twelveangled

Twelveangled is an adjective used to describe something that has twelve angles. In formal geometry, the term is uncommon; a figure with twelve sides is typically called a dodecagon, a polygon with twelve vertices and twelve interior angles. The concept can also be described informally as twelveangled in non-technical writing, but the standard vocabulary remains dodecagon.

For any polygon with twelve sides, the sum of interior angles is (12−2)×180 = 1800 degrees. In a regular twelveangled polygon, all interior angles are equal, measuring 150 degrees, and all exterior angles are 30 degrees. A twelveangled figure can be convex or concave; in either case, if the polygon is simple (non-self-intersecting), the total interior angle sum is 1800 degrees.

In practice, twelveangled shapes appear in geometry, art, and design. The term twelveangled is largely descriptive and is more likely to be found in informal writing or pattern descriptions than in formal mathematical treatment. Regular dodecagons, for example, are common in decorative motifs and can appear in tessellations when combined with other polygons.

See also: dodecagon, polygon, geometry.