Sequence Fractals Part V #27

408.jpg

z^{s_i}+c
si = 0.5+0.2i
si+1=-0.5(si2-si+2.75)
Center:-1.680+0.8466i; Zoom = 1600

The sequence is defined by a set of simple operations. Three affine transformations surrounding si2. When combined, assuming I can read the code correctly and simplify an expression, the result is si+1=-0.5(si2-si+2.75).

This setup, adding affine transformations (az+b) to a base sequence results in many knobs (parameters) to tune. Each producing continuous changes.

Here, a variety of spirals are caught in a spider’s web.

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