Mathematical patterns are regularities or sequences that can be observed in numbers, shapes, or other mathematical concepts. These patterns can be simple, like counting by twos or threes, or more complex, such as the Fibonacci sequence, where each number is the sum of the two preceding ones. Recognizing these patterns helps in problem-solving and understanding mathematical relationships. Patterns can also be found in geometry, such as symmetry and tessellations. For example, M.C. Escher is known for his intricate designs that showcase repeating patterns. Identifying and analyzing these patterns is essential in various fields, including science, art, and computer programming.