![ultra fractal duplicate file ultra fractal duplicate file](http://rupert.id.au/tutorials/ultra_fractal/images/page10.png)
Perhaps the ancestry path of each integer-centered body along the real line corresponds to the path taken by it's central point when iterated under the Collatz function? Just speculation so far.Īnyway, this fractal is cool. I'm trying to figure out what the "ancestry" of each shape along the main western antenna is, along with what pattern they follow. You can't do any shape stacking by zooming in, only by moving further out along any antenna. Sometimes you find what looks to be two previous shapes shape-stacked together.
![ultra fractal duplicate file ultra fractal duplicate file](https://images4.alphacoders.com/100/thumb-1920-1001054.jpg)
As you move out further along the main antenna, you find period doubled versions of previous shapes. I've been studying the default-valued set in particular. There's one thing really interesting I noticed - some of these Julia sets almost have a kind of shape stacking. There are new and alien looking shapes things all over the parameter space, but most of them seem to be clustered near the real-valued parameters. Complex values can give nice results too, but often look similar to quadratic and cubic Julias which are old news. I've found that the most interesting shapes can be found with all real values for the parameters. Mclarekin had a good idea of replacing pi with a parameter, which gives some of the coolest variations in 2D. I'm finding this formula really fascinating so far. Let me know, if you have any questions about cool image! its hard to get a low DE miss with this formular. otherwise the fractal starts to disappear from the outside in. Ray marching step multiplier should be down to 0.1 or even lower. If you start the fractal in fragmentarium you are probably best of starting with a menger sponge and adopting the ray marching function to something like the CollatzIteration. Most importantly are the changes to compute_fractal.cpp. The vector arithmetic should be mostly self explaining, you can find the implementation here:Īll changes made to mandelbulber for adding Collatz iteration you can find here:
#Ultra fractal duplicate file code#
Is that possible to adapt this code for Fragmentarium?