Symmetrioryhmä
Symmetrioryhmä is a Finnish term that translates to "symmetry group" in English. It is a fundamental concept in mathematics, particularly in group theory and geometry, used to describe the symmetries of an object. A symmetry group is the set of all transformations that leave an object unchanged. These transformations can include rotations, reflections, and translations. The composition of these transformations forms a group structure, meaning it adheres to specific mathematical properties like closure, associativity, the existence of an identity element, and the existence of inverse elements.
For example, the symmetry group of a square consists of four rotations (0, 90, 180, and 270