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From Nordan Symposia
Jump to navigationJump to searchCreated page with 'File:lighterstill.jpg In geometry, a '''cube'''is a three-dimensional solid object bounded by six [http://en.wikipedia.org/wiki/Square_(geometry) square] faces, [[facets...'
[[File:lighterstill.jpg]]
In geometry, a '''cube'''is a three-[[dimensional]] solid object bounded by six [http://en.wikipedia.org/wiki/Square_(geometry) square] faces, [[facets]] or sides, with three meeting at each [http://en.wiktionary.org/wiki/vertex vertex]. The cube can also be called a regular [http://en.wikipedia.org/wiki/Hexahedron hexahedron] and is one of the five [http://en.wikipedia.org/wiki/Platonic_solid Platonic solids]. It is a special kind of square [http://en.wikipedia.org/wiki/Prism_(geometry) prism], of rectangular [http://en.wikipedia.org/wiki/Parallelepiped parallelepiped] and of [http://en.wikipedia.org/wiki/Trigonal_trapezohedron trigonal trapezohedron]. The cube is dual to the [http://en.wikipedia.org/wiki/Octahedron octahedron]. It has cubical [[symmetry]] (also called octahedral symmetry).
A cube is the three-dimensional case of the more general concept of a hypercube.
It has 11 nets. If one were to [[color]] the cube so that no two adjacent faces had the same colour, one would need 3 colours.
If the original cube has edge length 1, its dual [[octahedron]] has edge length [[File:Square2.jpg]].
[[Category: Mathematics]]
In geometry, a '''cube'''is a three-[[dimensional]] solid object bounded by six [http://en.wikipedia.org/wiki/Square_(geometry) square] faces, [[facets]] or sides, with three meeting at each [http://en.wiktionary.org/wiki/vertex vertex]. The cube can also be called a regular [http://en.wikipedia.org/wiki/Hexahedron hexahedron] and is one of the five [http://en.wikipedia.org/wiki/Platonic_solid Platonic solids]. It is a special kind of square [http://en.wikipedia.org/wiki/Prism_(geometry) prism], of rectangular [http://en.wikipedia.org/wiki/Parallelepiped parallelepiped] and of [http://en.wikipedia.org/wiki/Trigonal_trapezohedron trigonal trapezohedron]. The cube is dual to the [http://en.wikipedia.org/wiki/Octahedron octahedron]. It has cubical [[symmetry]] (also called octahedral symmetry).
A cube is the three-dimensional case of the more general concept of a hypercube.
It has 11 nets. If one were to [[color]] the cube so that no two adjacent faces had the same colour, one would need 3 colours.
If the original cube has edge length 1, its dual [[octahedron]] has edge length [[File:Square2.jpg]].
[[Category: Mathematics]]
