Minecraft Forums

• Menger Sponges (done!)
• Basic Mandelbulbs (done!)
• Cantor Dust (done!)
• Quadratic Koch Surface (done!)
• Greek Cross Fractals (done!)
• 3d Hilbert curve (done!)
• Octahedron fractals (done!)
• Basic Mandelboxes (done!)
• Custom Mandelboxes (done!)
• 3d Moore curve (working...)
• 3d Lebesgue curve (working...)
• 3d H-fractal (working...)
• Dodechahedron fractal (working...)
• Square Sierpinski Pyramid
• Triangular Sierpinski Pyramid
• Custom Mandelbulbs
• others?

Update (2/10/2014):
Generated a few 256x256x256 Mandelbulbs and optimized Mandelbulb generation.





Update (2/14/2014):
Two more fractals have been conquered!





Update (2/14/2014) #2:
Got the Greek Cross Fractal working!




Update (2/15/2014):
I can now generate 3d Hilbert Curves! This fractal is one of several types of space-filling curves. Thus, these were a bit different to work on. I had to use a type of Lindenmayer System for their generation. Other people usually used a turtle-approach to the L-system for these fractals, but I didn't like that approach (didn't translate well to Minecraft, IMHO), so I used a different approach which allows me to create a meaningful data-dump for the curve. E.g. below is the data for generating a level 3 Hilbert Curve, which is generated from a starting string of "F R B D F L B", where F = forward, B = backward, R = right, L = left, U = up, D = down.

F R B D F L B D D F U R D B U R D R U F D L U U B U F R B D F F F U B L F D B D D R U F D L U L D B U L D F U U B R F U B L F F R D L F R U L F F R B D F L B D F D B R F U B B L B R D L F R R R B L U R F L F F D B R F U B U F L B U F R B B L D R B L U R R D R U F D L U F F D B R F U B R F R B D F L B B U B D R U F D D D B U L D F U F F R B D F L B L F U B L F D B B U R D B U L D B R B L U R F L U U R D B U L D B U B D R U F D D L D R B L U R R R D L F R U L U U B D R U F D F U L D F U R D D L B R D L F R D L B R D L F R D D L U B D R U B D B U L D F U U R U L B R D L L L U R F L D R D D B U L D F U F D R U F D L U U R B L U R F L F D R U F D L U F F D B R F U B R F R B D F L B B U B D R U F D D D B U L D F U F F R B D F L B L F U B L F D B B U R D B U L D L L U R F L D R F F L B U F R B U F U B L F D B B R B L U R F L L L B R D L F R F F U B L F D B D F R B D F L B B R U L B R D L B B R F U B L F U U B D R U F D R U R D B U L D D F D B R F U B B B D F L B U F U U R D B U L D L U F D L U B D D F R B D F L B

TL;DR cool fractal. generates fast.

Alright, mandelboxes have been conquered. Still having trouble with dodechahedron fractals (the geometry, it's so hard!), but conquering mandelboxes has me feeling pretty good about myself!

Some images:

Beta now available for testing on my GitHub. It's pretty slapped together right now, but it should do some things well. Be careful when generating large (size > 50) mandelboxes/mandelbulbs. Generation time increases cubicly with size.

This is amazing, great job. But I wonder why haven't you gotten any recognition for making something like this; this deserves a lot of appreciation.

This project seems to be abandoned. If I have permission to take the reigns on this, I would be very interested in updating and improving it.