Fractals

From crispyneurons

Fractals are objects, natural or artificial, exhibiting a broken or fractured shape. They is generated by a repeating pattern, usually a recursive or iterative process. This results in the principle feature of any fractal: self-similarity across scale. In other words, you can zoom in and out of fractals and a see similarity of pattern throughout.

This is a nanobrot.

Fractals are chaotic systems and are thus a component of chaos theory. I studied them in high school. They are a fine example of mathematical art. Check out the Mandelbrot Explorer if you want to make some of your own.

An edge of the Mandelbrot set.

A Julia set.

This is a snug close-up of the edge of the Mandelbrot set, reminiscent of bronchial tubes.

This is another nanobrot.

Yet another nanobrot. A Mandelbrot set has an infinite number of them.