This appears to be an object/shape that's based a little on chaos theory.

This isn't exactly what you're looking for, but hey, it's New Year's Eve, and I did it in 5 minutes in Apophysis for Windows, free.

Click image for larger version.  Name: spiralish.jpg  Views: 585  Size: 39.4 KB  ID: 105468

There is also Chaoscope, a little more complicated to draw images from, but it, too is free, and I've been able to generate everything from spirals, to complex glass sculptures, to wisps of smoke.

Click image for larger version.  Name: chaoscope.jpg  Views: 605  Size: 34.6 KB  ID: 105469

My Best,

Gary