What is a word square puzzle

One of the oldest puzzle genres of history is what we now call the word square or acrostic, a square grid of seemingly random letters which, however, actually conceals words or messages. One of the earliest examples, dating from the second or third century, is a 39 X 39 square array of Greek letters, carved in alabaster, attributed to an Egyptian sculptor known as Moschion. To read the square one must start at the center and read right or left, up or down, turning at right angles along the way. The square contains the phrase «Moschion to Osiris, for the treatment which cured his foot,» which is repeated over and over, in everlasting tribute to the healing god. Another famous word square is the so-called Sator Acrostic, found both on the site of the Roman city of Cirencester in England and on a column in the ancient city of Pompeii. A generally accepted interpretation of the words used in this 5  5 word square is: «Arepo, the sower, carefully guides the wheels,» which is believed by some scholars to be a metaphor for «God controls the universe.» Throughout the medieval period, the acrostic was commonly carved into amulets and worn to ward off disease and ill fortune.

Word squares are grids of letters that cross horizontally and vertically. In the puzzle below, the word trap is located in the top row and left-most column; Rome can be seen in the second row from the top and the second column from the left; amen is found in the third row from the top and the third column from the left; and pent occurs in the bottom row and in the right-most column. All the words cross each other in a perfect square arrangement.

T R A P

R O M E

A M E N

P E N T

In the present version of the word square puzzle you are given clues that correspond to the rows and columns. Three clues means that there are three rows and columns and that the answers are three-letter words; four clues indicates that there are four rows and columns and that the answers are four-letter words. All you have to do is insert the letters of the answers accordingly to complete the square. On a philosophical note, it seems that from the beginning of time we have felt a penchant for placing symbols in some logical arrangement, as if, in so doing, we are implicitly imposing an existential order onto the chaos that seems to characterize life. Somehow, a completed word square bespeaks of stability and even perfection, in its own miniscule way. I have always claimed that this is the hidden subtext behind all puzzles-they seem to impart a sense of symmetry or harmony to life, once they are solved, of course.

Below you will find three 3 X 3 word squares, three 4 X 4 and a challenging 5 X 5 one.

1. (3 X 3)

Clues

1. young male
2. a natural mineral
3. an affirmative answer

2. (3 X 3)

Clues

1. to allow
2. a time period
3. a key on a computer

3. (3 X 3)

Clues

1. a cereal grass
2. a unit of currency
3. what everything comes to

4. (4 X 4)

Clues

1. place to sit
2. repetition of sound
3. greeting used by sailors
4. playthings

5. (4 X 4)

Clues

1. something that we want to achieve
2. an evil giant
3. region
4. to show the way

6. (4 X 4)
Clues

1. story
2. to assert something as a fact
3. intense feeling of affection
4. large jug with a wide spout

7. (5 X 5)
Clues

1. competitive pastime
2. material on which we write
3. the art of Giuseppe Verdi
4. repeat of a TV show or series
5. prefix meaning across or beyond

Answers

1.

B O Y

O R E

Y E S

2.

L E T

E R A

R A B

3.

R Y E

Y E N

E N D

4.

S E A T

E C H O

A H O Y

T O Y S

5.

G O A L

O G R E

L E A D

6.

T A L E

A V O W

L O V E

E W E R

7.

S P O R T

P A P E R

O P E R A

R E R U N

T R A N S

In a word square, the words spelled left-to-right in each row are the same as the words spelled top-to-bottom in each column. Here are two examples:

Word Squares

Many different sorts of puzzles and games can be derived from the basic concept of word squares. The first type of puzzle is simply to pick a word and see if you can create a word square from it. Longer words and words with less common letters are harder.

The above are a “perfect” four square and five square, meaning that they are constructed of actual words found in the dictionary, with no proper names. Larger squares sometimes require a bit of cheating, such as the use of proper nouns, but perfect squares have been found up to nine.

Many variations are possible, including squares that spell words backwards and/or diagonally, and double word squares, which spell different words horizontally and vertically.

The Sator Square

Sator Square

The Sator Square is a word square and a palindromic sentence in Latin, with Arepo being a proper name likely invented to make the sentence work. “Sator Arepo tenet opera rotas” has been translated a number of ways, with perhaps the most common translation being, “The farmer Arepo holds and works wheels,” with “wheels” referring to a plow. The sentence can be read from top to bottom, bottom to top, left to right, or right to left. The Sator Square has been found on walls in the ruins of Pompeii, and has thus been around since at least 79 CE.

Crosswords

When you have constructed a word square, you can make it into a puzzle for someone else to solve, by giving them only clues to the words. Here is a simple example, for a five square:

  1. What you must do.
  2. Don’t cry.
  3. Hold back.
  4. I hear you.
  5. Go in.

See Answer

Crossword

As you can see, this is very similar to a crossword puzzle, and indeed word squares were a forerunner to modern crosswords. If you enjoy creating and solving this type of puzzle, you should join the National Puzzlers’ League. Through their magazine, The Enigma, members share not only word squares, but puzzles in many different forms, such as diamonds, octagons and chevrons.

Word Cubes

To add a level of difficulty, you can create word cubes, where the same words appear along the x, y and z axes:

Word Cube

New word squares, and research into their formation, are published regularly in Word Ways: The Journal of Recreational Linguistics.

Four-Dimensional Word Cubes

Now that we have extended word squares into three dimensions, can we extend word cubes into four dimensions? Darryl Francis has demonstrated (pdf) that it is indeed possible to create word hypercubes in four-dimensional space. However, time is also thought of as the fourth dimension. Observe this four-dimensional word cube, or word timecube:

Four-Dimensional Word Cube or Timecube

The animated image changes over time. If you look at any letter position, for instance the top left front letter position, you will see that the same word is spelled four times in four different dimensions: to the right, down, back into the z axis, and through time as the letter that appears in that position changes. Due to the letter sequence used, a valid three-letter word will be spelled by any three consecutive letters that appear in any letter position, regardless of the point at which you start watching the animation.

From Wikipedia, the free encyclopedia

A word square is a type of acrostic. It consists of a set of words written out in a square grid, such that the same words can be read both horizontally and vertically. The number of words, which is equal to the number of letters in each word, is known as the «order» of the square. For example, this is an order 5 square:

H E A R T
E M B E R
A B U S E
R E S I N
T R E N D

A popular puzzle dating well into ancient times, the word square is sometimes compared to the numerical magic square, though apart from the fact that both use square grids there is no real connection between the two.

Early history[edit]

Sator Square[edit]

The first-century Sator Square is a Latin word square, which the Encyclopedia Britannica called «the most familiar lettered square in the Western world».[2]

Its canonical form reads as follows:

S A T O R
A R E P O
T E N E T
O P E R A
R O T A S

In addition to satisfying the basic properties of word squares, it is palindromic; it can be read as a 25-letter palindromic sentence (of an obscure meaning) and it is speculated that it includes several additional hidden words such as reference to the Christian Paternoster prayer, and hidden symbols such as the cross formed by the horizontal and vertical palindromic word «Tenet». The square became a powerful religious and magical symbol in medieval times, and despite over a century of considerable academic study, its origin and meaning are still a source of debate.[3][4]

Abramelin the Mage[edit]

If the «words» in a word square need not be true words, arbitrarily large squares of pronounceable combinations can be constructed. The following 12×12 array of letters appears in a Hebrew manuscript of The Book of the Sacred Magic of Abramelin the Mage of 1458, said to have been «given by God, and bequeathed by Abraham». An English edition appeared in 1898. This is square 7 of Chapter IX of the Third Book, which is full of incomplete and complete «squares».

I S I C H A D A M I O N
S E R R A R E P I N T O
I R A A S I M E L E I S
C R A T I B A R I N S I
H A S I N A S U O T I R
A R I B A T I N T I R A
D E M A S I C O A N O C
A P E R U N O I B E M I
M I L I O T A B U L E L
I N E N T I N E L E L A
O T I S I R O M E L I R
N O S I R A C I L A R I

No source or explanation is given for any of the «words», so this square does not meet the standards for legitimate word squares. Modern research indicates that a 12-square would be essentially impossible to construct from indexed words and phrases, even using a large number of languages. However, equally large English-language squares consisting of arbitrary phrases containing dictionary words are relatively easy to construct; they too are not considered true word squares, but they have been published in The Enigma and other puzzle magazines as «Something Different» squares.

Modern English squares[edit]

A specimen of the order-six square (or 6-square) was first published in English in 1859; the 7-square in 1877; the 8-square in 1884; and the 9-square in 1897.[5]

Here are examples of English word squares up to order eight:

Table of word squares

A N O B I T C A R D H E A R T G A R T E R B R A V A D O L A T E R A L S
O N I C E A R E A E M B E R A V E R S E R E N A M E D A X O N E M A L
T E N R E A R A B U S E R E C I T E A N A L O G Y T O E P L A T E
D A R T R E S I N T R I B A L V A L U E R S E N P L A N E D
T R E N D E S T A T E A M O E B A S R E L A N D E D
R E E L E D D E G R A D E A M A N D I N E
O D Y S S E Y L A T E E N E R
S L E D D E R S

The following is one of several «perfect» nine-squares in English (all words in major dictionaries, uncapitalized, and unpunctuated):[6]

A C H A L A S I A
C R E N I D E N S
H E X A N D R I C
A N A B O L I T E
L I N O L E N I N
A D D L E H E A D
S E R I N E T T E
I N I T I A T O R
A S C E N D E R S

Order 10 squares[edit]

A 10-square is naturally much harder to find, and a «perfect» 10-square in English has been hunted since 1897.[5] It has been called the Holy Grail of logology.

