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  Did a mod or 2.  Mandelbulb (pine tree version for details) formula, then rotated x-axis (1,0,0) to the magnitude axis (1,1,1), took |xyz variables - fixed amount|*2 (like I've done in the past), and rotated back.  Only add in negative x-pixel component after initial setup.  

  Added a modification on the 4th iteration, within the rotations, before the |xyz-fixed| works a bit nicer.  Took the x= (sqrt(y^2+z^2)- value) *other value, y=(sqrt(x^2+z^2)-value)*other value...  value ~2 (if you just do this, you get a neat little thing that I'll put at the bottom of this).  

  You can throw a rotation into the formula at specific iterations, and this will let you rotate specific parts of the fractal.

 Same color scheme... maybe someday I'll change.

(https://lh3.googleusercontent.com/oYWvcCIazEwibUfibz2JBCzafi3TLaBnBbsfbLToQpQ=s0)

(https://lh3.googleusercontent.com/gM0OXglcQ7r80nRdVZK62_5ZzIZCl1_P9b_DIOd-P1M=s0)

(https://lh3.googleusercontent.com/b7YhBxJszTlWQat5ICSC0k_WFP1TpP59PvBoqLjSj8g=s1000)


(https://lh3.googleusercontent.com/f85w80uRf3Azt2i5WI74PxQXzpk793huRNUfvQq6nZU=s1000)

(https://lh3.googleusercontent.com/n608YntJRtKn6we1NJh_Kj_ymjiwrgrm9thP4rlEYZ4=s800)

(https://lh3.googleusercontent.com/igLl82NcE8Mgr3SyTZefxbHfsYYyQ68x3jxyljOqLVE=s835)

This was the first one:
(https://lh3.googleusercontent.com/N1ksn-_SGlbEcq0nIvgy6_sS3EssNfl9Lr7X0pX9vRQ=s772)


  Here is the modification, by itself (without the mandelbulb formula included):
(https://lh3.googleusercontent.com/2OspKSryrx78U6y_TGgISczLnnYZu8CMEhDEAJ-BmM0=s772)

This fractal and images I like a lot.   O0

thx!