Curl in Chains

[element90]

A spiral from the blunt end of a Mandelbrot island in the fractal generated using:

z = c((z^3)/2 + 1/(2*z^3))

[Pauldelbrot]

[Apophyster]

I tried your formula in Fractal Explorer (Sirotinsky) and I've never seen a formula produce that type of fractal.
But I'm a novice with formulas so I guess that may not mean too much.

I almost (read: did) forget my manners.
Thank you for posting the formula(s) you've posted.

Fred