nrotationssymmetri

Nrotationsymmetri, also known as rotational symmetry, is a concept in geometry and symmetry theory that describes the property of an object or pattern that remains unchanged when rotated by a certain angle. This angle is typically a fraction of a full rotation, often expressed as a fraction of 360 degrees or 2π radians. Rotational symmetry is characterized by the number of times the object can be rotated around a central point before it appears identical to its original orientation. This number is known as the order of rotational symmetry.

Objects with rotational symmetry can be found in various forms, including natural and man-made structures. For example, snowflakes exhibit sixfold rotational symmetry, while a regular hexagon has sixfold rotational symmetry as well. In mathematics, rotational symmetry is often studied in the context of geometric shapes, tiling patterns, and fractals. The concept is fundamental in fields such as crystallography, where it helps in understanding the structure of crystals, and in art and design, where it is used to create aesthetically pleasing patterns and forms.