Various methods have produced partial results to the 10-square problem:

Tautonyms

Since 1921, 10-squares have been constructed from reduplicated words and phrases like «Alala! Alala!» (a reduplicated Greek interjection). Each such square contains five words appearing twice, which in effect constitutes four identical 5-squares. Darryl Francis and Dmitri Borgmann succeeded in using near-tautonyms (second- and third-order reduplication) to employ seven different entries by pairing «orangutang» with «urangutang» and «ranga-ranga» with «tanga-tanga», as follows:[7]

O R A N G U T A N G
R A N G A R A N G A
A N D O L A N D O L
N G O T A N G O T A
G A L A N G A L A N
U R A N G U T A N G
T A N G A T A N G A
A N D O L A N D O L
N G O T A N G O T A
G A L A N G A L A N

However, «word researchers have always regarded the tautonymic ten-square as an unsatisfactory solution to the problem.»[5]

80% solution

In 1976, Frank Rubin produced an incomplete ten-square containing two nonsense phrases at the top and eight dictionary words. If two words could be found containing the patterns «SCENOOTL» and «HYETNNHY», this would become a complete ten-square.

Constructed vocabulary

From the 1970s, Jeff Grant had a long history of producing well-built squares; concentrating on the ten-square from 1982 to 1985, he produced the first three traditional ten-squares by relying on reasonable coinages such as «Sol Springs» (various extant people named Sol Spring) and «ses tunnels» (French for «its tunnels»). His continuing work produced one of the best of this genre, making use of «impolarity» (found on the Internet) and the plural of «Tony Nader» (found in the white pages), as well as words verified in more traditional references:

D I S T A L I S E D
I M P O L A R I T Y
S P I N A C I N E S
T O N Y N A D E R S
A L A N B R O W N E
L A C A R O L I N A
I R I D O L I N E S
S I N E W I N E S S
E T E R N N E S S E
D Y S S E A S S E S
Personal names

By combining common first and last names and verifying the results in white-pages listings, Steve Root of Westboro, Massachusetts, was able to document the existence of all ten names below (total number of people found is listed after each line):

L E O W A D D E L L 1
E M M A N E E L E Y 1
O M A R G A L V A N 5
W A R R E N L I N D 9
A N G E L H A N N A 2
D E A N H O P P E R 10+
D E L L A P O O L E 3
E L V I N P O O L E 3
L E A N N E L L I S 3
L Y N D A R E E S E 5
Geographic names

Around 2000, Rex Gooch of Letchworth, England, analyzed available wordlists and computing requirements and compiled one or two hundred specialized dictionaries and indexes to provide a reasonably strong vocabulary. The largest source was the United States Board on Geographic Names National Imagery and Mapping Agency. In Word Ways in August and November 2002, he published several squares found in this wordlist. The square below has been held by some word square experts as essentially solving the 10-square problem (Daily Mail, The Times), while others anticipate higher-quality 10-squares in the future.[5][8]

D E S C E N D A N T
E C H E N E I D A E
S H O R T C O A T S
C E R B E R U L U S
E N T E R O M E R E
N E C R O L A T E R
D I O U M A B A N A
A D A L E T A B A T
N A T U R E N A M E
T E S S E R A T E D

There are a few «imperfections»: «Echeneidae» is capitalized, «Dioumabana» and «Adaletabat» are places (in Guinea and Turkey respectively), and «nature-name» is hyphenated.

Many new large word squares and new species[clarification needed] have arisen recently. However, modern combinatorics has demonstrated why the 10-square has taken so long to find, and why 11-squares are extremely unlikely to be constructible using English words (even including transliterated place names). However, 11-squares are possible if words from a number of languages are allowed (Word Ways, August 2004 and May 2005).

Other languages[edit]

Word squares of various sizes have been constructed in numerous languages other than English, including perfect squares formed exclusively from uncapitalized dictionary words. The only perfect 10-squares published in any language to date have been constructed in Latin, and perfect 11-squares have been created in Latin as well.[9] Perfect 9-squares have been constructed in French,[10] while perfect squares of at least order 8 have been constructed in Italian and Spanish.[11] Polyglot 10-squares have also been constructed, each using words from several European languages.[12]

Vocabulary[edit]

It is possible to estimate the size of the vocabulary needed to construct word squares. For example, a 5-square can typically be constructed from as little as a 250-word vocabulary. For each step upwards, one needs roughly four times as many words. For a 9-square, one needs over 60,000 9-letter words, which is practically all of those in single very large dictionaries.

For large squares, the need for a large pool of words prevents one from limiting this set to «desirable» words (i.e. words that are unhyphenated, in common use, without contrived inflections, and uncapitalized), so any resulting word squares are expected to include some exotic words. The opposite problem occurs with small squares: a computer search produces millions of examples, most of which use at least one obscure word. In such cases finding a word square with «desirable» (as described above) words is performed by eliminating the more exotic words or by using a smaller dictionary with only common words. Smaller word squares, used for amusement, are expected to have simple solutions, especially if set as a task for children; but vocabulary in most eight-squares tests the knowledge of an educated adult.

Variant forms[edit]

Double word squares[edit]

Word squares that form different words across and down are known as «double word squares». Examples are:

T O O
U R N
B E E
L A C K
I R O N
M E R E
B A K E
S C E N T
C A N O E
A R S O N
R O U S E
F L E E T
A D M I T S
D E A D E N
S E R E N E
O P I A T E
R E N T E R
B R E E D S

The rows and columns of any double word square can be transposed to form another valid square. For example, the order 4 square above may also be written as:

L I M B
A R E A
C O R K
K N E E

Double word squares are somewhat more difficult to find than ordinary word squares, with the largest known fully legitimate English examples (dictionary words only) being of order 8. Puzzlers.org gives an order 8 example dating from 1953, but this contains six place names. Jeff Grant’s example in the February 1992 Word Ways is an improvement, having just two proper nouns («Aloisias», a plural of the personal name Aloisia, a feminine form of Aloysius, and «Thamnata», a Biblical place-name):

T R A T T L E D
H E M E R I N E
A P O T O M E S
M E T A P O R E
N A I L I N G S
A L O I S I A S
T E N T M A T E
A S S E S S E D

Diagonal word squares[edit]

Diagonal word squares are word squares in which the main diagonals are also words. There are four diagonals: top-left to bottom-right, bottom-right to top-left, top-right to bottom-left, and bottom-left to top-right. In a Single Diagonal Square (same words reading across and down), these last two will need to be identical and palindromic because of symmetry. The 8-square is the largest found with all diagonals: 9-squares exist with some diagonals.

These are examples of diagonal double squares of order 4:

B A R N
A R E A
L I A R
L A D Y
S L A M
T I L E
E A T S
P R O S
T A N S
A R E A
L I O N
L A N D

Word rectangles[edit]

Word rectangles are based on the same idea as double word squares, but the horizontal and vertical words are of a different length. Here are 4×8 and 5×7 examples:

F R A C T U R E
O U T L I N E D
B L O O M I N G
S E P T E T T E
G L A S S E S
R E L A P S E
I M I T A T E
S M E A R E D
T A N N E R Y

Again, the rows and columns can be transposed to form another valid rectangle. For example, a 4×8 rectangle can also be written as an 8×4 rectangle.

Higher dimensions[edit]

Word squares can be extended to the third and higher dimensions, such as the word cube and word tesseract below.[13]

K   │I   │N   │G
 I  │ D  │ E  │ A
  N │  E │  T │  S
   G│   A│   S│   H
────┼────┼────┼────
I   │D   │E   │A
 D  │ E  │ A  │ L
  E │  A │  R │  L
   A│   L│   L│   Y
────┼────┼────┼────
N   │E   │T   │S
 E  │ A  │ R  │ L
  T │  R │  I │  O
   S│   L│   O│   P
────┼────┼────┼────
G   │A   │S   │H
 A  │ L  │ L  │ Y
  S │  L │  O │  P
   H│   Y│   P│   E
ALA ROB TWO
AEN TEU ARN
RAA ARM EYE

EAN IBA EAR
SRI YAS RIE
EAS OYE SAW

SON AEA TST
HAE ETH OII
AMP REU SLE

Other forms[edit]

Numerous other shapes have been employed for word-packing under essentially similar rules. The National Puzzlers’ League maintains a full list of forms which have been attempted.

See also[edit]

  • National Puzzlers’ League
  • Sator Square

References[edit]

  1. ^ Ferguson, Everett (1999). Encyclopedia of Early Christianity (2nd ed.). Routledge. p. 1002. ISBN 978-0815333197. Retrieved 16 September 2022. Rotas Sator (first century): Although the result is striking, the interpretation rests on the unlikely assumptions, and a non-Christian meaning is more probable.
  2. ^ «Sator square». Encyclopedia Britannica. Retrieved 17 September 2022.
  3. ^ Sheldon, Rose Mary (2003). «The Sator Rebus: An unsolved cryptogram?». Cryptologia. 27 (3): 233–287. doi:10.1080/0161-110391891919. S2CID 218542154. Retrieved 10 September 2022.
  4. ^ Griffiths, J. Gwyn (March 1971). «‘Arepo’ in the Magic ‘Sator’ Square». The Classical Review. New Series. 21 (1): 6–8. doi:10.1017/S0009840X00262999.
  5. ^ a b c d Eckler, A. Ross (2005). «A History of the Ten-Square». In Cipra, Barry Arthur; Demaine, Erik D.; Demaine, Martin L.; Rodgers, Tom (eds.). Tribute To A Mathemagician. A K Peters, Ltd. pp. 85–91. ISBN 978-1-56881-204-5. Retrieved 2008-08-25.
  6. ^ «Achalasia». Word Ways. August 2003.
  7. ^ Brandreth, Gyles (1986). Everyman’s Word Games. Book Club Associates. p. 90.
  8. ^ «Hunting the Ten-Square». Word Ways. May 2004.
  9. ^ Tentarelli, Eric (November 2020). «Large Word Squares in Latin». Word Ways. 53 (4).
  10. ^ Bartholdi, Laurent (1996). «Mots croisés mélanophobes» (PDF). Gazette des Mathématiciens (in French). 70.
  11. ^ Borgmann, Dmitri (1965). Language on Vacation. Charles Scribner’s Sons. p. 198.
  12. ^ Gooch, Rex (May 2004). «Hunting the Ten-Square». Word Ways. 37 (2).
  13. ^ Darryl Francis, ‘From Square to Hyperhypercube’, Word Ways: Vol. 4: Issue 3, Article 8, 1971

External links[edit]

  • Word Square — Free to play double word squares
  • Word Hash — Free to play word squares
  • Stairsteps — Daily double word squares and rectangles — Free M-Th

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A word square is a puzzle in which letters can be placed into the grid below so that words are formed both horizontally and vertically. In this puzzle, the same four words are formed in both directions.

the 4*4 grid

For example, the words saw, ate, and wet can be placed in a 3*3 grid as such:

S A W
A T E
W E T

In no particular order, the clues are as follows:

  • Old fashioned form of Ctrl+V.
  • Area of land surrounded by water.
  • To require.
  • An object conveying meaning.

bobble's user avatar

bobble

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asked Sep 29, 2021 at 17:08

PiGuy314's user avatar

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0

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The words are:

NEED, GLUE, ISLE, SIGN
Screenshot of the completed square.

