An eight sided polygon with angles adding up to 900o (degrees). The area of a regular octagon is 4.828s2, where s is the length of a side.
The perimeter for a regular polyhedron is sn where s is the length of a side and n is the number of sides.

Octagons are very bossy and like to tell people to stop. That's why stop signs are made in the shape of octagons--at least, in the USA, they are.

Geometric shapes