A Fractal in Parts   Leave a comment


This post is about a fractal produced using a quartic formula. Unlike the standard Mandelbrot it has 3 critical points instead of just one. One option is to produce three individual pictures using each of the critical points which is what Saturn and Titan can do, an other option is to produce a compound image using all three critical points which is what Neptune and Triton can do. I call the compound images produced by Neptune and Triton “multiple critical point fractals”.

A Multiple Critical Point Fractal

A Multiple Critical Point Fractal

The settings for this fractal is summarised by Triton:

Settings for A Multiple Critical Point Fractal

Settings for A Multiple Critical Point Fractal

The fractal is made up of three parts, each picture corresponds to a critical point. Saturn and Titan can be used to produce the individual pictures but the critical points have to be determined by hand. Neptune and Triton can also produce the individual parts as critical points can be ignored, Neptune has an advantage over Saturn as it automatically determines the critical points. In the summary there is a list of three critical points, the following three pictures correspond to each of those critical points in turn.

Part 1

Part 1

Part 2

Part 2

Part 3

Part 3

Instead of ignoring two out of the three critical points, ignoring just one produces:

Parts 1 and 3

Parts 1 and 3

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