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Doodling in Math Class: Snakes + Graphs

Doodling in Math Class: Snakes + Graphs
Related:  Fractals and Tesselations

Fractal Tutorial Introduction - Amazing Seattle Fractals! How do you make fractals? Welcome to my fractal tutorial! How do you make fractals? This tutorial is designed to introduce you to the amazing world of fractal art. I will attempt to explain what a fractal is in layman terms, and then walk you through the process, step by step, getting you started in creating your own fractal art. Why I wrote this tutorial My first exposure to the "Wonderful World of Fractals"came in the fall of 1998 when a friend, Will, was showing some of the fractals he had created. This started me off on a search to find fractal programs so that I could try creating these incredible images myself. After having other people tell me they were having trouble figuring out the programs, I thought I would share what I have learned by creating this first tutorial. What is a fractal? First and foremost, I am NOT a mathematician, so this is my attempt to describe in layman terms what these incredible images are, and how to make them! What do I need to make fractals?

Semi-regular Tessellations Regular tessellations use identical regular polygons to fill the plane. The vertices of each polygon must coincide with the vertices of other polygons. You can produce exactly three regular tessellations: Can you convince yourself that there are no more? Semi-regular tessellations (or Archimedean tessellations) have two properties:They are formed by two or more types of regular polygon, each with the same side lengthEach vertex has the same pattern of polygons around it. Here are two examples: In the first, triangle, triangle, triangle, square, square {3, 3, 3, 4, 4} meet at each point. Can you find all the semi-regular tessellations? Can you show that you have found them all? To help you when you are working away from the computer, click below for multiple copies of the different polygons.