Relaxing Repeating Fractal Zoom "Morning Coffee Dreams"

Fractal Morning Coffee Dreams.
Zooming in on a fractal.

A fractal is a never-ending pattern of repeat shapes. Fractals are self-similar at all distances. Fractals are created by repeating the same pattern over and over as you zoom in. You will see the same picture again and again. A structure within a structure in an infinite series. Fractals prove that a finite space, no matter its size, can contain an infinite number of parts or levels of observation.

Mandelbrots and Julia Sets:
Each point in the Mandelbrot set specifies a particular Julia set.
The Mandelbrot set includes a large cardioid (heart-shaped figure). The cardioid is studded with tangent circles all around its boundary. Those circles have smaller circles on them, and smaller circles on those to infinity. Besides the cardioid and all those circles, there are filaments leading off in infinitely many directions to little cardioids and their circles, called brotties.

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