PoV-Ray Mandelbulbs

— David Wagner 2009/11/27 03:53

I also posted some animations on YouTube.

Rear View of the Power Eight Mandelbulb Iteration Seven Isosurface Front View of the Power Eight Mandelbulb Iteration Six Isosurface Another View of the Tail of the Power Eight Mandelbulb, Iteration Six Isosurface One of the "Knob Gardens" on the Power Eight Mandelbulb at Seven Iterations Closeup of the "Dragon Crest" on the Power Two Mandelbulb Another Rendering of the "Dragon Crest" "Angels' Peak" on the Power Two Mandelbulb at Twelve Iterations After only five iterations, the powers 2,8,8 consistent formula mandelbulb explodes with detail.

Side View of the Power Two Mandelbulb, in Media Power Three Mandelbulb, with Absorption Media Inside Powers 2,-2,2, Cosine Variation

Power Eight, from Iteration Two at the Bottom and Past Iteration Four at the Top A Hybrid Power Eight/Four Mandelbulb Isosurface after about Five Iterations A Power Eight Mandelbulb, Unrolled and Repeated This looks to me like a 3D version of the tricorn fractal. It's a 2,-2,2, consistent mandelbulb.

A Slice of the Power Three Mandelbulb showing Smooth and Banded iteration Coloring. Red is 16 Iterations, Green is 32, Black is 100, and White is Infinite. A closer View of the Cleft in the Power Three Mandelbulb showing Smooth and Banded Iteration Coloring

Animation Loops

Here are some endless loop players.

Quaternion Mandelbulb Mapping