Snúningssamhverfa

Snúningssamhverfa refers to rotational symmetry in Icelandic. It describes the property of a shape or object that remains unchanged after a rotation by a certain angle around a central point. For example, a square possesses rotational symmetry because it looks the same after rotations of 90, 180, and 270 degrees around its center. A circle has infinite rotational symmetry, as it appears identical after any degree of rotation. The degree of rotational symmetry is determined by the smallest angle of rotation required to achieve this state of sameness. An object with an order of rotational symmetry of 'n' will coincide with its original position 'n' times during a full 360-degree rotation. This concept is fundamental in geometry, art, and nature, appearing in snowflakes, propeller blades, and various abstract designs. Understanding snúningssamhverfa helps in analyzing the properties and aesthetic qualities of geometric forms and natural phenomena.