«Old fashioned form of Ctrl+V.»

Glue is a synonym of paste. Not sure how old fashioned fits it though. I simply searched «define paste» and looked for four letter synonyms.

«Area of land surrounded by water.«

I initially thought holm, but isle is more common due to its similarity to island.

«To require.»

My thoughts immediately went to need, so I ran with it.

«An object conveying meaning.«

This one took me a moment, and I initially thought book. However, after re-reading the specification that «In this puzzle, the same four words are formed in both directions.«, sign was the only one that met this requirement.

answered Sep 29, 2021 at 18:01

Hazel へいぜる's user avatar

Hazel へいぜるHazel へいぜる

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1

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enter image description here
Old fashioned form of Ctrl-V (Paste) — GLUE
Area of land surrounded by water — ISLE
To require — NEED
An object conveying meaning — SIGN

answered Sep 29, 2021 at 18:05

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A crossword is a word puzzle that usually takes the form of a square or a rectangular grid of white- and black-shaded squares. The goal is to fill the white squares with letters, forming words or phrases that cross each other, by solving clues which lead to the answers. In languages that are written left-to-right, the answer words and phrases are placed in the grid from left to right («across») and from top to bottom («down»). The shaded squares are used to separate the words or phrases.

An American-style crossword grid layout

American-style crosswordsEdit

Crossword grids such as those appearing in most North American newspapers and magazines feature solid areas of white squares. Every letter is checked (i.e. is part of both an «across» word and a «down» word) and usually each answer must contain at least three letters. In such puzzles shaded squares are typically limited to about one-sixth of the total. Crossword grids elsewhere, such as in Britain, South Africa, India and Australia, have a lattice-like structure, with a higher percentage of shaded squares (around 25%), leaving about half the letters in an answer unchecked. For example, if the top row has an answer running all the way across, there will often be no across answers in the second row.

Another tradition in puzzle design (in North America, India, and Britain particularly) is that the grid should have 180-degree rotational (also known as «radial») symmetry, so that its pattern appears the same if the paper is turned upside down. Most puzzle designs also require that all white cells be orthogonally contiguous (that is, connected in one mass through shared sides, to form a single polyomino).

Substantial variants from the usual forms exist. Two of the common ones are barred crosswords, which use bold lines between squares (instead of shaded squares) to separate answers, and circular designs, with answers entered either radially or in concentric circles. «Free form» crosswords («criss-cross» puzzles), which have simple, asymmetric designs, are often seen on school worksheets, children’s menus, and other entertainment for children. Grids forming shapes other than squares are also occasionally used.

Puzzles are often one of several standard sizes. For example, many weekday newspaper puzzles (such as the American New York Times crossword puzzle) are 15×15 squares, while weekend puzzles may be 21×21, 23×23, or 25×25. The New York Times puzzles also set a common pattern for American crosswords by increasing in difficulty throughout the week: their Monday puzzles are the easiest and the puzzles get harder each day until Saturday. Their larger Sunday puzzle is about the same level of difficulty as a weekday-size Thursday puzzle.[1] This has led U.S. solvers to use the day of the week as a shorthand when describing how hard a puzzle is: e.g. an easy puzzle may be referred to as a «Monday» or a «Tuesday», a medium-difficulty puzzle as a «Wednesday», and a truly difficult puzzle as a «Saturday». One of the smallest crosswords in general distribution is a 4×4 crossword compiled daily by John Wilmes, distributed online by USA Today as «QuickCross» and by Universal Uclick as «PlayFour».

Typically clues appear outside the grid, divided into an across list and a down list; the first cell of each entry contains a number referenced by the clue lists. For example, the answer to a clue labeled «17 Down» is entered with the first letter in the cell numbered «17», proceeding down from there. Numbers are almost never repeated; numbered cells are numbered consecutively, usually from left to right across each row, starting with the top row and proceeding downward. Some Japanese crosswords are numbered from top to bottom down each column, starting with the leftmost column and proceeding right.

A person works on a crossword puzzle in the subway, New York City, 2008

Clues: conventions and typesEdit

American-style crossword clues, called straight or quick clues by those more familiar with cryptic puzzles, are often simple definitions of the answers. Often, a straight clue is not in itself sufficient to distinguish between several possible answers, either because multiple synonymous answers may fit or because the clue itself is a homonym (e.g., «Lead» as in to be ahead in a contest or «Lead» as in the element), so the solver must make use of checks to establish the correct answer with certainty. For example, the answer to the clue «PC key» for a three-letter answer could be ESC, ALT, TAB, DEL, or INS, so until a check is filled in, giving at least one of the letters, the correct answer cannot be determined.

In most American-style crosswords,[2] the majority of the clues in the puzzle are straight clues,[3] with the remainder being one of the other types described below.

Crossword clues are generally consistent with the solutions. For instance, clues and their solutions should always agree in tense, number, and degree.[4] If a clue is in the past tense, so is the answer: thus «Traveled on horseback» would be a valid clue for the solution RODE, but not for RIDE. Similarly, «Family members» would be a valid clue for AUNTS but not UNCLE, while «More joyful» could clue HAPPIER but not HAPPIEST.

CapitalizationEdit

Capitalization of answer letters is conventionally ignored; crossword puzzles are typically filled in, and their answer sheets published, in all caps. This ensures a proper name can have its initial capital letter checked with a non-capitalizable letter in the intersecting clue.

Some clue examples:

  • Fill-in-the-blank clues are often the easiest in a puzzle and a good place to start solving, e.g., «_____ Boleyn» = ANNE.
  • «Before and after» clues feature one word that is part of two phrases, often designated with parentheses and brackets, e.g., (Doing [____) keeper] = TIME.
  • A question mark at the end of clue usually signals that the clue/answer combination involves some sort of pun or wordplay, e.g., «Grateful?» = ASHES, since a grate might be full of them.
  • Most widely distributed American crosswords today (e.g., The New York Times, The Washington Post, The Boston Globe, USA Today, etc.) also contain colloquial answers, i.e., entries in the puzzle grid that try to replicate everyday colloquial language. In such a puzzle one might see phrases such as WHAT’S UP, AS IF, or WHADDYA WANT.

AbbreviationsEdit

The constraints of the American-style grid (in which every letter is checked) often require a fair number of answers not to be dictionary words. As a result, the following ways to clue abbreviations and other non-words, although they can be found in «straight» British crosswords, are much more common in American ones:

  • Abbreviations, the use of a foreign language, variant spellings, or other unusual word tricks are indicated in the clue. A crossword creator might choose to clue the answer SEN (as in the abbreviation for «senator») as «Washington bigwig: Abbr.» or «Member of Cong.», with the abbreviation in the clue indicating that the answer is to be similarly abbreviated.[5] The use of «Var.» indicates the answer is a variant spelling (e.g., EMEER instead of EMIR), while the use of foreign language or a foreign place name within the clue indicates that the answer is also in a foreign language. For example, ETE (été, French for «summer») might be clued as «Summer, in the Sorbonne». ROMA could be clued as «Italia’s capital», whereas the clue «Italy’s capital» would indicate the English spelling Rome.
  • The eight possible abbreviations for a position on a compass, e.g., NNW (north-northwest) or ESE (east-southeast), occur with some frequency. They can be clued as simply «Compass point», where the desired answer is determined by a combination of logic—since the third letter can be only E or W, and the second letter can be only N or S—and a process of elimination using checks. Alternatively, compass point answers are more frequently clued as «XXX to YYY direction», where XXX and YYY are two place names. For example, SSW might be clued as «New York to Washington DC dir». Similarly, a clue such as «Right on the map» means EAST. A clue could also consist of objects that point a direction, e.g., «vane dir.» or «windsock dir.».
  • Roman numerals, and arithmetic involving them, frequently appear as well; the clue «IV times III» (4×3) would yield XII (12).
  • In addition, partial answers are allowed in American-style crosswords, where the answer represents part of a longer phrase. For example, the clue «Mind your _____ Qs» gives the answer PSAND (Ps and).
  • Non-dictionary phrases are also allowed in answers. Thus, the clue «Mocked» could result in the grid entry LAUGHED AT.

ThemesEdit

Many American crossword puzzles feature a «theme» consisting of a number of long entries (generally three to five in a standard 15×15-square «weekday-size» puzzle) that share some relationship, type of pun, or other element in common. As an example, the New York Times crossword of April 26, 2005 by Sarah Keller, edited by Will Shortz, featured five themed entries ending in the different parts of a tree: SQUAREROOT, TABLELEAF, WARDROBETRUNK, BRAINSTEM, and BANKBRANCH.

