tiling problem

A tiling problem involves determining whether a given shape or region can be completely covered without gaps or overlaps using a set of smaller shapes, called tiles. The challenge is to figure out if there's a way to arrange these tiles so that they fill the entire space precisely. This problem is significant in mathematics and computer science because it relates to tasks like pattern design, resource allocation, and understanding spatial organization. Some tiling problems are straightforward, while others are complex and can be used to prove concepts like computational difficulty.