Defining Space - Polyhedra

I was wondering how I could show or define space and I remembered one post I made earlier on my blog. I was describing how to create a
Menger sponge out of cards. I know that a card is a 3d object but when we look at it we take it as something planar rather than something um... cuboid.

So I decided to do something similar. But I wanted to explore polyhedra. I like fractals, steller objects and the basic polyhedra in general so this seemed as the right thing to do. Creating this needs a good conception of space and by doing this we create an object that we really perceive as an 3d object.