All-Star Puzzles
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Letter Dice 10
What are the six letters on each of the four dice?
August 14, 2006
According to the introduction, each of the 24 faces of the Letter Dice has a different letter on it; the letters Q and Z do not appear. Given the word PAVE, we arbitrarily assign P to die 1, A to die 2, V to die 3, and E to die 4. From AXIS, S isn't on die 2, while from SPUN, S isn't on die 1; S is on die 3 or die 4. If S were on die 4, since N isn't on the same die as A (FANG), the N in SPUN would be on die 3 and U on die 2. From GORE, G isn't on the same die as E; given FANG, then, G would be on die 1 and F on die 4. O isn't on the same die as G, E (GORE), or U (BOUT) and would be on die 3. The R in GORE would be on die 2. The I in AXIS would be on die 1 or die 3. If the I in AXIS were on die 1 and the X on die 3, T wouldn't be on die 1 (KITH), 2, or 3 (BOUT) and would be on 4. K wouldn't be on die 1, 4 (KITH), or 2 (JERK) and would be on die 3. The W in WAIF would then be the 6th letter on die 3--impossible, since none of the letters in MILD could be on that die. If the I in AXIS were on die 3 and the X on die 1, the K wouldn't be in die 2, 4 (JERK), or 3 (KITH) and would be on die 1. T wouldn't be on die 1 (KITH), 2, or 3 (BOUT) and would be on 4. The B in BOUT and the W in WAIF would both be on die 1--again impossible, since none of the letters in MILD could be on that die. So, the S in AXIS isn't on die 4 and is on die 3. Since N isn't on the same die as A (FANG), the N in SPUN would be on die 4 and the U on die 2. From FANG, either F is on die 1 and G on die 3, or vice versa. If F were on die 1 and G on die 3, O wouldn't be on die 2 (BOUT), 3, or 4 (GORE) and would be on die 1. The R in GORE would be on die 2. The I in AXIS would be on die 4 (WAIF) and the X on die 1. T wouldn't be in die 1, 2 (BOUT), or 4 (KITH) and would be on die 3. The B in BOUT would be on die 4. K wouldn't be on die 2, 4 (JERK), or 3 (KITH) and would be on die 1. Then the J in JERL would be on die 3. The W in WAIF would be the sixth letter on die 3--again impossible, since none of the letters in MILD could be on that die. So, from FANG, the F isn't on die 1; F is on die 3 and G on die 1. O isn't be on die 2 (BOUT), 1, or 4 (GORE) and is on die 3. The R in GORE is on die 2. The AXIS I is on die 1 or die 4. If the I were on die 4, with X on die 1, the W in WAIF would be on die 1. T wouldn't be on die 2, 3 (BOUT), or 4 (KITH) and would be on die 1. B in BOUT would be on die 4. K wouldn't be on die 1, 4 (KITH), or 2 (JERK) and would be on die 3, with the J in JERK then on die 1--again impossible, since none of the letters in MILD could be on that die. So, the AXIS I is on die 1 and the X on die 4. T isn't on die 1 (KITH), 2, or 3 (BOUT) and is on 4. B (BOUT) is on die 1. K isn't on die 1, 4 (KITH), or 2 (JERK) and is on die 3. The JERK J is on die 1, and the KITH H is on die 2. W (WAIF ) is on die 4. M isn't on die 1 (MILD), 2, or 4 (HYMN) and is on 3. The Y in HYMN is on die 1. If the L were on die 2, the C in CLOY would complete die 4--but MILD could not be made. So, the L is on die 4, and C and D are the last two letters on die 2. In sum, the letters on the four dice of Letter Dice 10 (in order of recovery) are

  • PGIBJY
  • AURHCD
  • VSFOKM
  • ENXTWL

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