icosikaioctagonal

An icosikaioctagonal, also known as a 28-gonal, is a polygon with 28 sides and 28 vertices. In geometry, a polygon is a closed shape made up of straight line segments. The number of sides determines the name and properties of the polygon.

The sum of the interior angles of any icosikaioctagonal can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For an icosikaioctagonal, this sum is (28-2) * 180 = 26 * 180 = 4680 degrees. If the icosikaioctagonal is regular, meaning all sides and angles are equal, each interior angle would measure 4680 / 28 = 167.14 degrees.

The number of diagonals in an icosikaioctagonal can be found using the formula n(n-3)/2, where n is the number of sides. For an icosikaioctagonal, this is 28(28-3)/2 = 28 * 25 / 2 = 14 * 25 = 350 diagonals.

The term "icosikaioctagonal" is derived from Greek roots. "Ikos" meaning twenty, "kaideka" meaning sixteen, and "gonia" meaning angle, thus combining to mean twenty-six, though the modern convention uses prefixes that sum directly, making "icosi" for twenty and "okto" for eight, leading to the 28-gon. This naming convention is consistent with other polygons, such as the hexagon (6 sides) and octagon (8 sides).