Fractal Dimension: Koch Snowflake

Fractal Playlist: https://www.youtube.com/playlist?list=PL2V76rajvC1KGSP7OZYtuIvp-oZk4vz8h This video continues with the idea of fractal dimension by looking at the Koch Snowflake and solving an equation to find its dimension. The dimension of the Koch Snowflake is approximately 1.26. The dimension of fractals can be found by noticing a pattern while looking at simple self similar shapes (a line, a square, and a cube). Each shape is broken up into smaller shapes by a scaling factor which results in a greater number of smaller shapes. For example, breaking up the sides of a square into pieces that are 1/5 the size of the original side lengths results in 25 smaller squares. A relationship can be found between the scale factor, the number of pieces created, and the dimension of the shape. The equation generated from the above process can be used to find the dimension of fractals. EulersAcademy.org