This was inspired by Tanya Sienko (if that means anything!!)

It is possible for each of the six faces to have a capital "T" on them.
That is, each face looks like

X X X

O X O

O X O

QUESTIONS:
1) How many classes are there?
2) How many members are in each class?
3) How easy is it to get to them from solved?

My answers:
[in a few days, I don't want to spoil the fun]

Good luck, and happy hacking.

- DCP