Fractals/Multibrot sets

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[edit] Inside dynamics under generalized power setting

A generalized 'Mandelbrot fractal' with complex power: (-1.5, 0). All points shown are on the "Inside" of the lake. The location shown is (-0.350262915827,-0.111522432559) at 820 times magnification, and the coloring is 'Exponential Smoothing'

The orbit dynamics inside the lake can become a lot more complex in certain areas when the power is something other than 2.0 (see image at right). The function can become multivalued and the exact structure of the dynamics is then affected by the 'arbitrary' choice of which value is chosen.