hectatetragon

A hectatetragon is a polygon with 400 sides. The prefix "hect-" signifies one hundred, and "tetra-" signifies four, so combined they represent four hundred. A polygon is a closed planar shape consisting of straight line segments connected end to end. The number of sides of a polygon determines its specific name.

In Euclidean geometry, a regular hectatetragon would have 400 equal sides and 400 equal interior angles. The sum of the interior angles of any polygon with n sides is given by the formula (n-2) * 180 degrees. For a hectatetragon, this sum would be (400-2) * 180 = 398 * 180 = 71640 degrees. In a regular hectatetragon, each interior angle would measure 71640 / 400 = 179.1 degrees.

The term "hectatetragon" is not commonly used in everyday mathematical discourse. Polygons with a very large number of sides are often referred to more generally as generalized polygons or are approximated by circles. While theoretically possible, constructing or visualizing a hectatetragon with precise geometric accuracy in a practical sense is extremely challenging due to the sheer number of sides. Its properties are primarily of theoretical interest in the study of geometry.