How to Find Natural Geometric Fractals

The Koch curve, Sierpinski gasket and Brownian motion trails are mathematical examples of geometric fractals. Taking a closer look at your surroundings reveals a plethora of natural geometric fractals. Before the modernization and practice of fractal geometry, natural shapes, such as mountains, were referred to as "rough cones" by typical Euclidean geometry.

Instructions

    • 1

      Imagine any and all structures that seem rough, fragmented and layered. Keep in mind geometric fractals can be extremely complex structurally. Brainstorm at least three different ideas and write them down for visual reference.

    • 2

      Narrow your brainstormed ideas to broad categories and focus on the primary physical characteristics of the item, structure or creature therein.

    • 3

      Consider the following examples of naturally occurring geometric fractals and determine other fractals through example: mountains, coastlines, volcanoes, extended relatives of the Nautilus (look for the fractal in the shell) and rivers.

    • 4

      Focus on the interconnected parts you notice of each naturally occurring geometric fractal.

    • 5

      Take pictures of the geometric fractals you find in your daily life and keep a portfolio for reference and feedback.

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