Sequence Fractals Introduction #2


z^2+c+s_i where s_i is a two cycle sequence.

There are many ways to combine sequences and fractals. When I started on this adventure I made a list of several methods to investigate. z^2+c+s_i probably qualifies as the simplest way to incorporate a sequence. Also a two-cycle sequence, (two repeating numbers a,b,a,b,a,b…) is perhaps the simplest non-trivial sequence.

Already with this simple setup, it is clear that we are not looking at your father’s Mandelbrot set.

I think it is obvious, but just in case. s_i is the ith number in the sequence. The ith step in the fractal calculation is z \leftarrow z^2+c+s_i

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