Sequence Fractals Part IV #1

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z^2+c*s_i
si = 1, 2, … (two step repeating)
Center:-0.5+0i; Zoom = 1

Now, on to Sequence Fractals, Part IV. Next up, I want to experiment with different ways to incorporate the sequence into the basic fractal formula. Here, the parameter c is multiplied by the sequence step, si.

As before, let’s start with baby steps, simple two step sequences.

If two steps of the iteration are combined we get a quartic polynomial. This are some similarities to the earlier case Sequence Fractals Part I #1 of z2+c+si with a two-step sequence, which also gave rise to quartic polynomials.

As in the earlier case, 0, our starting z value, is a critical point.

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