I started to wonder what would happen if the cubists had modern graphic design and animation techniques to play with. My interpretation (likely flawed, but mine none the less) of cubism is that it was the attempt to depict more of a scene, portrait or object than the naked eye could see at any one particular moment. 
By first supposing that all art is a fallacy - i.e. Magritte's 'ceci n'est pas une pipe' - it freed the movement to create pieces that did not fit into the Realist approach of art, but which they claimed showed a hyper real state, incorporating time and theoretically other dimensions. This is not to mention it looks very pretty and given the amount of money it's made over the years, seems to have some populist appeal...
With digital formats, the opportunity to actually showcase more than a single point of view at any one time, or easily switch between multiple perspectives is there at our finger tips, with just a little light HTML and CSS - or even with a bit of Powerpoint know how...
My very basic attempt at modern cubism is above - combining a Black & White version of a photograph with a colour, just as a simple example of showing two contrasting viewpoints in a single 'viewport'...
The majority of modern artwork that I tend to consume is highly stylised, incredibly detailed and accomplished graphic design, mostly looking to be bought up or commissioned by advertising agencies. There doesn't seem to be as much creativity for creativity's sake once designers leave college, despite the world never being better set up to give a platform to individuals and their ideas...(see what has happened in the music industry)
That being said, Cubist principles are at large play within the User Experience industry, even if we don't often think of it at first. As this post from the ever excellent Web Design Ledger shows, the use of squares or 'tiles' within modern web design is hugely popular. It has come of age recently largely down to the demands of mobile, and the ease with which a grid can be scaled up or down dependent on the screen size that's accomodating the content. This is all at a time when we are looking to remove the amount of information on screen to the bare minimum possible...
This has led us to try and explain to the user, or viewer, that there is more than meets the eye on any particular square, or content section. Just as the Cubists were trying to do all those years ago...
There are two points to make out of this post:
We should be making more things just for the sake of it, using the latest techniques but with an eye for what has gone before
Is there more that we can learn from Cubism about showing more to viewers than they are used to seeing, or that we are used to showing?