Polyominoes

Polyominoes are shapes made by connecting equal-sized squares edge-to-edge in various arrangements. They are a type of geometric puzzle piece, similar to Tetris blocks. Each polyomino consists of a specific number of squares, all joined without gaps or overlaps. Mathematicians study polyominoes to explore patterns, tiling, and combinatorial properties. They can be categorized by the number of squares involved, such as dominoes (2 squares) or tetrominoes (4 squares). Polyominoes are used in recreational puzzles, game design, and mathematical research, illustrating how simple building blocks can create complex, interesting shapes.