Self-similarity
Self-similarity refers to the phenomenon where a pattern or structure is repeated at different scales, exhibiting similar characteristics and properties at each level. This concept is observed in various fields, including Fractals, Geometry, and Biology. In Fractals, self-similarity is a fundamental property, where a shape is composed of smaller copies of itself, such as the Sierpinski Triangle or the Mandelbrot Set. In Biology, self-similarity is seen in the structure of Trees, Rivers, and Coastlines, where the same patterns are repeated at different scales. Self-similarity is also related to Scaling Laws and Power Laws, which describe how properties change with size or scale.