Zwölfkantiges

Zwölfkantiges refers to something having twelve sides or twelve angles. This term is often used in geometry and mathematics to describe shapes. A dodecagon is a polygon with twelve sides and twelve angles. In a regular dodecagon, all sides are of equal length and all interior angles are equal. The sum of the interior angles of any dodecagon is 1980 degrees, and each interior angle of a regular dodecagon measures 165 degrees.

The term "zwölfkantiges" can also be applied to three-dimensional objects that exhibit twelve facets or surfaces, though this is less common than its use in describing polygons. For example, a dodecahedron is a polyhedron with twelve faces, each of which is a regular pentagon in the case of a regular dodecahedron. The concept of being zwölfkantiges highlights a specific geometric property of having twelve distinct linear or angular elements that define its structure.

In practical applications, shapes with twelve sides or angles might be encountered in various contexts. For instance, some nuts and bolts have a zwölfkantiges exterior, providing more points of contact for a wrench and thus better grip and torque transfer compared to simpler shapes. While the term itself is descriptive, its specific meaning depends on whether it is applied to a two-dimensional or three-dimensional object and whether that object is regular or irregular.