Herb Taylor, a research associate at USC in the EE dept.
has proved that it is impossible to put a latin square
on every face of the 2 x 2 x 2 cube.
Can anyone answer the question on page 15 of his book
UNSCRAMBLING THE CUBE? It asks whether or not it is
possible to put a latin square on every face of the 3 x 3 x 3
p.s. Minh Thai of Los Angeles did ten scrambles with average
time 40 seconds