Figure one: Face cube

The base cube will be 10 centimeters by 10 centimeters, with 1.5 centimeters thick.  There will be 100 protrusions per face of the cube, as seen in figure one, only on the side faces.  The top face will be connected to the rest of the cube using hinges.
Figure Two: Piece. Front View (left), Side View (middle), Bottom View (right)
The pieces will be 2 centimeter by 2 centimeter cube.  The groove will be a little more than .5 inch deep and .5 inch wide so it can hold a ball bearing that is 3/8 inch will be able to travel through the grooves smoothly.  The impact-resistant polycarbonate will be used to cover the grooves so that the ball would not escape.


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