unducentagon

An unducentagon is a polygon with 100 sides. The term itself is derived from Latin, with "undecim" meaning eleven and "centum" meaning hundred, though the literal translation of "eleven hundred" does not accurately reflect the number of sides. Instead, it is formed by combining the prefixes for 100. In geometry, polygons are classified by their number of sides, and an unducentagon is simply the name given to a shape that possesses one hundred edges and one hundred vertices.

Like any polygon, an unducentagon has a specific interior angle sum. This sum can be calculated using the formula (n-2) * 180 degrees, where 'n' represents the number of sides. For an unducentagon, this would be (100-2) * 180 = 98 * 180 = 17,640 degrees. If the unducentagon is regular, meaning all its sides and angles are equal, then each interior angle would measure 17,640 / 100 = 176.4 degrees.

The construction of an unducentagon is theoretically possible but practically challenging. Its visual complexity makes it difficult to distinguish from polygons with slightly fewer or more sides without precise measurement. While not a commonly encountered shape in everyday life or many practical applications, the unducentagon exists as a valid geometric entity within the classification of polygons. Its properties are governed by the fundamental rules of Euclidean geometry.