The above is an example of a category theme, where the theme elements are all members of the same set. Other types of themes include:

  • Quote themes, featuring a famous quote broken up into parts to fit in the grid (and usually clued as «Quote, part 1», «Quote, part 2», etc.)
  • Rebus themes, where multiple letters or even symbols occupy a single square in the puzzle (e.g., BERMUDAΔ)
  • Addition themes, where theme entries are created by adding a letter, letters, or word(s) to an existing word or phrase. For example, «Crucial pool shot?» = CRITICAL MASSE (formed by taking the phrase «critical mass» and adding an «e» on the end. All the theme entries in a given puzzle must be formed by the same process (so another entry might be «Greco-Roman buddy?» = WRESTLING MATE—»wrestling mat» with an «e» added on). An example of a multiple-letter addition (and one that does not occur at the end of the entry) might be «Crazy about kitchen storage?» = CABINET FEVER (derived from «cabin fever»).[6]
  • Subtraction themes, the reverse of the above, where letters are removed to make a new word or phrase.[6]
  • Compound themes, where the starts or ends of the theme entries can all precede or follow another word, which is given elsewhere in the puzzle. For example, a puzzle with theme entries that begin with PAPER, BALL, and WATER and elsewhere in the puzzle, the word BOY clued as «Word that can follow the start of [theme entries]».[6]
  • Anniversary or tribute themes, commemorating a specific person, place, or event. For example, on October 7, 2011 The New York Times crossword commemorated the life of Apple CEO Steve Jobs who had died on October 5. Theme entries related to Jobs’ life included MACINTOSH, PIXAR, THINK DIFFERENT, CREATIVE GENIUS, STEVE JOBS, and APPLE.[6][7]
  • Synonym themes, where the theme entries all contain synonyms, e.g., a Los Angeles Times puzzle featuring a set of theme entries that contain the words RAVEN, JET, EBONY, and SABLE, all synonyms for «black»[6]
  • Numerous other types have been identified, including spoonerisms, poems, shifted letters, rhyming phrases, puns, homophones, and combinations of two or more of other types of themes.[6]

The Simon & Schuster Crossword Puzzle Series has published many unusual themed crosswords. «Rosetta Stone», by Sam Bellotto Jr., incorporates a Caesar cipher cryptogram as the theme; the key to breaking the cipher is the answer to 1 across. Another unusual theme requires the solver to use the answer to a clue as another clue. The answer to that clue is the real solution.

Indirect cluesEdit

Many puzzles feature clues involving wordplay which are to be taken metaphorically or in some sense other than their literal meaning, requiring some form of lateral thinking. Depending on the puzzle creator or the editor, this might be represented either with a question mark at the end of the clue or with a modifier such as «maybe» or «perhaps». In more difficult puzzles, the indicator may be omitted, increasing ambiguity between a literal meaning and a wordplay meaning. Examples:

  • «Half a dance» could clue CAN (half of CANCAN) or CHA (half of CHACHA).
  • If taken literally, «Start of spring» could clue MAR (for March), but it could also clue ESS, the spelled-out form of the starting letter S.
  • «Nice summer?» clues ETE, summer in Nice, France (été being French for «summer»), rather than a nice (pleasant) summer. This clue also takes advantage of the fact that in American-style crosswords, the initial letter of a clue is always capitalized, whether or not it is a proper noun. In this clue, the initial capitalization further obscures whether the clue is referring to «nice» as in «pleasant» or «Nice» as in the French city.
  • «Pay addition», taken literally, clues BONUS. When taken as an indirect clue, however, it could also clue OLA (the addition of -ola to pay- results in PAYOLA).

Other clue variationsEdit

Any type of puzzle may contain cross-references, where the answer to one clue forms part of another clue, in which it is referred to by number and direction. E.g., a puzzle might have 1-across clued as «Central character in The Lord of the Rings» = FRODO, with 17-down clued as «Precious object for 1-Across» = RING.

When an answer is composed of multiple or hyphenated words, some crosswords (especially in Britain) indicate the structure of the answer. For example, «(3,5)» after a clue indicates that the answer is composed of a three-letter word followed by a five-letter word. Most American-style crosswords do not provide this information.

MetapuzzlesEdit

Some crossword designers have started including a metapuzzle, or «meta» for short: a second puzzle within the completed puzzle.[8] After the player has correctly solved the crossword puzzle in the usual fashion, the solution forms the basis of a second puzzle. The designer usually includes a hint to the metapuzzle. For instance, the puzzle Eight Isn’t Enough by Matt Gaffney gives the clue «This week’s contest answer is a three-word phrase whose second word is ‘or’.»[9] The crossword solution includes the entries «BROUGHT TO NAUGHT», «MIGHT MAKES RIGHT», «CAUGHT A STRAIGHT», and «HEIGHT AND WEIGHT», which are all three-word phrases with two words ending in -ght. The solution to the meta is a similar phrase in which the middle word is «or»: «FIGHT OR FLIGHT».

Schrödinger or quantum puzzlesEdit

Some puzzle grids contain more than one correct answer for the same set of clues. These are called Schrödinger or quantum puzzles, alluding to the Schrödinger’s Cat thought experiment in quantum physics.[10] Schrödinger puzzles have frequently been published in venues including Fireball Crosswords and The American Values Club Crosswords, and at least ten have appeared in The New York Times since the late 1980s.[11] The daily New York Times puzzle for November 5, 1996, by Jeremiah Farrell, had a clue for 39 across that read «Lead story in tomorrow’s newspaper, with 43 Across (!).»[12] The answer for 43 across was ELECTED; depending on the outcome of that day’s Presidential Election, the answer for 39 across would have been correct with either CLINTON or BOBDOLE, as would each of the corresponding down answers.[13] On September 1, 2016, the daily New York Times puzzle by Ben Tausig had four squares which led to correct answers reading both across and down if solvers entered either «M» or «F».[14] The puzzle’s theme, GENDERFLUID, was revealed at 37 across in the center of the puzzle: «Having a variable identity, as suggested by four squares in this puzzle.»[15]

Cryptic crosswordsEdit

In cryptic crosswords, the clues are puzzles in themselves. A typical clue contains both a definition at the beginning or end of the clue and wordplay, which provides a way to manufacture the word indicated by the definition, and which may not parse logically. Cryptics usually give the length of their answers in parentheses after the clue, which is especially useful with multi-word answers. Certain signs indicate different forms of wordplay. Solving cryptics is harder to learn than standard crosswords, as learning to interpret the different types of cryptic clues can take some practice. In Great Britain and throughout much of the Commonwealth, cryptics of varying degrees of difficulty are featured in many newspapers.

The first crosswords with strictly cryptic clues appeared in the 1920s, pioneered by Edward Powys Mathers. He established the principle of cryptic crossword clues.[16] Cryptic crossword clues consist typically of a definition and some type of word play. Cryptic crossword clues need to be viewed two ways. One is a surface reading and one a hidden meaning.[17] The surface reading is the basic reading of the clue to look for key words and how those words are constructed in the clue. The second way is the hidden meaning. This can be a double definition, an anagram, homophone, or words backwards. There are eight main types of clues in cryptic crosswords.[17]

Types of cryptic cluesEdit

There are several types of wordplay used in cryptics. One is straightforward definition substitution using parts of a word. For example, in one puzzle by Mel Taub, the answer IMPORTANT is given the clue «To bring worker into the country may prove significant». The explanation is that to import means «to bring into the country», the «worker» is a worker ant, and «significant» means important. Here, «significant» is the straight definition (appearing here at the end of the clue), «to bring worker into the country» is the wordplay definition, and «may prove» serves to link the two. Note that in a cryptic clue, there is almost always only one answer that fits both the definition and the wordplay, so that when one sees the answer, one knows that it is the right answer—although it can sometimes be a challenge to figure out why it is the right answer. A good cryptic clue should provide a fair and exact definition of the answer, while at the same time being deliberately misleading.

Another type of wordplay used in cryptics is the use of homophones. For example, the clue «A few, we hear, add up (3)» is the clue for SUM. The straight definition is «add up», meaning «totalize». The solver must guess that «we hear» indicates a homophone, and so a homophone of a synonym of «A few» («some») is the answer. Other words relating to sound or hearing can be used to signal the presence of a homophone clue (e.g., «aloud», «audibly», «in conversation», etc.).

The double meaning is commonly used as another form of wordplay. For example, «Cat’s tongue (7)» is solved by PERSIAN, since this is a type of cat, as well as a tongue, or language. This is the only type of cryptic clue without wordplay—both parts of the clue are a straight definition.

Cryptics often include anagrams, as well. The clue «Ned T.’s seal cooked is rather bland (5,4)» is solved by NEEDS SALT. The straight definition is «is rather bland», and the word «cooked» is a hint to the solver that this clue is an anagram (the letters have been «cooked», or jumbled up). Ignoring all punctuation, «Ned T.’s seal» is an anagram for NEEDS SALT. Besides «cooked», other common hints that the clue contains an anagram are words such as «scrambled», «mixed up», «confused», «baked», or «twisted».

Embedded words are another common trick in cryptics. The clue «Bigotry aside, I’d take him (9)» is solved by APARTHEID. The straight definition is «bigotry», and the wordplay explains itself, indicated by the word «take» (since one word «takes» another): «aside» means APART and I’d is simply ID, so APART and ID «take» HE (which is, in cryptic crossword usage, a perfectly good synonym for «him»). The answer could be elucidated as APART(HE)ID.

Another common clue type is the «hidden clue» or «container», where the answer is hidden in the text of the clue itself. For example, «Made a dug-out, buried, and passed away (4)» is solved by DEAD. The answer is written in the clue: «maDE A Dug-out». «Buried» indicates that the answer is embedded within the clue.

