Matthias Müller’s Particle Art

There’s this guy called Matthias Müller, and he makes beautiful abstractions out of virtual dust on his supercomputer. He’s some kind of motion-art superhero, probably sent to us from the exploding Planet 3DS Max by his scientist parents.

In this post I’ve picked out a few examples of his work, because as well as being simply gorgeous viewing material, they’re great examples of what’s possible with a few gigs of RAM, a graphics card and some imagination.

Probably my favourite due to it’s relative simplicity, this tech demo plays with texture in surprising ways:

This next one is so epic! Like an underwater fireworks show of electric choreographed jellyfish, or something…

Watch as millions of particles merge and blend with infinite complexity in this piece of seemingly generative fludity:

This final clip is almost a love story. Watch as two swirling masses collide, explode and dance in time with the music:

An undoubtedly talented guy, Matthias has done commercial work for Honda and Vodafone (as featured last year).  His YouTube channel is certainly worth a look, as are his lovely image renders on CGPortfolio.

I can barely get the most out of MSPaint, however…

The Weird Inner World of the 3D Fractal

This post is about one of the really cool things that happens when maths I don’t understand and technologies I don’t understand get together to make something awesome. Let us begin:

A typical fractal, made using the Mandelbrot set.


A fractal is a conceptual object that reveals further details about its shape ad infinitum, upon ever-closer inspection of it’s fabric. Think of the trunk of a tree sprouting branches, which in turn split off into smaller branches, which themselves yield twigs etc and you won’t go far wrong. In fact, fractals typically look like this thing to the right.

These infinitely complex shapes are ‘created’ by instructing graphics software to render the result of a simple mathematics formula. Until now, the result has been a 2D image – there’s no depth, shadow, perspective, or light sourcing. It is a truly abstract mathematical shape.

But since your home computer became powerful enough to do proper image rendering stuff, home hobbyists have begun to innovate on these formulae. For the first time, three dimensional fractals are able to be created with relative ease.

I can’t go into the maths, because you know, I’m not a total geek, but I do want to show you how beautiful some of these shapes are. Let’s run through some examples:


This is what you get by multiplying phi and theta by two.


More like a classic fractal with 0.5*pi to theta and 1*pi to phi.


This time multiplying angle phi by two, but not theta.




But we’re still looking at these things from outside. The really cool bit is when you start to zoom in. So let’s look at some of the high quality renders from the archives of Daniel White at his highly eclectic Skytopia, where I first learned of this phenomenon.

Make sure you click around on some of these thumbnails, yeah?!

If you’re anything like me, you’d be pretty excited at the idea of being able to create both beauty and complexity from something as simple as a few lines of code, and to then be able to explore your creation from every angle.

Then again, if you’re anything like me, you’d feel a bit frustrated that you’ll probably never be able to make something that awesome yourself. So let’s marvel at the wonder of Daniel’s creation as he takes us deep ‘Into the Heart of the Mandelbulb’.

Your comments, please!

Into the Heart of the Mandelbulb