Sequence Fractals Part V #1

382.jpg

z^{s_i}+c
si = 2, 3, … (two step repeating)
Center:0+0i; Zoom = 0.4

Sequence Fractals Part V will feature formulas where the exponent of z contains the sequence variable. As before, we will start gently, then go crazy.

Here is the simplest such formula, the sequence variable replaced the exponent 2 in the normal quadratic formula. Ironically, this form did not occur to me until I tried several others, and then started to prepare posts for the blog. So the blog will not be following the same path as my personal journey through the exponents.

Today’s sequence consists of two repeating integers. The result is similar to the previous Sequence Fractal sets. As long as we stick with positive integers in the sequence, each iteration is a polynomial function.

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