a modular Mandelbulb
A piece from the geometric view. A modular power 8 Mandelbulb consisting of 3 power 2 Mandelbulbs. Just a gimmick but with some nice features. And - just to mention - this system has eluded algebraists for 15 years.
I must admit, that I do not fully understand, why this system works. This was a shot in the dark, based on a vague idea, that turned out to be true.
The formula coders of the Mandelbulber team have noticed that system, so I am courious, what they come up wirth.
Further experiments show, that several Mandelbulb formula variations can be configured to a modular Mandelbulb, at least two of them show a proper power 8 M-set without any angular change. That means, that the angular alteration described on following pages, is maybe necessary in the used system, but is not elementary for the overlay.
In Mandelbulb 3d I can’t implement that system, because I can’t hinder a module to add global c. But the solo module can be built.
The M-set
The objective is simple. We build a power 8 Mandelbulb from three superimposed power two Mandelbulbs. One of them contains a right angle in an internal rotation (beta). Global c is added one time after the third power 2 Mandelbulb.Result is something very similar to a power 8 Mandelbulb.