Castle Keep Dice Tower.
There are 3 main parts to build and then glue the top onto the tower and place the base in the tray. You can also glue the base on if you want it as one piece or leave separate for more portability.

Based on the Heroscape Tower of Lodin Papercraft Dice Tower

Print out the 3 parts and put together.
I put in a single piece as well but it is too large for standard Makerbots. The main body needs to be done without supports if you are on a single head machine as you will not be able to get the supports out of the middle.

For dual head devices use dissolvable ABS for supports. Supports will add a considerable amount of more time to the print and I did the main body in 18 hours without any support.