There are numerous other forms of wordplay found in cryptic clues. Backwards words can be indicated by words like «climbing», «retreating», or «ascending» (depending on whether it is an across clue or a down clue) or by directional indicators such as «going North» (meaning upwards) or «West» (right-to-left); letters can be replaced or removed with indicators such as «nothing rather than excellence» (meaning replace E in a word with O); the letter I can be indicated by «me» or «one;» the letter O can be indicated by «nought», «nothing», «zero», or «a ring» (since it visually resembles one); the letter X might be clued as «a cross», or «ten» (as in the Roman numeral), or «an illiterate’s signature», or «sounds like your old flame» (homophone for «ex»). «Senselessness» is solved by «e», because «e» is what remains after removing (less) «ness» from «sense».

With the different types of wordplay and definition possibilities, the composer of a cryptic puzzle is presented with many different possible ways to clue a given answer. Most desirable are clues that are clean but deceptive, with a smooth surface reading (that is, the resulting clue looks as natural a phrase as possible). The Usenet newsgroup rec.puzzles.crosswords has a number of clueing competitions where contestants all submit clues for the same word and a judge picks the best one.

In principle, each cryptic clue is usually sufficient to define its answer uniquely, so it should be possible to answer each clue without use of the grid. In practice, the use of checks is an important aid to the solver.

Other variantsEdit

These are common crossword variants that vary more from a regular crossword than just an unusual grid shape or unusual clues; these crossword variants may be based on different solving principles and require a different solving skill set.

Cipher crosswordsEdit

Cipher crosswords were invented in Germany in the 19th century. Published under various trade names (including Code Breakers, Code Crackers, and Kaidoku), and not to be confused with cryptic crosswords (ciphertext puzzles are commonly known as cryptograms), a cipher crossword replaces the clues for each entry with clues for each white cell of the grid—an integer from 1 to 26 inclusive is printed in the corner of each. The objective, as any other crossword, is to determine the proper letter for each cell; in a cipher crossword, the 26 numbers serve as a cipher for those letters: cells that share matching numbers are filled with matching letters, and no two numbers stand for the same letter. All resultant entries must be valid words. Usually, at least one number’s letter is given at the outset. English-language cipher crosswords are nearly always pangrammatic (all letters of the alphabet appear in the solution). As these puzzles are closer to codes than quizzes, they require a different skillset; many basic cryptographic techniques, such as determining likely vowels, are key to solving these. Given their pangrammaticity, a frequent start point is locating where ‘Q’ and ‘U’ must appear.

Diagramless crosswordsEdit

In a diagramless crossword, often called a diagramless for short or, in the UK, a skeleton crossword or carte blanche, the grid offers overall dimensions, but the locations of most of the clue numbers and shaded squares are unspecified. A solver must deduce not only the answers to individual clues, but how to fit together partially built-up clumps of answers into larger clumps with properly set shaded squares. Some of these puzzles follow the traditional symmetry rule, others have left-right mirror symmetry, and others have greater levels of symmetry or outlines suggesting other shapes. If the symmetry of the grid is given, the solver can use it to his/her advantage.

Fill-in crosswordsEdit

A fill-in crossword (also known as crusadex or cruzadex) features a grid and the full list of words to be entered in that grid, but does not give explicit clues for where each word goes. The challenge is figuring out how to integrate the list of words together within the grid so that all intersections of words are valid. Fill-in crosswords may often have longer word length than regular crosswords to make the crossword easier to solve, and symmetry is often disregarded. Fitting together several long words is easier than fitting together several short words because there are fewer possibilities for how the long words intersect together. These types of crosswords are also used to demonstrate artificial intelligence abilities, such as finding solutions to the puzzle based on a set of determined constraints.[18]

CrossnumbersEdit

A crossnumber (also known as a cross-figure) is the numerical analogy of a crossword, in which the solutions to the clues are numbers instead of words. Clues are usually arithmetical expressions, but can also be general knowledge clues to which the answer is a number or year. There are also numerical fill-in crosswords.

Acrostic puzzlesEdit

An acrostic is a type of word puzzle, in eponymous acrostic form, that typically consists of two parts. The first is a set of lettered clues, each of which has numbered blanks representing the letters of the answer. The second part is a long series of numbered blanks and spaces, representing a quotation or other text, into which the answers for the clues fit. In most forms of the puzzle, the first letters of each correct clue answer, read in order from clue A on down the list, will spell out the author of the quote and the title of the work it is taken from; this can be used as an additional solving aid.

ArrowordEdit

The arroword is a variant of a crossword that does not have as many black squares as a true crossword, but has arrows inside the grid, with clues preceding the arrows. It has been called the most popular word puzzle in many European countries, and is often called the Scandinavian crossword, as it is believed to have originated in Sweden.[19]

HistoryEdit

Recreation of Arthur Wynne’s original crossword puzzle from December 21, 1913

Finalists competing in a crossword competition in New York City in 2019

The phrase «cross word puzzle» was first written in 1862 by Our Young Folks in the United States. Crossword-like puzzles, for example Double Diamond Puzzles, appeared in the magazine St. Nicholas, published since 1873.[20] Another crossword puzzle appeared on September 14, 1890, in the Italian magazine Il Secolo Illustrato della Domenica. It was designed by Giuseppe Airoldi and titled «Per passare il tempo» («To pass the time»). Airoldi’s puzzle was a four-by-four grid with no shaded squares; it included horizontal and vertical clues.[21]

Crosswords in England during the 19th century were of an elementary kind, apparently derived from the word square, a group of words arranged so the letters read alike vertically and horizontally, and printed in children’s puzzle books and various periodicals.

On December 21, 1913, Arthur Wynne, a journalist born in Liverpool, England, published a «word-cross» puzzle in the New York World that embodied most of the features of the modern genre. This puzzle is frequently cited as the first crossword puzzle, and Wynne as the inventor. An illustrator later reversed the «word-cross» name to «cross-word».[22][23][24]

Crossword puzzles became a regular weekly feature in the New York World, and spread to other newspapers; the Pittsburgh Press, for example, was publishing them at least as early as 1916[25] and The Boston Globe by 1917.[26]

A 1925 Punch cartoon about «The Cross-Word Mania». A man phones his doctor in the middle of the night, asking for «the name of a bodily disorder of seven letters, of which the second letter must be ‘N'».

By the 1920s, the crossword phenomenon was starting to attract notice. In October 1922, newspapers published a comic strip by Clare Briggs entitled «Movie of a Man Doing the Cross-Word Puzzle», with an enthusiast muttering «87 across ‘Northern Sea Bird’!!??!?!!? Hm-m-m starts with an ‘M’, second letter is ‘U’ … I’ll look up all the words starting with an ‘M-U …’ mus-musi-mur-murd—Hot Dog! Here ’tis! Murre!»[27] In 1923 a humorous squib in The Boston Globe has a wife ordering her husband to run out and «rescue the papers … the part I want is blowing down the street.» «What is it you’re so keen about?» «The Cross-Word Puzzle. Hurry, please, that’s a good boy.»[28] In The New Yorker‘s first issue, released in 1925, the «Jottings About Town» section wrote, «Judging from the number of solvers in the subway and ‘L’ trains, the crossword puzzle bids fair to become a fad with New Yorkers.»[29] In 1925, the New York Public Library reported that «The latest craze to strike libraries is the crossword puzzle», and complained that when «the puzzle ‘fans’ swarm to the dictionaries and encyclopedias so as to drive away readers and students who need these books in their daily work, can there be any doubt of the Library’s duty to protect its legitimate readers?»[30]

The first book of crossword puzzles was published by Simon & Schuster in 1924, after a suggestion from co-founder Richard Simon’s aunt. The publisher was initially skeptical that the book would succeed, and only printed a small run at first. The book was promoted with an included pencil, and «This odd-looking book with a pencil attached to it»[31] was an instant hit, leading crossword puzzles to become a craze of 1924. To help promote its books, Simon & Schuster also founded the Amateur Cross Word Puzzle League of America, which began the process of developing standards for puzzle design.[24][32]

The crossword puzzle fad received extensive attention, not all of it positive: In 1924, The New York Times complained of the «sinful waste in the utterly futile finding of words the letters of which will fit into a prearranged pattern, more or less complex. This is not a game at all, and it hardly can be called a sport … [solvers] get nothing out of it except a primitive form of mental exercise, and success or failure in any given attempt is equally irrelevant to mental development.»[33] A clergyman called the working of crossword puzzles «the mark of a childish mentality» and said, «There is no use for persons to pretend that working one of the puzzles carries any intellectual value with it.»[34] However, another wrote a complete Bible Cross-Word Puzzle Book. Also in 1925, Time magazine noted that nine Manhattan dailies and fourteen other big newspapers were carrying crosswords, and quoted opposing views as to whether «This crossword craze will positively end by June!» or «The crossword puzzle is here to stay!»[35] In 1925, The New York Times noted, with approval, a scathing critique of crosswords by The New Republic; but concluded that «Fortunately, the question of whether the puzzles are beneficial or harmful is in no urgent need of an answer. The craze evidently is dying out fast and in a few months it will be forgotten.»[36] and in 1929 declared, «The cross-word puzzle, it seems, has gone the way of all fads.»[37] In 1930, a correspondent noted that «Together with The Times of London, yours is the only journal of prominence that has never succumbed to the lure of the cross-word puzzle» and said that «The craze—the fad—stage has passed, but there are still people numbering it to the millions who look for their daily cross-word puzzle as regularly as for the weather predictions.»[38]

The term «crossword» first appeared in the Oxford English Dictionary in 1933.[39]

The New York Times began to publish a crossword puzzle on 15 February 1942, spurred on by the idea that the puzzle could be a welcome distraction from the harsh news of World War II. The New York Times‘s first puzzle editor was Margaret Petherbridge Farrar, who was editor from 1942 to 1969.[24] She was succeeded by Will Weng, who was succeeded by Eugene T. Maleska. Since 1993, they have been edited by Will Shortz, the Times fourth crossword editor.

