An Introduction to the Magnificence of 3D Fractals

3 October 2013

In the last few years fractals have gone to a whole new dimension! If the word ‘fractal’ still makes you think of Mandelbrot thumbprints of God then get ready to have your mind blown again. We are talking an infinite variety of infinitely complex ‘worlds’ that you can fly through discovering never before seen structures that all seem eerily familiar.

Here are some of my favorite 3D fractal movies.

There are 2 types of 3D fractal fly-throughs… ones where you explore a static fractal, and ones where the fractal itself is morphing as the parameters that generate it are being changed. I suspect this movie is of the second type but its not always easy to tell. And its also possible that a movie contains clips from totally different fractals merged into journey.

This was the first landscape fly-through of its caliber – dreamy undersea world that morphs into grids of bonelike fibres.

Like in a dream II

“Fractal animation made with Mandelbulb3D. I originally designed it for Bryan Alvarez from UC Berkeley, for a TEDx talk about his Human Atlas project, to illu…”

 

3d fractal dreams  – here is a simpler shape. Notice that the cubic structure is made of smaller and smaller holes and is likely to have infinitesimally small or even zero actual volume no matter how large it is!

 

A Dream – Mandelbulb 3d fractal animation

 

“A Dream Raw 3D fractal created with Mandelbulb 3D in May 2012 Music composed and remixed by Arthur Stammet in May 2012 This movie explores a Menger Sponge, l…”

 

Not sure if the following movie won the 2013 competition but it probably gets my vote 🙂
I wish he did less chopping around between views though, and I turned the music off for maximim appreciation

 

Explore (Fractalforums.com Annual Competition 2013) – Mandelbulb 3d fractal animation

 

“This movie has been created by Arthur Stammet for the Fractalforums.com Annual Fractal Art Competition 2013. Based on a Mandelbulb fractal, which has been re…”

Ah now this one I though I had lost in the maze of Youtube searching… but here it is again. This particular (free) software allows you to fly lights as well as the camera view point and illuminate the scenery to your aesthetic delight.

Mandelbox and Flying Lights

 

“Animation was rendered using Mandelbulber 0.991 http://sites.google.com/site/mandelbulber/home Music from Youtube AudioSwap: Chopin – Waltz No. 7 In C Sharp …”

Golden Spiral 3D Fractal
Heres a recent discovery that prompted me to make this post.
I find the textures in this sort of fractal bizarre and almost disturbingly insectoid. A bit like being lost in Carlos Casteneda’s inorganic worlds.
But there is no doubt they are beautiful and strangely familiar.

Here are links to Wikipedia articles on the two most important of the new forms called the Mandelbulb and the Mandelbox

 

 

 

 

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