 Regular Division of the Plane

The Regular Division of the Plane is a concept in mathematics, particularly in the field of geometry and art, that involves partitioning a two-dimensional space into regions of equal size and shape. The most common examples of regular divisions involve patterns created by repeating geometric shapes, such as squares, triangles, hexagons, or other polygons. These regular divisions can be created by translating, rotating, or reflecting shapes in the plane, allowing for a structured and often aesthetically pleasing arrangement.