A cube is a three-dimensional shape with all its faces square
and all its edges equal in length. 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 3-sided trapezohedron. The cube is dual to the octahedron.
It has cubical symmetry (also called octahedral symmetry).