It has come to my attention that though both sides of each face can be landed on they are still the same face when looking at in the 4th dimension. so i have made http://www.shapeways.com/model/167487/4d_d24.html to correct this.
This is a shadow of a 4 dimensional D48 Die. The shape is called a hyper cube. It is made up of 8 equally sized cubes with each face of each cube connected to a face of another cube. Since it is a shadow and not actually printed on a 4 dimensional printer there is some warping of geometry and a bit of thought is needed to see the 4 dimensional shape. Obviously it is impossible to roll the die and have it land on any sides other then 5,13,21,28,36, and 44 but even without trying it ended up being a fairly waited model.
To make it possible to print you will notice that each face has 2 numbers. the number that you can read correctly is the number for the side you are looking at. The number you can not read correctly is for the cube on the inside.
Hope you enjoy this unique die.
2.026 w x
2.026 d x
0.798 w x
0.798 d x