is almost always used to refer specifically to a polyhedron with twenty [[triangle | triangular]] faces, and modifying words or alternate terminology are used to refer to other twenty-sided polyhedra, as in the case of the [[rhombic icosahedron]]. | ||
| − | The [[regular icosahedron]] is one of the five [[Platonic solid]]s: its faces are all [[equilateral]] [[triangle]]s. It has twenty [[vertex | vertices]] and thirty [[edge]]s. Five faces meet at each vertex. It is [[ | + | The [[regular icosahedron]] is one of the five [[Platonic solid]]s: its faces are all [[equilateral]] [[triangle]]s. It has twenty [[vertex | vertices]] and thirty [[edge]]s. Five faces meet at each vertex. It is [[Platonic_solid#Duality | dual]] to the [[regular dodecahedron]]. |
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| + | A soccer ball is an example of an icosahedron with the vertices flattened into pentagonal faces. | ||
==See Also== | ==See Also== | ||
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[[Category:Geometry]] | [[Category:Geometry]] | ||
| + | [[Category:Platonic solids]] | ||
Latest revision as of 12:01, 25 August 2019
An icosahedron is any polyhedron with twenty faces. In fact, the term is almost always used to refer specifically to a polyhedron with twenty triangular faces, and modifying words or alternate terminology are used to refer to other twenty-sided polyhedra, as in the case of the rhombic icosahedron.
The regular icosahedron is one of the five Platonic solids: its faces are all equilateral triangles. It has twenty vertices and thirty edges. Five faces meet at each vertex. It is dual to the regular dodecahedron.
A soccer ball is an example of an icosahedron with the vertices flattened into pentagonal faces.
See Also
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