Tiling problems involve covering a surface with tiles without overlaps or gaps. These problems can be mathematical puzzles or practical challenges in areas like architecture and design. Common types include using specific shapes, such as dominoes or polyominoes, to fill a given area completely. In mathematics, tiling problems often explore the arrangements and combinations of tiles. They can be used to study combinatorics and geometry, helping to understand how different shapes interact. Solutions to these problems can reveal patterns and lead to insights in both theoretical and applied contexts.