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Here is a zoom at distance 4e-06, showing an area with fine detail.  Step fudge 0.8.

The spherical fold seems to work well with the mixPinski.  I am using 3 formula slots in MandelbulberV2. MixPinski in slots 1& 3 ,  and randomly  trialling formulas and transforms in slot 2 and have been barely scratching at the surface of the mixPinski possibilities.

mclarekin wrote
  You don't want to know how much I am learning from all of you and it's such fun! I am quite in awe of the knowledge present here. I know I can only add very little and simple stuff, but to know how little you know seems to be the first step ;}

@Crist-JRoger: It was the bailout I forgot to delete! Agree now with you on simple DE And great that you found the standard shape with the zScale=1. In mb3d it gives the standard shape with zScale=0,5 I do not know why and if that is important.

@Dark-Beam Thank you, Luca!  It's not yet right I think, I need to adjust all the things I know to find in mb3d: raystep multiplyer, stepwidth limiter, stepcount binary search, smooth normals, and I have no idea how/where to set them in frag! It would be so nice if everything had the same name But really, the _reciprocals in mb3d need really fine settings to render nicely, so I cannot at this moment tell you if my efforts lead to any good result The good thing it that I have not blown up Fragmentarium yet while hobbying  Thank you for challenging me;)

If anyone has any idea which settings in Fragmentarium correspond more or less with raystep multiplyer, stepwidth limiter, stepcount binary search, smooth normals, at least, if they exist at all in Fragmentarium? Would be a great help in figuring out if I am on to something or not.

This transform i will insert into my openCL version, probably after the menger4D,
this transform uses Dd so cannot use pow(scale,-i)

Thank you  Very interesting randomize of fractal. In standard settings i got upper half of apple with leaf 
So it works even after z scaling, but before z+=offsetM looks better I think



Code not optimized? Fractal goes to infinity

  So I made it 3d and mixed it with the "slice" formula (going to remove the accordion function I think, but for now it's still embedded in the slice part).  

  Makes for some interesting infinitely zoomable patterns...


  Files here.  The rotation technique seems applicable to both 2d and 3d fractals, and adds lots of details.  More on it later...  probably a name for it that educated people know.  

https://drive.google.com/open?id=0B0EcJQ49B_yOUG1lRk5GdUk1MEk

lol.   AccCycleSplit actually sets the cycle length for repetition along the x component.  Doesn't do that much if you use it beyond the first iteration, and even then it's probably a superfluous part of the code. 

  Was going to remove the whole accordion part of the code anyway... right now.   

Luca.    


  This is the 3d "Kaleidoscopic rotation" thing (rotates at multiple points to preserve continuity while adding movement/rotation).  I uploaded the newer code with the rotations added, and accordion taken out to the link I posted above.   

<a href="https://www.youtube.com/v/P94WJoCtnSU&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/P94WJoCtnSU&rel=1&fs=1&hd=1</a>



  How do we do giphy gifs on the forums?

https://giphy.com/gifs/kaleidoscopic-rotation-W5KN3GmUmVT4k

  Math guys- what is the technical term for those types of rotations?  They do not introduce discontinuity as long as there are even numbers of rotations.