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Here's a video of "The Devil rejects the Mandelbulb"....
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Inside the Sierpinski Temple (hires)
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Here's one that I don't think I've shared before - it's my "Sierpinski Temple" inside itself.....
(Created using Ultra Fractal)

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I have just updated "mmf.ufm" in the UF formula database - just one new iteration formula added to the Transformation formulas:

z = 2.0*((z+c-1.0)^@power1+(z-c)^@power1)

Which was inspired by a post in a math fun group giving:

...

(4a+1)^2+(4b+1)^2+(4c+1)^2+(4d+1)^2 = 4[ (a+b+c+d+1)^2 + (a-b-c+d)^2 + (a-b+c-d)^2 + (a+b-c-d)^2 ]

Which shows that one particular sum of 4 squares based on a,b,c,d can also be given as a different set also based on a,b,c,d.
I found the same but for just a,b and the sum of 2 squares:

(2a+1)^2+(2b+1)^2 = 4a^2+4a+1+4b^2+4b+1

2[(a+b+1)^2+(a-b)^2]
= 2a^2+2b^2+2+4ab+4a+4b+2a^2+2b^2-4ab

I called the iterative formula parameter option "Double Mandy" because the Mandelbrot form produces two shapes that are reflections in the imaginary and are both similar to the original Mandelbrot.

First test renders attached.....

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