Hexagons are six-sided polygons that are flat and have straight sides. Hexagons are often used in mathematics, particularly in geometry.
A hexagon can be both regular and irregular. A regular hexagon occurs when all of the angles are equal on all six sides of the hexagon. This creates the typical hexagon shape with six tiny corners all in exact proportion to one another. This shape can be seen in the honeycomb of bees. Each cell in a honeycomb is a perfect regular hexagon. The reason for this is that a hexagonal structure can create the most compact honeycomb. An irregular hexagon can be made in a number of different ways as long as the shape has six straight sides.
A hexagon can also be both concave or convex. A concave hexagon is made when any of the angles within the hexagon are greater than 180 degrees. A regular hexagon cannot be concave, as regular hexagons have interior angles of 120 degrees and exterior angles of 60 degrees. A convex hexagon cannot have any angles that are more than 180 degrees. Therefore, a regular hexagon is always a convex hexagon. All kinds of hexagons must be connected, meaning that all of the lines must connect so that the shape is closed. A shape with an opening is not a hexagon.