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image Fractals renders as you move and pinch to explore Mandelbrot and Julia set fractals in real-time!
Available on the App Store
Select multiple fractal equations and enter your own values for Julia sets.  Save fractals to your photos to share with friends and collect them in your Fractals album!

Fractals Designed for iPad, iPhone and iPod Touch

iPhone and iPod Touch

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iPad

Fractals

Reviews Reviews
5-Star user reviews from iTunes!
"The Thumbprint Of God" by Earl C Grey Stars
"That was the term Arthur C Clark used when referring to The 'M' Set, insomuch that one can see all kinds of various natural forms in this simple equation. Perhaps it's the formula used by nature herself when creating coral reefs, seahorses, elephants, ferns, and the plethora of familiar organic shapes revealed in a Mandelbrot zoom. This app is fantastic! The colors: Vibrant. The zooms go into infinity. None of the 'crashes' one experiences in some of the lesser fractal generators out there. I LOVE it! My favorite iPad app so-far."

Update is perfect! by Emppu66 Stars
"Thank you for working out so many kinks! Zoom is so much better and detail is improved! I love fractals and the improvements made this the perfect fractal app!"

Worth it by COB Masters  Stars
"This app is absolutely amazing. It has intuative controls and runs smoothly. Worth 3 dollars and is the best fractal app out there."


What are fractals?

Fractals are a geometric patterns that repeat themselves at smaller scales to produce self-similar irregular shapes and that cannot be represented by classical Euclidian geometry.

image   For instance, take this classic Mandelbrot set z^2+c.  When you zoom in on smaller areas you will see the same basic shape repeating itself.  As you explore different fractals you will discover many repeating shapes.

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The mathematics behind fractals had been explored as early as the 17th century, but they could not be visualized until the advent of computer technology due to the calculation intensive nature of plotting fractals.

The word fractal was originally coined by the Benoit B. Mandelbrot in 1975 and is derived from the Latin word fractus meaning broken or fractured. Mandelbrot was the first to plot fractals using computers while he was working at IBM. His work with fractals was based on the earlier work of many other mathematicians including Gaston Julia.

There are also many objects in nature that have the self-similar properties of fractals such as snow flakes, crystals, lightning, river networks, systems of blood vessels and even mountain ranges.

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