Cube

A cube is the 3-dimensional hypercube. It is also the only platonic solid that can perfectly tessellate space by itself in a honeycomb.
It has the Schläfli symbol , meaning that it is made of squares, three of which meet at each vertex. It can also be represented by the Schläfli symbols { \{ \} }^{ 3 } as it is the product of three line segments, \{ 4\} \times \{ \} as it is the product of a square and a line segment (in other words, a square-based prism) and t\{ 2,4\} as it is a truncated Square Hosohedron.
==Structure and sections===
The cube is composed of many squares stack on each other. It is composed of two parallel squares linked by a ring of four squares. Three squares join at each corner.
When viewed from a square face, it appears as a constant sized square. When viewed from an edge, it looks like a line expanding to a rectangle and back. Finally, when viewed from a corner, it is a point that expands into an equilateral triangle, then truncates to various hexagons, then goes back to a triangle (oriented the other way) which then shrinks.
=== Hypervolumes ===
* vertex count = 8
* edge length = 12l
* surface area = 6l^2
*surcell volume = l^3
=== Subfacets ===
*8 points (0D)
*12 line segments (1D)
*6 squares (2D)
=== See Also ===
Category:List of 3rd dimension
Category:Hypercube
Category:Rotatopes
Category:Polyhedra
Category:Regular polyhedra
Category:What the wiki once used to be