hmmm.... what's the basic formula for both kinds of zoom?
The solution would be to "force" same optical distance to the central point for both zooms and then solve that equation to find the functional relationship between both kinds of zoom....
If you look at the Mandelbrot set, a lot of the results look like vortices.
2D vortices already are highly complex - even worse, in this case: vortices, made from vortices!
Now imagine a 3D vortex. And that with fractal repeated fractal detail. 3D vortices, made of 3D vortices.
That's just riddiculous.
There is a reason why the Navier Strokes formulae aren't yet solved after all...
Of course that doesn't have to be true but it might be the case that you have best chances to find 3D Minibrots by starting off the xy-plane, where the Mandelbrotset is found, zoom into a Minibrot there and then look at the surrounding 3D structure. In theory, that should also be a 3D Minibrot.
Also you could try to find the center of a Minibrot and then use the radius from the origin as fixed value and just change the angular position of the camera in order to find other off-xy-plane-Minibrots
Also a nice idea would probably be to look at cut-planes through the origin, being rotated around one of the xy-plane's axes.
Usual candidates for that would be angles like 15°, 30°, 45°, 60°, 75°, 90°, k*pi/n rad....
and if you find something promising (not nessecarily Minibrots but shapes that are similar copies of the whole plane you look at), you basically would look what happens when you slowly rotate the plane in either direction - when does the structure at that part go away?...
You could then use those min-, max-angles to cut a part out of the set that includes the whole smaller version.
That in theory should be one (kind of) Minibulb.
Most likely, however, unlike the Mset, those Minibulbs could look quite different to the overall shape. They're based off the plane their centers come from.
True Minibulbs "in respect to the whole set" would be harder to find and so to say a minority of those sets, found by the way I desciribed...
Do you think, that would work?