This document discusses fractals and their properties. It introduces fractals as a relatively new field of mathematics pioneered by Benoit Mandelbrot in the 1970s. Fractals exhibit self-similarity, where parts resemble the whole, and are found everywhere in nature, such as in coastlines, mountains, and trees. Famous artists like M.C. Escher incorporated fractals into their drawings. The Mobius strip, an example of a one-sided surface, is also discussed along with its discoverer and applications.