Sequence Fractals Part IV #26

374.jpg

z^2+c*s_i
s0=0.3, si+1=(-0.5+0.25i)*si2+(1.2+0.5i)
Center:0+0i; Zoom = 0.5

Some more playing around with complex parameters in the a*si2+b sequence generator.

I have not investigated the long term behavior of this sequence. Given the large capture set and Mandlebrot-like right side, I suspect it the sequence converges to very short cycle, most likely a single point.

A couple of zooms to follow.

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