Sequence Fractals Part I #2

229.jpg

z^2+c+s_i
si = 1, -1, 1, -1, …
Center:0+0i , Zoom = 1.

f(z_0,0)=z_0\ and\ f(z_0,-3) = z_0, in other words, z0 is a fixed point for c=0, -3. These are the centers of the two brots in the previous picture.

Here is a closer look at the shape centered at 0. It looks like a well-formed mset. The little disconnected snake-like satellites are about the only clue that this is not a normal Mandelbrot set. In the Mandelbrot set, all of the minis are connected by thin threads. Also notice that the shapes at 0 and -3 (off screen to the left) are not connected.

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