Why did the chicken cross the Möbius Strip? To get to the same side.
That's the old joke that might have inspired Dutch architect to Janjaap Ruijssenaars of Universe architects to design a house this way, with "One surface folded in an endless möbius band. Floors transform into ceilings, inside into outside." I am not certain if it even needs a door.
According to 3Ders.org, the 3D printed parts will be hollow formwork and filled with fiber-reinforced concrete.
Together with a Dutch construction company, Ruijssenaars is working with Dini to realize the idea. "It will be the first 3D printed building in the world. I hope it can be opened to the public when it's finished. "says Ruijssenaars.
3D printing is not a very good term, and can be applied to a number of different technologies. Dini's technique is a form of additive manufacturing, where he squirts out a mix of sand and a binding agent. Perhaps the architect is biting off a bit more than he can chew at once here, trying to use experimental technologies to build a house that is a Möbius Band. I suspect that Dini will beat him to the punch with his more traditional Trullo house.
I think a case can be made that the first 3D printed house has already been made, by FACIT in London. See Mind-blowing Digital 3D Printing of Super-Green Houses is Happening Now.