duoquinquagintagonal

Duoquinquagintagonal refers to a polygon with 52 sides. The term is derived from Latin roots: "duo" meaning two, "quinquaginta" meaning fifty, and "gonal" meaning angled. Therefore, a duoquinquagintagonal polygon has a total of fifty-two angles.

In geometry, a regular duoquinquagintagonal polygon has all sides of equal length and all interior angles of equal measure. The measure of each interior angle in a regular duoquinquagintagonal polygon can be calculated using the formula: (n-2) * 180 / n, where n is the number of sides. For a duoquinquagintagonal polygon, n = 52, so each interior angle measures (52-2) * 180 / 52 = 50 * 180 / 52 = 9000 / 52, which simplifies to approximately 173.077 degrees. The sum of the interior angles of any duoquinquagintagonal polygon, regular or irregular, is always (52-2) * 180 = 50 * 180 = 9000 degrees.

The number of diagonals in a duoquinquagintagonal polygon can be found using the formula n * (n-3) / 2. For a 52-sided polygon, this would be 52 * (52-3) / 2 = 52 * 49 / 2 = 1274 diagonals. Duoquinquagintagonal shapes are rarely encountered in practical applications due to their complexity and the difficulty in constructing or visualizing them precisely.