tetrakaidecagons

A tetrakaidecagon is a polygon with fourteen sides and fourteen vertices. The name is derived from the Greek words "tetra" meaning four, "kaideka" meaning ten, and "gonia" meaning angle. In Euclidean geometry, a regular tetrakaidecagon has sides of equal length and interior angles of equal measure. The sum of the interior angles of any tetrakaidecagon, regardless of regularity, is 2160 degrees. For a regular tetrakaidecagon, each interior angle measures 154.2857 degrees. The area of a regular tetrakaidecagon with side length 'a' can be calculated using the formula A = (7/2) * a^2 * cot(pi/14). While the concept of a tetrakaidecagon exists mathematically, it is not as commonly encountered in everyday life or architecture as polygons with fewer sides, such as squares or hexagons. However, it can be observed in certain crystalline structures or abstract geometric designs.