Self-Similar Structures

Self-similar structures are patterns or shapes that look the same at different scales or levels of magnification. When you zoom in or out, the overall pattern or form remains consistent, revealing similar features regardless of size. An example is a fern leaf or a coastline, where smaller parts resemble the whole. This property appears in nature, mathematics, and art, illustrating how complex forms can arise from simple, repeating principles. Self-similarity helps us understand the organization of natural objects and the mathematics behind fractals, which are infinitely detailed patterns built from repeating self-similar units.