Letter Dice 9
 What are the six letters on each of the four dice?
 March 27, 2006
 According to the introduction, each of the 24 faces of the Letter Dice has a different letter on it; the letters J and X do not appear. Given the word PLUM, we arbitrarily assign P to die 1, L to die 2, U to die 3, and M to die 4. From DUPE, E isn't on die 1 or die 3; while from PILE, E isn't in die 2. E is on die 4, with D then on die 2 (DUPE) and I on die 3 (PILE). Given SECT and THIS, S is on die 1 or die 2 with T then on the other of die 1 or die 2. From SECT, then, C must be on die 3; while from THIS, H must be on die 4. A isn't on die 2 or die 4 (HARD), nor is A on die 3 (QUAY). A is on die 1. Then from HARD, R is on die 3, with the Z in RAZE on die 2. The Y in ZANY isn't on die 3 with U (QUAY), so Y is on die 4 with the ZANY N on die 3. Q is on die 2 (QUAY). From SECT and THIS, S and T are on dice 1 and 2 or vice versa. Trying T on die 1, with S on die 2, the O in SOCK is on die 1 or die 4. If the O in SOCK were on die 1, K would be on die 4. From KNOB, B would complete die 2. However, there would be then no way for G and W from GROW to be on different dice. If the O in SOCK were on die 4, K would be on die 1. From KNOB, B would complete die 2. Again, however, there would be no way for G and W from GROW to be on different dice. Therefore, the T in SECT and THIS must be on die 2, with the S on die 1. The O in SOCK is on die 2 or die 4. If the O were on die 4 with the K on die 2, there then would be no way for G and W from GROW to be on different dice. The O in SOCK comes from die 2 and the K from die 4. B is on die 1 (KNOB). The W in GROW can't be on die 1 with S (VOWS) and is thus on die 4; G is on die 1. The V in VOWS completes die 3. By elimination, F is on die 1. In sum, the letters on the four dice of Letter Dice 9 (in order of recovery) are PASBGF LDZQTO UICRNV MEHYKW