Sicherman Dice

These dice are a fun way for my students explore probability. If you look closely at them, you will notice that these are not your normal dice. One has the numbers 1, 2, 2, 3, 3, and 4. The other has 1, 3, 4, 5, 6, and 8. These are Sicherman Dice. What makes them interesting is that despite their mixed up appearance, the probabilities for rolling various totals is the same as a regular pair of dice! You can go to http://www.cut-the-knot.org/arithmetic/combinatorics/Sicherman.shtml for a more detailed description of these mathematical oddities. (The stl files are for 1 inch dice, but can be resized to fit your needs.)