From Nordan Symposia
Jump to navigationJump to search



In geometry, a 'cube 'is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron. The cube is dual to the 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 Square2.jpg.[1]