triacontagonal

Triacontagonal refers to something having thirty sides. This term is most commonly used in geometry, specifically when describing polygons. A triacontagon is a polygon with thirty edges and thirty vertices. Like any polygon, it can be regular or irregular. A regular triacontagon has all sides of equal length and all interior angles equal. The sum of the interior angles of any triacontagon, regardless of regularity, is calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For a triacontagon, this sum is (30-2) * 180 = 28 * 180 = 5040 degrees.

In a regular triacontagon, each interior angle measures 5040 / 30 = 168 degrees. The exterior angle of a regular triacontagon is 360 / 30 = 12 degrees. The number of diagonals in a triacontagon is found by the formula n(n-3)/2, which for n=30 is 30(30-3)/2 = 30 * 27 / 2 = 405 diagonals. The term "triacontagonal" can also be used in other contexts where a quantity or structure has thirty parts or aspects, though its primary association remains with geometric shapes.