The objective is simple. We build a power 8 Mandelbulb from three superimposed power two Mandelbulbs. In Mandelbulber 2 the most simple implementation of a power 2 Mandelbulb is used as only module. Global c is added one time after the third power 2 Mandelbulb. Result is something very similar to a power 8 Mandelbulb. 

>>parameters are still the initial approach and will be replaced as soon as possible.

Similar we can say, because it has defined properties, that match the expectations of a power 8 Mandelbulb.

Mandelbulbs of power n have in top view n-1 “antennas”. Remember: The 2-dimensional Mandelbrot set has n-1=2-1=1 antenna. The modular Mandelbulb has seven antennas. That’s why we can be sure, that this is really similar to a power 8 Mandelbulb. 

Similar but not equal we must say, because the native power 8 Mandelbulb of the same formula base looks sightly different than the modular construction. 

The parameter is somewhat optimized, so you can change between modular and native display with just a few clicks.

There are several ways, to define modules. I started with the Mandelbulber default Mandelbulb, But one of the most simple implementations of a power 2 Mandelbulb does it as well.
http://www. fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-ty…

Based on a suggestion by Graeme McLaren - aka Carbuncle Grim

By altering the power of Mandelbulb#1 you can change the power of the whole Mandelbulb. Some examples.

power 2.25, power2, power 2 creates a
power (2,25*2*2) = power 9 Mandelbulb (counting n-1 in top view)

power 3, power 2, power 2 creates a
power (3*2*2) = power 12 Mandelbulb

So at this point is at least clear that it is a plain multiplication until c is added.
Image shows the power 9 modular Bulb.

>p 2 do

As an artist, my first interest is of course the artistic quality, the possibility of making something unique out of it. And the first thing that came to my mind was adding c in different places. Here c is added after the first slot and not the third. Result is a shape, quite unique for Mandelbulbs. And as the distance between two add c operations stays three slots, the “bulbish” character of the shape remains intact.

In this one c is added after slot #2

As far as I tried, all Mandelbulbs, that can be configured to power 2 and use the global constant in its concept, produce modular Mandelbulbs (in this case Juliabulb) of different “styles”. They can be mixed as well. This one is entirely built from Mandelbulb - Atan2 Power 2. It creates an odd shape, when c is added after slot #1. In principle any suitable power 2 bulbs can be used in slot #2 and #3 and this 2+2 overall shape remains.

As mentioned many Mandelbulb “flavors” can be used – with various results.

http://www. fractalforums.com/theory/mandelbulb-variant/