Infinite structures refer to systems or patterns that extend indefinitely without a defined endpoint. These can be found in various fields, such as mathematics, where concepts like infinity and sets illustrate how elements can continue endlessly. For example, the set of natural numbers (1, 2, 3, ...) is an infinite structure because you can always add one more number. In geometry, infinite structures can appear in the form of lines or planes that stretch on forever. Similarly, in computer science, infinite loops in programming can create processes that repeat indefinitely. Understanding these structures helps in grasping complex concepts across different disciplines.