hexacontagonal

Hexacontagonal refers to a shape or object that has sixty sides. In geometry, this most commonly applies to a hexacontagon, which is a polygon with 60 edges and 60 vertices. The sum of the interior angles of a hexacontagon is (60-2) * 180 degrees, which equals 9720 degrees. If the hexacontagon is regular, meaning all sides and angles are equal, then each interior angle measures 9720 / 60 = 162 degrees. A regular hexacontagon can be constructed using a compass and straightedge, as 60 is a composite number with factors that include powers of two and distinct Fermat primes (3, 5, 17, 257, 65537). The number of diagonals in a hexacontagon is calculated using the formula n(n-3)/2, where n is the number of sides. For a hexacontagon, this would be 60(60-3)/2 = 60 * 57 / 2 = 1710 diagonals. The term hexacontagonal can also be used in other contexts to describe anything having sixty angles or related properties.