Fractals and the Koch Snowflake

Abstract

This paper will involve an investigation into Fractals, particularly the Koch Snowflake. The history of fractals, from Benoît Mandelbrot’s discovery in 1975 to the modern-day and future applications will be investigated. A proof will be shown for the Koch snowflake, whereby it is proved that a shape can have an infinite perimeter but a finite surface area. MATLAB will also be used in order to show visual representations of the Koch Snowflake.