5sided

5sided refers to a pentagonal shape, a polygon with five sides and five angles. In Euclidean geometry, a regular pentagon has five equal sides and five equal interior angles, each measuring 108 degrees. The sum of the interior angles of any pentagon, regular or irregular, is always 540 degrees.

The pentagon is a common shape found in nature and architecture. For example, the outline of the Pentagon building in the United States is a pentagon. In crystallography, some mineral structures can exhibit pentagonal symmetry. The geometric properties of pentagons, such as their area and perimeter, can be calculated using specific formulas.

The construction of a regular pentagon using only a compass and straightedge is a well-known geometric problem, first solved by Euclid. It is considered a constructible polygon. The golden ratio, often denoted by the Greek letter phi (φ), is intrinsically linked to the geometry of the regular pentagon. The ratio of a diagonal to a side in a regular pentagon is equal to the golden ratio.