Nrotationsymmetri

Nrotationssymmetri, often translated as n-fold rotational symmetry, describes the property of an object that looks identical after being rotated by an angle of 360 degrees divided by n. The integer 'n' represents the order of the symmetry. For instance, an object with 4-fold rotational symmetry (n=4) will appear the same after rotations of 90 degrees (360/4). A square possesses 4-fold rotational symmetry. A circle has infinite rotational symmetry, as it looks identical after any rotation. Objects with 1-fold rotational symmetry are those that only appear the same after a full 360-degree rotation, which is true for all objects and therefore not considered a true symmetry. Common examples include a starfish which often exhibits 5-fold rotational symmetry, or a snowflake with typically 6-fold rotational symmetry. This concept is fundamental in geometry, crystallography, and various fields of science and art where the shape and arrangement of objects are analyzed.