Simon & Schuster continues to publish the Crossword Puzzle Book Series books that it began in 1924, currently under the editorship of John M. Samson. The original series ended in 2007 after 258 volumes. Since 2008, these books are now in the Mega series, appearing three times per year and each featuring 300 puzzles.

The British cryptic crossword was imported to the US in 1968 by composer and lyricist Stephen Sondheim in New York magazine. Until 2006, The Atlantic Monthly regularly featured a cryptic crossword «puzzler» by Emily Cox and Henry Rathvon, which combines cryptic clues with diabolically ingenious variations on the construction of the puzzle itself. In both cases, no two puzzles are alike in construction, and the intent of the puzzle authors is to entertain with novelty, not to establish new variations of the crossword genre.

In the United Kingdom, the Sunday Express was the first newspaper to publish a crossword on November 2, 1924, a Wynne puzzle adapted for the UK. The first crossword in Britain, according to Tony Augarde in his Oxford Guide to Word Games (1984), was in Pearson’s Magazine for February 1922.

The 2006 documentary Wordplay, about enthusiasts of The New York Times‘s puzzle, increased public interest in crosswords. It highlighted attendees of Will Shortz’s American Crossword Puzzle Tournament and other notable crossword enthusiasts, including former US president Bill Clinton and comedian Jon Stewart.[24]

World War IIEdit

In 1944, Allied security officers were disturbed by the appearance, in a series of crosswords in The Daily Telegraph, of words that were secret code names for military operations planned as part of Operation Overlord.

Some cryptologists for Bletchley Park were selected after doing well in a crossword-solving competition.[40]

RecordsEdit

According to Guinness World Records, May 15, 2007, the most prolific crossword compiler is Roger Squires of Ironbridge, Shropshire, UK. On May 14, 2007, he published his 66,666th crossword,[41] equivalent to 2 million clues. He is one of only four setters to have provided cryptic puzzles to The Times, The Daily Telegraph, The Guardian, the Financial Times and The Independent. He also holds the record for the longest word ever used in a published crossword—the 58-letter Welsh town Llanfairpwllgwyngyllgogerychwyrndrobwllllantysiliogogogoch clued as an anagram.

Enthusiasts have compiled a number of record-setting achievements in New York Times and other venues.[42]

  • The lowest word count in a published weekday-size 15×15 puzzle is the June 29, 2013 The New York Times crossword by Joe Krozel, with just 50 words.[43]
  • The fewest shaded squares in a 15×15 American crossword is 17 (leaving 208 white spaces), set by the July 27, 2012 Times crossword by Joe Krozel.[44]
  • The record for most crosswords published in The New York Times is held by Manny Nosowsky, who has had 241 puzzles in that outlet.
  • A N Prahlada Rao, crossword constructor from India, has recorded in the Limca Book of Records in 2016 for constructing highest number of crosswords in Indian regional languages. In 2019 his name has mentioned in the Kalam Book of World Records.[45][46]

Female crossword constructorsEdit

Women editors such as Margaret Farrar were influential in the first few decades of puzzle-making, and women constructors such as Bernice Gordon and Elizabeth Gorski have each contributed hundreds of puzzles to The New York Times.[47] However, in recent years the number of women constructors has declined. During the years that Will Weng and Eugene Maleska edited the New York Times crossword (1969–1993), women constructors accounted for 35% of puzzles,[48][49] while during the editorship of Will Shortz (1993–present), this percentage has gone down, with women constructors (including collaborations) accounting for only 15% of puzzles in both 2014 and 2015, 17% of puzzles published in 2016, 13%—the lowest in the «Shortz Era»—in 2017, and 16% in 2018.[50][51] Several reasons have been given for the decline in women constructors. One explanation is that the gender imbalance in crossword construction is similar to that in related fields, such as journalism, and that more freelance male constructors than females submit puzzles on spec to The New York Times and other outlets.[52] Another explanation is that computer-assisted construction and the increased influence of computational approaches in generating word lists may be making crossword construction more like STEM fields in which women are underrepresented for a number of factors.[48] However, it has also been argued that this explanation risks propagating myths about gender and technology.[53] Some have argued that the relative absence of women constructors and editors has had an influence on the content of the puzzles themselves, and that clues and entries can be insensitive regarding language related to gender and race.[54][55] Several approaches have been suggested to develop more women in the field, including mentoring novice women constructors and encouraging women constructors to publish their puzzles independently.[56][53]

Crossword venues other than New York Times have recently published higher percentages of women than that puzzle. In the spring of 2018, Patti Varol and Amy Reynaldo organized and edited a pack of 18 puzzles constructed by women called «Women of Letters».[57] Inspired by this, Laura Braunstein and Tracy Bennett launched The Inkubator, a «twice-monthly subscription service that will publish crosswords constructed by cis women, trans women, and woman-aligned constructors.»[58] The Inkubator raised over $30,000 in its initial Kickstarter campaign,[59] and began publishing puzzles on January 17, 2019. A book of 100 puzzles, Inkubator Crosswords: 100 Audacious Puzzles by Women and Nonbinary Creators, was published in 2022.[60] On February 8, 2023, they announced to subscribers that 2023 would be their final year as a subscription service.[61]

Non-English languagesEdit

Owing to the large number of words ending with a vowel, Italian crossword-makers have perhaps the most difficult task. The right margin and the bottom can be particularly difficult to put together. From such a perspective, Swedish crossword-makers have a far easier task. Especially in the large picture crosswords, both conjugation of verbs and declension of adjectives and nouns are allowed. A Swedish clue like «kan sättas i munnen» = «sked» («can be put in the mouth» = «spoon») can be grammatically changed; «den kan sättas i munnen» = «skeden»it can be put in the mouth» = «the spoon»), as the definite form of a noun includes declension.

OrthographyEdit

From their origin in New York, crosswords have spread to many countries and languages. In languages other than English, the status of diacritics varies according to the orthography of the particular language, thus:

  • in Afrikaans all diacritical markings are ignored. Words such as TEË (meaning opposed) and TEE (meaning tea) are both simply written TEE. The same goes for (say) and SE (belonging to) and many others.
  • in Czech and Slovak, diacritics are respected and ch, being considered one letter, occupies one square.
  • in Dutch crosswords, the ij digraph is considered one letter, filling one square, and the IJ and the Y (see Dutch alphabet) are considered distinct. Rules may vary in other word games.
  • in Esperanto crosswords, diacritics are respected, as they form separate letters (graphemes).[62]
  • in French, in Spanish and in Italian, accent marks and most other diacritical markings are ignored, except the tilde in Spanish: for instance, in French, the final E of answer ÊTRE can double as the final É of CONGÉ when written ETRE and CONGE; but in Spanish, N and Ñ are distinct letters.
  • In Frisian diacritics are fully respected.
  • in German language crosswords, the umlauts ä, ö, and ü are dissolved into ae, oe, and ue, and ß is dissolved into ss.
  • in Hungarian, diacritics are either fully respected, or not respected where they denote length: that is I/Í, O/Ó, Ö/Ő, U/Ú, Ü/Ű are considered the same, but not A/Á and E/É which mark different sounds; although the difference between the short/long pairs of letters is a distinctive feature in Hungarian. Digraphs fill two squares.
  • in Irish crosswords, the accents on Á É Í Ó Ú are all respected, so (for example) the Í in SÍB cannot double as the I in SLIABH.
  • in Latin, diacritics are ignored. Therefore, A is considered the same as Ă or Ā. Ecclesiastical Latin is normally used. See the monthly magazine of Latin crosswords Hebdomada Aenigmatum as a reference.[63]
  • in Portuguese, diacritics are ignored with the exception of Ç. Therefore, A could be checked with à or Á.
  • in Romanian, diacritics are ignored.
  • in Russian, Ё doubles as Е but Й is considered different from И; the soft sign Ь and the hard sign Ъ occupy a separate square, different from that of the previous letter.
  • in Spanish crosswords, the digraphs ch and ll fill two squares, although in some old crosswords (from prior to the 1996 spelling reform) they filled one square.

Person solving a Finnish crossword puzzle

Grid design, clues, and conventionsEdit

  • Barred grid where bold bars are used instead of shaded blocks to separate the words

French-language crosswords are smaller than English-language ones, and not necessarily square: there are usually 8–13 rows and columns, totaling 81–130 squares. They need not be symmetric and two-letter words are allowed, unlike in most English-language puzzles. Compilers strive to minimize use of shaded squares. A black-square usage of 10% is typical; Georges Perec compiled many 9×9 grids for Le Point with four or even three black squares.[64] Rather than numbering the individual clues, the rows and columns are numbered as on a chessboard. All clues for a given row or column are listed, against its number, as separate sentences.

In Italy, crosswords are usually oblong and larger than French ones, 13×21 being a common size. As in France, they usually are not symmetrical; two-letter words are allowed; and the number of shaded squares is minimized. Nouns (including surnames) and the infinitive or past participle of verbs are allowed, as are abbreviations; in larger crosswords, it is customary to put at the center of the grid phrases made of two to four words, or forenames and surnames. A variant of Italian crosswords does not use shaded squares: words are delimited by thickening the grid. Another variant starts with a blank grid: the solver must insert both the answers and the shaded squares, and across and down clues are either ordered by row and column or not ordered at all.

Modern Hebrew is normally written with only the consonants; vowels are either understood, or entered as diacritical marks. This can lead to ambiguities in the entry of some words, and compilers generally specify that answers are to be entered in ktiv male (with some vowels) or ktiv haser (without vowels). Further, since Hebrew is written from right to left, but Roman numerals are used and written from left to right, there can be an ambiguity in the description of lengths of entries, particularly for multi-word phrases. Different compilers and publications use differing conventions for both of these issues.

