First of all, I would like to explain, this was made as a birthday gift for my friend Thomas aka ratravarman because well, one) it is his birthday, and two) he sent me a nice xmas gift this past holiday and while I cannot return the favor in kind, I felt I should do what I could...
His holiday package to me contained some interesting books, one of which was a small tome on "The Golden Mean" which is a scientific and artistic concept that the ration of 1:1.61803 is an especially great ratio leading to the most beautiful proportions in art. For that reason, I created this fractal using the number 1.61803 for nearly every numerical input in MB3D, except for one parameter in the _boxtiling, the Y which is set to 3.14159 (pi to five decimal places) and the Y rotation on the Sierpinski3 formula, which I set to 33 degrees (should probably have gone with 33.333, but I doubt it would have changed the image much, if at all)
Further details: this thing gave me the hardest time... I was doing my test renders at 480X320, and no matter what settings I used for the calculation, it always came out with bright yellow pixel dust scattered through the render. I tried EVERYTHING to relieve this... very high DE Stop, very low DE Stop, very low Raystep and Stepwidth, very VERY low RS and SW... smooth normals, don't smooth normals... even tried "disable analytical DE" and nothing helped... the little dots would move about... but never go away completely... and then, in desperation, I decided to get the least amount I could and simply accept that it would have these few dots... so I set the final render size to 3072X2041 and started the render... and lo and behold, most of the pixels disappeared... must have just been an artifact of the specific small render size. There are still a very few, very hard to notice ones here and there... but all in all, far better than I had expected.
So, I hope Thomas likes this... and I hope it is a meaningful representation in MB3D of the concept of "the golden mean"
thank you