mathematical tiling

Mathematical tiling refers to the arrangement of shapes, called tiles, to cover a surface without gaps or overlaps. This concept explores how various shapes fit together, such as squares, triangles, or more complex forms. Tiling can be found in art, architecture, and nature, and is often used to study patterns and symmetry. Some tiling arrangements, like tessellations, repeat infinitely, while others may be unique. Mathematicians analyze these patterns to understand spatial relationships, develop algorithms, and solve problems in areas such as computer graphics and material science.