In the Japanese language crossword; because of the writing system, one syllable (typically katakana) is entered into each white cell of the grid rather than one letter, resulting in the typical solving grid seeming small in comparison to those of other languages. Any second Yōon character is treated as a full syllable and is rarely written with a smaller character. Even cipher crosswords have a Japanese equivalent, although pangrammaticity does not apply. Crosswords with kanji to fill in are also produced, but in far smaller number as it takes far more effort to construct one. Despite Japanese having three writing forms — hiragana, katakana, and kanji — they are rarely mixed in a single crossword puzzle. The design of Japanese crossword grids often follows two additional rules: that shaded cells may not share a side (i.e. they may not be orthogonally contiguous) and that the corner squares must be white.

A. N. Prahlada Rao, based in Bangalore, has composed/ constructed some 35,000 crossword puzzles in the language Kannada, including 7,500 crosswords based on films made in Kannada, with a total of 10,00,000 (ten lakhs, or one million) clues.[65][66] His name was recorded in the Limca Book Of Records in 2015 for creating the highest number of crosswords in any Indian Regional Language. He continued to hold this title through 2016 and 2017.[67] In 2008, a five volume set of his puzzles was released, followed by 7 more volumes in 2017.[68] Bengali is also well known for its crossword puzzles. Crosswords are published regularly in most Bengali dailies and periodicals. The grid system is similar to the British style and two-letter words are usually not allowed.

In Poland, crosswords typically use British-style grids, but some do not have shaded cells. Shaded cells are often replaced by boxes with clues—such crosswords are called Swedish puzzles or Swedish-style crosswords. In a vast majority of Polish crosswords, nouns are the only allowed words.

Swedish crosswords are mainly in the illustrated (photos or drawings), in-line clue style typical of the «Swedish-style grid». The «Swedish-style» grid (picture crosswords) uses no clue numbers. Instead, clues are contained in the cells which do not contain answers, with arrows indicating where and in what direction to fill in answers. Arrows can be omitted from clue cells, in which case the convention is for the answer to go horizontally to the right of the clue cell, or – if the clue cell is split vertically and contains two clues – for the answer to go horizontally to the right for the top clue and vertically below for the bottom clue. This style of grid is also used in several countries other than Sweden, often in magazines, but also in daily newspapers. The grid often has one or more photos replacing a block of squares as a clue to one or several answers; for example, the name of a pop star, or some kind of rhyme or phrase that can be associated with the photo. These puzzles usually have no symmetry in the grid but instead often have a common theme (literature, music, nature, geography, events of a special year, etc.) This tradition prospered already in the mid-1900s, in family magazines and sections of newspapers. Then the specialised magazines took off. Around the turn of the millennium, approximately half a dozen Swedish magazine publishers produced specialised crossword magazines, totaling more than twenty titles, often published on a monthly basis. The oldest extant crossword magazine published in Swedish is Krysset[69] (from Bonnier), founded in 1957. Additionally, nearly all newspapers publish crosswords of some kind, and at weekends often devote specialised sections in the paper to crosswords and similar type of pastime material. Both major evening dailies (Aftonbladet and Expressen) publish a weekly crossword supplement, named Kryss & Quiz and Korsord[70] respectively. Both are available as paid supplements on Mondays and Tuesdays, as part of the ongoing competition between the two newspapers.

ConstructionEdit

American-style crosswordsEdit

In typical themed American-style crosswords, the theme is created first, as a set of symmetric long across answers will be needed around which the grid can be created.[71][72] Since the grid will typically have 180-degree rotational symmetry, the answers will need to be also: thus a typical 15×15 square American puzzle might have two 15-letter entries and two 13-letter entries that could be arranged appropriately in the grid (e.g., one 15-letter entry in the third row, and the other symmetrically in the 13th row; one 13-letter entry starting in the first square of the 6th row and the other ending in the last square of the 10th row).[72][73] The theme must not only be funny or interesting, but also internally consistent. In the April 26, 2005 by Sarah Keller mentioned above, the five themed entries contained in the different parts of a tree: SQUAREROOT, TABLELEAF, WARDROBETRUNK, BRAINSTEM, and BANKBRANCH. In this puzzle, CHARTER OAK would not be an appropriate entry, as all the other entries contain different parts of a tree, not the name of a kind of tree. Similarly, FAMILY TREE would not be appropriate unless it were used as a revealer for the theme (frequently clued with a phrase along the lines «… and a hint to …«). Given the existing entries, SEED MONEY would also be unacceptable, as all the other theme entries end in the part of a tree as opposed to beginning with it, though the puzzle could certainly be changed to have a mix of words in different positions.[71]

Once a consistent, appropriate theme has been chosen, a grid is designed around that theme, following a set of basic principles:

  • Generally, most American puzzles are 15×15 squares; if another size, they typically have an odd number of rows and columns: e.g., 21×21 for «Sunday-size» puzzles; Games magazine will accept 17×17 puzzles, Simon & Schuster accepts both 17×17 and 19×19 puzzles, and The New York Times requires diagramless puzzles to be 17×17.[74] The odd number of squares on a side ensures that achieving symmetry is easier; with even-numbered puzzles the central block of four squares makes constructing a symmetrical puzzle considerably more difficult.[75]
  • The black squares must be arranged so as to (1) ensure there are no two-letter words; (2) form 180-degree rotational symmetry (so that if the grid is turned upside-down, the pattern of black squares remains the same); (3) ensure that every letter is checked (appears in both an across and a down word); (4) not occupy too much of the puzzle (generally speaking, 16% of the puzzle is considered a rough limit for the percentage of black squares); (5) ensure that the entire puzzle has «all-over interlock»—that is, that the black squares do not «cut» the puzzle into separate sections; and (6) ensure that (generally) no non-theme entry is longer than any of the theme entries. In addition, it is considered advisable to minimize the number of so-called «cheater» black squares, i.e., black squares whose removal would not change the word count of the puzzle but which make it easier to fill by shortening the length of the words therein.[72][73][76]
  • The grid is then filled with suitable words, keeping in mind that (1) no word can be repeated in the grid (with the exception of prepositions or articles); (2) profanity or graphic or «unpleasant» words are generally not allowed; (3) obscurity is strongly discouraged in easy puzzles and should be kept to a minimum in more difficult puzzles, where two obscure words should never be allowed to cross (and, ideally, where the obscure word would be of interest to most solvers—a genus of little-known water bugs would not be a good choice); (4) uncommon abbreviations and variant foreign spellings should be avoided, as well as the use of crosswordese (those words that no longer appear in common speech but that occur frequently in crosswords due to their favorable letter combinations, such as the Asian buffalo ANOA); (5) in modern puzzles, pop figures and corporate and brand names are generally considered acceptable; (6) no made-up words are permitted—there should be a dictionary or other reference that can cite each entry if asked.[72][76]
  • Modern constructors frequently (although not always) use software to speed up the task. Several programs are available, of which the most widely accepted is Crossword Compiler.[71] These programs, although they cannot create themes and cannot distinguish between «good» fill (fun, interesting words vs. dull obscurity), do speed up the process and will allow the constructor to realize if he or she has hit a dead end.[77]

Crossword puzzle payments for standard 15×15 puzzles from the major outlets range from $50 (Games) to $500 (The New York Times) while payments for 21×21 puzzles range from $250 (Newsday) to $1,500 (The New York Times).[78]

The compensation structure of crosswords generally entails authors selling all rights to their puzzles upon publication, and as a result receiving no royalties from republication of their work in books or other forms.

SoftwareEdit

Software that aids in creating crossword puzzles has been written since at least 1976;[79] one popular example was Crossword Magic for the Apple II in the 1980s.[80] The earliest software relied on people to input a list of fill words and clues, and automatically maps the answers onto a suitable grid. This is a search problem in computer science because there are many possible arrangements to be checked against the rules of construction. Any given set of answers might have zero, one, or multiple legal arrangements. Modern open source libraries exist that attempt to efficiently generate legal arrangements from a given set of answers.[81]

In the late 1990s, the transition began from mostly hand-created arrangements to computer-assisted, which creators generally say has allowed authors to produce more interesting and creative puzzles, reducing crosswordese.[82]

Modern software includes large databases of clues and answers, allowing the computer to randomly select words for the puzzle, potentially with guidance from the user as to the theme or a specific set of words to pick with greater probability. Many serious users add words to the database as an expression of personal creativity or for use in a desired theme. Software can also be used to assist the user in finding words for a specific spot in an arrangement by quickly searching through the dictionary for all words that fit.[82]

In 1998 in Jakarta, publisher Elex Media Komputindo (Gramedia Group) published crossword software entitled «Teka-Teki Silang Komputer» (Computerized Crossword Puzzle [Eng]) in diskette form. It is the first Crossword Puzzle software which published in Indonesia. It’s the kind of software of game that can only be played on a PC offline. This software is the created by Sukmono Bayu Adhi. The archive is still stored in the National Library of the Republic of Indonesia (Salemba Library, Jakarta).[83]

NotationEdit

Originally Petherbridge called the two dimensions of the crossword puzzle «Horizontal» and «Vertical». Among various numbering schemes, the standard became that in which only the start squares of each word were numbered, from left to right and top to bottom. «1 Horizontal» and «1 Vertical» and the like were names for the clues, the cross words, or the grid locations, interchangeably.

Later in the Times these terms commonly became «across» and «down» and notations for clues could either use the words or the letters «A» and «D», with or without hyphens.

For the Visually ImpairedEdit

There are at least 2.2 billion people globally who have a near or distance vision impairment[84]. There are many challenges in ensuring that a crossword puzzle for the visually impaired users is accessible, equitable, and functional.

