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Letter Cubes 3 (Posted on 2003-08-17) Difficulty: 3 of 5
In this game of Letter Cubes, a different letter of the alphabet is on each face of each of the 4 cubes so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the cubes so that the top letters spell a common 4-letter word. The 14 words below have been made using today's cubes.

Can you recover the 6 letters on each?
AXIS
BUOY
CHAD
FAKE
FOIL
GOAD
GROW
HOAR
JUMP
MUCK
NAVY
OPTS
TURN
VIBE

(puzzle originally from www.allstarpuzzles.com)

  Submitted by DJ    
Rating: 4.2000 (15 votes)
Solution: (Hide)

A B L M T W
C E J N O X
D I K P R Y
F G H S U V
According to the introduction, each of the 24 faces of the dice has a different letter on it.

Given the word GOAD, we arbitrarily assign G to die 1, O to die 2, A to die 3, and D to die 4.

G
O
A
D
From GROW, R can't go on a die with G or O; and from HOAR, R isn't on die 3 with A. R is on die 4 with D.
G
O
A
D R
From GROW, then, the W is on die 3 with A; and from HOAR, H is on the same die as G.
G H
O
A W
D R
From CHAD, C is on die 2 with O.
G H
O C
A W
D R
F isn't on die 2 with O (FOIL) or die 3 with A (FAKE), so F is on die 1 or die 4.

Start by assuming that F is on cube 4.If F were with DR, given that I isn't on the same cube as A (AXIS), from FOIL, I would go with GH and L with AW.

G H  (I)
O C
A W  (L)
D R  (F)
Since K doesn't go with C on a die (MUCK), from FAKE we would get GHIK on die 1 and OCE on die 2.
G H  (IK)
O C  (E)
A W  (L)
D R  (F)
Given SPOT, S can't be on a die with O; therefore, given AXIS, die 2 would have X and die 4 S.
G H  (IK)
O C  (EX)
A W  (L)
D R  (FS)
V isn't on the same die as A (NAVY); so, given VIBE, V would be on the fifth face of die 4 and B on die 3.
G H  (IK)
O C  (EX)
A W  (LB)
D R  (FSV)
Y doesn't occupy the same die as V (NAVY), so Y in BOUY would go on die 1.
G H  (IKY)
O C  (EX)
A W  (LB)
D R  (FSV)
Then, however, the U cannot be on die 1, 2, 3 (BUOY), or 4 (TURN). Therefore the assumption that F is on cube 4 is false; F is on die 1.
G H F
O C
A W
D R
I isn't on with A (AXIS), so from FOIL, I is on die 4 and L on die 3.
G H F
O C
A W L
D R I
Given MUCK, K and C are on different blocks; from FAKE, then, the K goes with DRI and the E with OC.
G H F
O C E
A W L
D R I K
S isn't on a die with O (SPOT); so, from AXIS, S is on die 1 with GHF and X on the second cube.
G H F S
O C E X
A W L
D R I K
The T is not on die 1, 2 (SPOT), or 4 (TURN); it is on 3, and the P in SPOT is on die 4.
G H F S
O C E X
A W L T
D R I K P
U isn't on with O (BUOY); so given TURN, the U is on cube 1 with GHFS and the N with OCEX.
G H F S U
O C E X N
A W L T
D R I K P
Using VIBE, V isn't on with A (NAVY) and completes block 1; B is on die 3 with AWLT.
G H F S U V
O C E X N
A W L T B
D R I K P
Y finishes cube 4 (NAVY), M is on cube 3 (MUCK), and J is on a face of 2 (JUMP).
G H F S U V
O C E X N J
A W L T B M
D R I K P Y
Then, for aesthetics, rearrange the cubes and letters by alphabetical order:
A B L M T W
C E J N O X
D I K P R Y
F G H S U V
Charlie posed an interesting method using a grid to do some of the elimination, that can be found here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(3): please ignoreSilverKnight2003-10-10 13:23:30
re(2): please ignoreFatBoy2003-10-10 12:35:31
Questionre: please ignoreSilverKnight2003-10-10 11:14:07
Solutionplease ignoreFatBoy2003-10-10 10:15:20
Solutionplease ignoreFatBoy2003-10-10 10:15:12
SolutionNo SubjectKhanh2003-08-26 17:40:38
SolutionSpreadsheet helpsLawrence2003-08-23 07:35:59
SolutionShelly2003-08-21 22:26:53
SolutionSolutionDonna2003-08-21 14:19:17
solutionJonathan Shaw2003-08-19 03:15:43
re: solutionDuCk2003-08-18 12:27:44
re: solutionkyle2003-08-18 02:15:26
SolutionsolutionCharlie2003-08-17 11:16:21
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