From the introduction, words are made by moving from adjacent letter to adjacent
letter vertically, horizontally, or diagonally; a letter may be returned to in
a word, but the same letter can't be used twice in a row. The Boggle
board in the game played ended up with 16 different letters. By clue 1, the
word PINT was formed in a straight line, so PINT is a row or column and goes
forward or backward, up or down. We will solve the letter adjacencies first,
then determine the orientation later; so one row of the board read PINT. By
clue 4, FAINT was formed, so the A must be adjacent to the I in PINT. Further,
the A must be followed in a line by GE (clue 1). So, the following arrangements
are possible (in the first three, PINT may occur in any of the four rows):
.... .... ....
.... .... ....
PINT PINT PINT PINT PINT PINT
AGE. .AGE EGA. A... .A.. ..A.
.... .... .... G... .G.. ..G.
.... .... .... E... .E.. ..E.
However, since one word formed was FRAGMENT (2), the last three arrangements are
not possible; nor, since PALACE was formed (2), is the third arrangement possible.
So, only the first two arrangements need further testing. Testing the first
possibility, adding the word PALACE (2) must give
....
....
PINT
AGE.
LC..
....
But, there is now no way to get FRAGMENT (2). So, the second possibility remains;
and we add PALACE:
....
PINT
.AGE
..C.
....
and FRAGMENT:
....
PINT
.AGE
..CM
....
From the word COMET (5), there are two possible places for the O:
PINT PINT
.AGE .AGE
..CM ..CM
..O. ...O
Given the word CHORAL from clue 3, however, the second possibility is impossible,
and we have
PINT
.AGE
.RCM
..O.
From ARCHLY (5), we must have the H next to the O and under the R; while from
ARCHLY and PALACE (1), the L must be next to the R and diagonal from the A.
From ARCHLY and FAINT (4), we addthe F and Y to get
PINT
FAGE
LRCM
YHO.
The letter W completes the board and was in the upper left-hand corner (6), so
there are two possible arrangements:
WOHY WMET
MCRL OCGN
EGAF HRAI
TNIP YLFP
However, the C to O in COMET was a horizontal move (5) and only one possibility
remains and is the Boggle board solution:
WMET
OCGN
HRAI
YLFP
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