Fractal Geometry and Chaos Theory Unraveling the Complexity of Natural Phenomena

Abstract

Scientific research of naturally occurring complex structures depends on fractal geometry in combination with chaos theory. The primary fractal geometry components used by scientists for studying irregular natural shapes consist of metrical self-similarities. At the same time chaos theory describes how an unpredictable system retains aspects of systematic ordering. The document first investigates the link between fractals and chaos theory after which it divides their methods for analyzing complicated natural processes by detailing their fundamental aspects together with implementation procedures with practical uses.