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Example of Hexagon

A hexagon is a symmetrically shaped, two dimensional six sided polygon having identical angles on each plane . The hexagonal formula is often used in engineering, architecture, geometry, and board gaming as a simple but reliable structure. In many dice games, the six sides are equated to the roll of a dice, giving direction for movement in the game. The sum of the angles on a hexagon is 720 degrees, 6 x 120.

Examples of Hexagon:

Allen keys and their matching sockets are hexagonal for better leverage.

This shape also exists in natural forms:

The six sided multiple lenses of the eyes of insects
Ice crystals
Beehive cells
http://en.wikipedia.org/wiki/Hexagon
http://www.comm.toronto.edu/~frank/hexagon/proof.html
http://simple.wikipedia.org/wiki/Hexagon

Image Example of Hexagon:

Hexagonal floor tesselations (in Rome).

Regular hexagon.