A vintage style map of the Mandelbrot set

With the post on The Mathematical Beauty of Nature in a Coloring Book I have decided to write about other project on Kickstarter which are related to mathematics. I think we should support these projects and more people should know about them .

Today I will talk about a vintage style map of the Mandelbrot Set, you know how much I love fractals so you probably understand my excitement for this project. Bill Tavis is a full-time artist living in Austin, TX. He has been dedicated to making art on computers for more than a decade, and has been inspired by fractals since he was little. He has a hidden passion for mathematics:

I’ve been interested in fractals ever since I saw an article about them as a kid. I grew up excelling at math and appreciated fractals from that point of view. At some point later in my life, my inner emotions pushed me in the opposite direction to become an artist – eventually giving me an even deeper appreciation for fractals, which in turn gave me a renewed appetite for the science and math behind them.

With all these things in mind, he decided to do a poster which is both technically informative and aesthetically beautiful. He has started a funding campaign on Kickstarter with plenty of perks and suprises available to backers.

The poster is called the Mandelmap; it includes:

  • Several familiar locations labeled with their colloquial names, together with accompanying illustrations. Find the Dragon Valley, and see why it’s named that way.
  • Hundreds of bulbs labeled according to period numbers. Count to infinity by even numbers, count to infinity by odd numbers, or even find the Fibonacci sequence! It’s all there in the period numbering.
  • Hundreds of external angles labeled according to how far around the set you are in a counter-clockwise direction. This maps the border of the Mandelbrot set to a circle.
  • Equipotential lines that show how fast points outside the Mandelbrot set escape to infinity under iteration of the equation.
  • Several high-quality zoomed-in renderings, with detailed information describing how to find similar locations.
  • Julia Medallions, and where to find them. The medallions correspond to Julia sets, which are very closely related fractals that use the same equation but in a slightly different way.
  • A clear and practical description for how to use the formula that defines the Mandelbrot set.

To give you a small taste of all his works, here are a couple of images:


Absolutely incredible, show it so love on Kickstarter if you like the idea.

Have a great weekend.  You can find me on Facebook,  Tumblr,  Google+,  Twitter,  Instagram  and  WeHeartIt. I will try to post there as often as possible.

Don’t forget that maths is everywhere! Enjoy! ~LThMath 


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