Kesksümmeetria

Kesksümmeetria, also known as point symmetry or central symmetry, is a type of geometric symmetry in which an object is reflected through a single point. If an object possesses kesksümmeetria, it means that for every point on the object, there is a corresponding point on the opposite side of the center of symmetry, such that the center point is the midpoint of the line segment connecting these two points.

In essence, rotating an object with kesksümmeetria by 180 degrees around its center of symmetry will result in the object appearing unchanged. This means the object looks exactly the same after the rotation as it did before. The center of symmetry itself is a point that remains fixed under this transformation.

Examples of objects that exhibit kesksümmeetria include parallelograms (specifically rectangles, squares, and rhombuses), circles, ellipses, and certain letters of the alphabet such as H, I, N, O, S, X, and Z. In three-dimensional geometry, a sphere and a cube are examples of shapes with kesksümmeetria. The concept is fundamental in various areas of mathematics, including geometry, group theory, and crystallography.