The zip file contains all necessary stl-files to 3d print the parts (9 pieces) of the sculpture.


Submitted by


Torsten Stier
Jos Leys

A sculpture visualising the relation between visible matter and the “dark forces” in modern physics.

The title is a reference to Doulas Adams’ novel the hitchhikers guide to the galaxy. 42 is there the answer to the ultimate question of life, the universe, and everything – a theory of everything so to speak. Like the protagonists in Adams’ novel, we can’t do anything with the answers of stringtheories, as we could not ask a single question, to check these theories. The only argument for their correctness is their elegance. So they might be a possible math model of reality, but barely a scientific theory.

The string theory – a confusing term – as there are several variations in discussion, is the attempt to extend our standard model of particle physics, in order to unify all four fundamental forces – electromagnetism, strong and weak nuclear power and gravitation – in one universal theory.

For this purpose string theory postulates the zero dimensional basic particles of the standard model as one dimensional, vibrating strings. And as the four dimensional space-time is not enough to achieve this goal, string theorists add some more dimensions in which the strings can also vibrate.

But when we look at our standard model – and this is still the basis also of string theory – there are still several problems remaining, the string theory does not even promise to solve.

One of these problems is the existence of dark matter and dark energy. The term “dark” indicates, that there is no way to observe these phenomenons directly. They only show up by their effects, that differ from the predictions the unchanged standard model makes. Regarding the huge amount of both – together they are 95.1% of the universe, to fit the theory we seriously need to ask, whether these dark forces are real parts of our universe or arbitrary maths models, just to fill the holes in our knowledge. Does it really make sense to build up a theory of everything – like the string theory – upon 4.9% of the universe, that is known?

At this point not a single word has been said about the mechanism, that translates the statistical, randomly “wavy” laws of particle physics, into our macroscopic and deterministic world. We must admit, that there is not even a vague idea, how this takes place.

All this suggests, that our current physical paradigm might be good for creating technical mechanisms in an Engineering way, but it does not help us, to gain comprehensive knowledge of our world. In my humble opinion, there is no deeper truth in that kind of physics. It is more or less an end in it self for the human eagerness to explore. In times, where we brought our only earth to the edge of habitability, the question must be allowed, whether this is the right approach to shape the future.

Asking an unpleasant question in a most aesthetic way was the motivation behind “42”. I hope it helps us to bear such unbearable questions.


The model bases on a 3-dimensional version of so called limit sets of Kleinian Groups. This type of fractals have their origin in the work of Felix Klein, Robert Fricke and Henri Poincaré around the turn of the 19th and 20th century. They are packings of touching spheres. As in theory the spheres are touching, but not intersecting, these fractals are not connected in three dimensions (they are connected in single, 0-dimensional points in 3d space). In order to create a connected model, the hulls of the spheres have a certain thickness, so the spheres in the model are intersecting and merging at small radii. The algorithmic implementation was introduced late in 2016 by Jos Leys and knighty.