Take a look at the two small monotone Mandelbrot fractal sets below. They are identical – apart from the fact that the set on the left is aliased and the set on the right is anti-aliased. When fractal images are aliased – they look scratchy and you can see a lot of noise over the... Read More »

On Saturday the academic world mourns the end of the life one of one of the most brilliant mathematicians known. Benoit B. Mandelbrot, the inventor of “fratal geometry” died of pancreatic cancer in Cambridge on Thursday, his family said. He was 85. An insightful teacher, Mr. Mandlebrot brought The Mandlebrot Set to the public so... Read More »

In 1903, French mathematician Henri Poincare introduced the notions of chaos theory while studying the famous three-body problem. The three body problem required a prediction of the movement of a simplified solar system consisting of the sun, moon and earth governed by the Newtonian laws of motion. Poincare found out that even a system as... Read More »

So what is a “fractal”? And what do fractals tell us about the nature of truth? Begin by knowing that a fractal is one of the two kinds of geometry present in our world. And yes, no matter what people say, in our world, there are only two major categories of geometry. Fractal. And other... Read More »

After taking inspiration from miqel.com I thought I would spread the word about the different names for the different parts of the Mandelbrot set. The image below shows what different areas of the Mandelbrot set are called by many fractalists. You can click on the image to take a closer look. miqel.com is an amazing website that from my point... Read More »

Yes! this is the news that “Chinese dragon ferns on fire in ice” is being re released with a new sound track. Sign up to the newsletter now or our RSS feed to be one of the first to be notified when an animation goes live from... Read More »

This Image is Interactive! Click to Zoom!! Click to zoom, shift + click to zoom out. Command + drag or arrow keys to pan. m key to change mapping modes. a to set anti-aliasing. The Mandelbrot formula z’ = z2 + c is calculated for each pixel where its coordinates seed the a and b components of the... Read More »

fractalus.com A site dedicated to fractal art, information, and software. Artwork by Damien M. Jones, Sharon Webb, Alice Kelley, Linda Allison, Kerry Mitchell, Sylvie Gallet, and Margaret and Jack Valero are on display at the site; it is also the home for three fractal contests, various fractal programs, and the Infinite Fractal Loop. The Spanky... Read More »

The Mandelbrot set is one of the most famous of all fractals. It is named after the man who discovered it. Benoit Mandelbrot. I wish he was my granddad! He is one of the people who pioneered the exploration of fractals and other chaotic systems.The Mandelbrot set is a  fractal. What this means is that... Read More »

The Mandelbrot set is created using this formula. Z = Z x Z + C Z = (0 + 0i) C = (a + bi) Multiply Z by itself. Add C. The answer is the new value for Z. Repeat until the absolute value of Z is greater than two. So while it is probably... Read More »