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## UNDER THE VEIL.

(Chessboard Problems)
[Illustration:
+---+---+---+---+---+---+---+---+
| | | V | E | I | L | | |
+---+---+---+---+---+---+---+---+
| | | I | L | V | E | | |
+---+---+---+---+---+---+---+---+
| I | V | | | | | L | E |
+---+---+---+---+---+---+---+---+
| L | E | | | | | I | V |
+---+---+---+---+---+---+---+---+
| V | I | | | | | E | L |
+---+---+---+---+---+---+---+---+
| E | L | | | | | V | I |
+---+---+---+---+---+---+---+---+
| | | E | V | L | I | | |
+---+---+---+---+---+---+---+---+
| | | L | I | E | V | | |
+---+---+---+---+---+---+---+---+
]
If the reader will examine the above diagram, he will see that I have so
placed eight V's, eight E's, eight I's, and eight L's in the diagram
that no letter is in line with a similar one horizontally, vertically,
or diagonally. Thus, no V is in line with another V, no E with another
E, and so on. There are a great many different ways of arranging the
letters under this condition. The puzzle is to find an arrangement that
produces the greatest possible number of four-letter words, reading
upwards and downwards, backwards and forwards, or diagonally. All
repetitions count as different words, and the five variations that may
be used are: VEIL, VILE, LEVI, LIVE, and EVIL.
This will be made perfectly clear when I say that the above arrangement
scores eight, because the top and bottom row both give VEIL; the second
and seventh columns both give VEIL; and the two diagonals, starting from
the L in the 5th row and E in the 8th row, both give LIVE and EVIL.
There are therefore eight different readings of the words in all.
This difficult word puzzle is given as an example of the use of
chessboard analysis in solving such things. Only a person who is
familiar with the "Eight Queens" problem could hope to solve it.

Next: BACHET'S SQUARE.

Previous: A PROBLEM IN MOSAICS.

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The text passage describes a puzzle involving arranging letters on a chessboard such that no letter is in line with another of the same type horizontally, vertically, or diagonally. The goal is to maximize the number of four-letter words (VEIL, VILE, LEVI, LIVE, EVIL) that can be read in various directions. The passage does not contain a direct mathematical question or provide an answer to such a question.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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 Privacy

 Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search

## UNDER THE VEIL.

(Chessboard Problems)
[Illustration:
+---+---+---+---+---+---+---+---+
| | | V | E | I | L | | |
+---+---+---+---+---+---+---+---+
| | | I | L | V | E | | |
+---+---+---+---+---+---+---+---+
| I | V | | | | | L | E |
+---+---+---+---+---+---+---+---+
| L | E | | | | | I | V |
+---+---+---+---+---+---+---+---+
| V | I | | | | | E | L |
+---+---+---+---+---+---+---+---+
| E | L | | | | | V | I |
+---+---+---+---+---+---+---+---+
| | | E | V | L | I | | |
+---+---+---+---+---+---+---+---+
| | | L | I | E | V | | |
+---+---+---+---+---+---+---+---+
]
If the reader will examine the above diagram, he will see that I have so
placed eight V's, eight E's, eight I's, and eight L's in the diagram
that no letter is in line with a similar one horizontally, vertically,
or diagonally. Thus, no V is in line with another V, no E with another
E, and so on. There are a great many different ways of arranging the
letters under this condition. The puzzle is to find an arrangement that
produces the greatest possible number of four-letter words, reading
upwards and downwards, backwards and forwards, or diagonally. All
repetitions count as different words, and the five variations that may
be used are: VEIL, VILE, LEVI, LIVE, and EVIL.
This will be made perfectly clear when I say that the above arrangement
scores eight, because the top and bottom row both give VEIL; the second
and seventh columns both give VEIL; and the two diagonals, starting from
the L in the 5th row and E in the 8th row, both give LIVE and EVIL.
There are therefore eight different readings of the words in all.
This difficult word puzzle is given as an example of the use of
chessboard analysis in solving such things. Only a person who is
familiar with the "Eight Queens" problem could hope to solve it.

Next: BACHET'S SQUARE.

Previous: A PROBLEM IN MOSAICS.

### Random Questions

The New Year's Eve Suppers.
Money Puzzles
The Nun's Puzzle
CANTERBURY PUZZLES
Patchwork Puzzles
A Problem In Squares.
Money Puzzles
The Lockers Puzzle.
Money Puzzles
The Languishing Maiden.
The Guarded Chessboard
The Suffragists' Meeting.
Money Puzzles
A Bank Holiday Puzzle.
Unicursal and Route Problems
A Puzzle For Card-players.
Combination and Group Problems
The Greyhound Puzzle.
The Guarded Chessboard
Gold Packing In Russia.
Measuring, Weight, and Packing Puzzles.
Digital Division.
Money Puzzles
The Christmas-boxes.
Money Puzzles
The Honeycomb Puzzle.
Unicursal and Route Problems
The Three Railway Stations.
Patchwork Puzzles
user
The text passage describes a puzzle involving arranging letters on a chessboard such that no letter is in line with another of the same type horizontally, vertically, or diagonally. The goal is to maximize the number of four-letter words (VEIL, VILE, LEVI, LIVE, EVIL) that can be read in various directions. The passage does not contain a direct mathematical question or provide an answer to such a question.

TYPE: NO_QUESTION