bisymmetry

Bisymmetry is a mathematical property where an object possesses two distinct axes of symmetry. This means that if the object is reflected across the first axis, it remains unchanged, and similarly, if it is reflected across the second axis, it also remains unchanged. These two axes of symmetry are independent of each other and can intersect at any angle. A common example of a bisymmetric object is a rectangle, which has two axes of symmetry that are perpendicular to each other, passing through the midpoints of opposite sides. A square is also bisymmetric, possessing two perpendicular axes of symmetry. However, a circle, while having infinite axes of symmetry, is not considered bisymmetric in the context of having exactly two distinct axes. The concept of bisymmetry is often encountered in geometry, particularly when classifying shapes and understanding their rotational and reflectional symmetries. It is a subset of more general symmetry groups. The arrangement of atoms in certain crystal structures or the patterns in nature can also exhibit bisymmetry.