Penrose tiling is a non-periodic tiling pattern created by mathematician Roger Penrose in the 1970s. It uses a set of shapes, typically two types of rhombuses, to cover a surface without repeating the same pattern. This unique arrangement allows for an infinite number of configurations while maintaining a specific set of rules. The most notable feature of Penrose tiling is its aperiodicity, meaning it does not repeat itself in a regular way. This property has implications in various fields, including mathematics, physics, and art, as it challenges traditional concepts of symmetry and periodicity in tiling and patterns.