Chiral Dice

Recent visitors to my office have been confronted with this on the white board:

How many stereoisomers of a die?

I want to clean it off, so I’m posting it here. It dates from a visit we had from Ben Davis last year as the Cornforth Lecturer. He was telling me that Ken Izumori from Kagawa has a collection (in, I think, wood) of all the possible stereoisomers of a die. This got me thinking about how many there are, and the picture’s the analysis. There’s probably a way of using this to cheat in a casino. Which would make one enantioenriched I guess.