Quinquasexagintagonal

Quinquasexagintagonal is a term used in geometry to describe a polygon with 65 sides and 65 angles. The prefix "quinquasexaginta-" is derived from Latin, where "quinquaginta" means 50 and "sex" means 6. Therefore, "quinquasexaginta" means 56, and when combined with "-gonal," it refers to a shape with 56 + 9 = 65 sides.

The internal angle of a regular quinquasexagintagonal can be calculated using the formula for the internal angle of a regular polygon, which is (n-2) * 180 / n, where n is the number of sides. For a quinquasexagintagonal, this would be (65-2) * 180 / 65 = 174.15 degrees. The external angle, which is the supplement of the internal angle, would be 180 - 174.15 = 5.85 degrees.

Quinquasexagintagonals are not commonly encountered in everyday life or practical applications, but they are of interest to mathematicians and geometers who study polygons with a large number of sides. They can be constructed using various methods, including compass and straightedge constructions or by using software tools for geometric design.

In art and design, quinquasexagintagonals can be used to create complex patterns and shapes, adding a unique aesthetic to visual compositions. They can also be used in architectural designs to create intricate facades or decorative elements.