Polygons are two-dimensional shapes with straight sides and angles. They can be regular, where all the sides and angles are equal, or irregular, with different lengths and angles. Examples of regular polygons include triangles, squares, and hexagons, while irregular ones can have any number of sides and angles. In mathematics, polygons are used to study properties of shapes, such as area, perimeter, and angles. They can also be used to study figures in the plane, such as circles, triangles, and rectangles. Polygons can also be used to create patterns and designs, which can be found in many works of art throughout the centuries. With their many uses, polygons are an important part of mathematics.