Many crossword puzzles exist online, but only a few are accessible to blind users. The main accessibility needs of blind users usually involve audio output, in addition to keyboard access to the application functionality. However, these two techniques are usually insufficient to be considered a crossword puzzle genuinely accessible to blind users.

There are certain ways to try and improve the usability for the visually impaired. One research team, presented a preliminary version of their own accessible crossword puzzle called A-Cross.[85] Some features included:

  • Automatic announcement of the number of letters constituting the corresponding answer, when a clue is announced.
  • Automatic announcement of the letters that have been already completed for a clue, by solving other related clues.
  • Audio feedback for the correct answer to a clue.
  • Audio feedback for correctly typed letters when answering a clue. This feature can be activated or not, according to each individual user’s preferences.
  • Elimination of the already solved clues from the clues list. This is an important feature, aiming to speed up the crossword solving process, by discarding all the unnecessary information. The reasoning behind this feature is to simulate the mental model of a sighted user, who would not revisit a correctly answered clue. This feature is initially automatically enabled, however users may disable it.
  • Enlarged interface for low vision users and high color contrast interface for color blind users.

These features are helpful in giving users more opportunities to incorporate their own strategies while playing.

See alsoEdit

  • Bananagrams
  • Cross Sums
  • Crosswordese
  • Merv Griffin’s Crosswords, a crossword-based game show that debuted in fall 2007
  • People Puzzler, a game show based on the pop-culture crossword puzzles in People Magazine, currently airing on Game Show Network
  • Scrabble (see also Scrabble variants)
  • Str8ts
  • Sudoku
  • The Cross-Wits, a crossword-based game show that ran in the 1970s and 1980s
  • Upwords
  • Wheel of Fortune, a letter-based game show that incorporated crosswords in 2016
  • Word search
  • Wordplay, a 2006 documentary film about crossword puzzles

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Further readingEdit

  • The Crossword Obsession by Coral Amende ISBN 0-425-18157-X
  • Crossworld by Marc Romano ISBN 0-7679-1757-X
  • Alan Connor (2015). The Crossword Century: 100 Years of Witty Wordplay, Ingenious Puzzles, and Linguistic Mischief. Avery. ISBN 978-1592409389.

External linksEdit

  Media related to Crosswords at Wikimedia Commons

  • Why are crossword puzzles symmetrical? (from The Straight Dope)

The Sator Square. (Ancient Rome, actual date unknown)

A word square is made up of words, all the same length, that read the same across and down.  A simple one would be

S A T

A R E

T E N

The longer they get, the more complex and challenging they are to make. Even with the aid of a computer, it has proven impossible to create a “perfect” 10 letter/word square, meaning on made of complete words without any proper nouns. The only way to actually do it is to use tautonyms: word pairs that repeat a single word, such as “rangaranga.”

There are reportedly, however, about 900 9 letter/word squares, although they require some incredibly obscure words and names, so there may be proper nouns.

Q U A R E L E S T

U P P E R E S T E

A P P O I N T E R

R E O M E T E R S

E R I E V I L L E

L E N T I L L I N

E S T E L L I N E

T E R S E N E S S

I’ve constructed a pretty simple one of 5 letters/words. Let’s see if you can figure out the words from these clues. Remember, each word is 5 letters, and is written vertically and horizontally. I have not attempted to make it a “perfect” square.

1. Kind of queen
2. Repeated
3. Town for a bell
4. Not of age
5. To worship

Word Square puzzles are simple to play.

They are small crossword type puzzles played on a square grid, typically a small grid of 4×4 or 5×5 in size.

The aim is to work out the answer to each of the clues that are provided alongside the word square and write them in the grid.

There is a novel feature of word squares that really helps you to solve them, and this is the fact that when complete the grid will read the same from top to bottom as it does from left to right!


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ВЕЧНОСТЬ30>ЛИЧНОСТЬ имена

Объединив общие имена и фамилии и проверив результаты в списках на белых страницах, Стив Рут из Вестборо, Массачусетс смог задокументировать существование всех десяти имен, указанных ниже (общее количество людей найдено указано после каждой строки):

LEOWADDELL 1
EMMANEELEY 1
OMARGALVAN 5
WARRENLIND 9
ANGELHANNA 2
DEANHOPPER 10+
DELLAPOOLE 3
ELVINPOOLE 3
ЛИАНН LLIS 3
LYNDAREESE 5
Географические названия

Примерно в 2000 году Рекс Гуч из Летчворта, Англия, проанализировал доступные списки слов и компьютерные требования и составил одну или две сотни специализированных словарей и указателей для обеспечения достаточно сильный словарный запас. Самый крупный источник — Совет США по географическим названиям Национальное агентство изображений и карт. В журнале Word Ways в августе и ноябре 2002 года он опубликовал несколько квадратов, найденных в этом списке слов. Квадрат, представленный ниже, был признан некоторыми экспертами по квадратам слов по существу как решение проблемы 10 квадратов (Daily Mail, The Times), в то время как другие ожидают, что в будущем будут 10 квадратов более высокого качества.

DESCENDANT
ECHENEIDAE
КОРОТКИ
CERBERULUS
ENTEROMERE
NECROLATER
DIOUMABANA
ADALETABAT
NATURENAME
TESSERATED

Есть несколько «недостатков»: «Echeneidae » пишется с заглавной буквы, «Диумабана» и «Адалетабат» — это места (в Гвинее и Турция соответственно), а «имя природы» переносится через дефис.

В последнее время появилось много новых больших квадратов слов и новых видов. Однако современная комбинаторика продемонстрировала, почему на поиск 10-квадрата потребовалось так много времени и почему крайне маловероятно, что 11-квадрат можно построить с использованием английских слов (даже включая транслитерированные названия мест). Однако 11 квадратов возможны, если разрешены слова из нескольких языков (Word Ways, август 2004 г. и май 2005 г.).

Словарь

Можно оценить степень сложности построения квадратов слов. 5-квадраты могут быть построены с использованием всего 250 слов словаря. Грубо говоря, на каждый шаг вверх нужно в четыре раза больше слов. Для 9-квадрата нужно более 60 000 9-буквенных слов, практически все, что есть в отдельных очень больших словарях.

Для больших квадратов словарь предотвращает выбор более «желательных» слов (то есть слов, которые не переносятся, обычно используются, без надуманных перегибов и заглавными буквами), и в любых результирующих квадратах слов используются экзотические слова. Противоположная проблема возникает с маленькими квадратами: компьютерный поиск выдаст миллионы примеров, в большинстве из которых используется хотя бы одно непонятное слово. В таких случаях поиск квадрата слова с «желательными» (как описано выше) словами выполняется путем исключения более экзотических слов или использования меньшего словаря, содержащего только общие слова. Квадраты меньшего размера, используемые для развлечения, должны иметь простые решения, особенно если они заданы как задание для детей; но словарный запас в большинстве восьми квадратов проверяет знания образованного взрослого.

Вариант формы

Квадраты двойного слова

Квадраты слов, которые образуют разные слова поперек и вниз, известны как «квадраты двойных слов». Примеры:

TOO. URN. BEE LACK. IRON. MERE. BAKE SCENT. CANOE. ARSON. РУС. ФЛОТ ДОПУСКАЕТ. МЕРТВ. СЕРЕНА. ОПИАТ. АРЕНДА. ПОРОДЫ

Строки и столбцы любого квадрата двойного слова можно транспонировать в сформировать еще один действительный квадрат. Например, квадрат 4-го порядка выше также может быть записан как:

КОНЕЧНОСТЬ. ОБЛАСТЬ. ПРОБКА. КОЛЕНЬ

Квадраты с двойными словами несколько труднее найти, чем квадраты обычных слов, с наибольшим известные полностью законные примеры на английском языке (только слова из словаря) имеют порядок 8. Puzzlers.org приводит пример порядка 8, датируемый 1953 годом, но он содержит шесть географических названий. Пример Джеффа Гранта в «Word Ways» за февраль 1992 г. является усовершенствованием, поскольку в нем всего два собственных существительных («Алоизиас», множественное число от личного имени Алоизия, женская форма Алоизия, и «Тхамната», библейское географическое название):

TRATTLED
HEMERINE
APOTOMES
METAPORE
ГВОЗДИ
ALOISIAS
TENTMATE
ОЦЕНКА

Диагональные квадраты слов

Диагональные квадраты слов — это квадраты слов в главные диагонали которых тоже слова. Есть четыре диагонали: верхний левый — нижний правый, нижний правый — верхний левый, верхний правый — нижний левый и нижний левый — верхний правый. В одном диагональном квадрате (одни и те же слова читаются поперек и вниз) последние два должны быть идентичными и палиндромными из-за симметрии. Восьмерка — самая большая из найденных со всеми диагоналями: есть 9 квадратов с некоторыми диагоналями.

Это пример диагонального двойного квадрата четвертого порядка:

БАРН. ОБЛАСТЬ. ЛЖАР. ЛЕДИ

Словесные прямоугольники

Словесные прямоугольники основаны по той же идее, что и квадраты двойных слов, но горизонтальные и вертикальные слова имеют разную длину. Вот примеры 4 × 8 и 5 × 7:

РАЗРУШЕНИЕ. ОБНАРУЖЕНИЕ. РАСПРОСТРАНЕНИЕ. СЕПТЕТ ОЧКИ. ПЕРЕЗАГРУЗКА. ИМИТАЦИЯ. ИЗМЕЛЬЧЕННАЯ. МОНТАЖ

Опять же, строки и столбцы можно транспонировать, чтобы сформировать другой допустимый прямоугольник. Например, прямоугольник 4 × 8 можно также записать как прямоугольник 8 × 4.

Другие формы

Многие другие формы использовались для упаковки слов по схожим правилам. Национальная лига головоломок ведет полный список попыток использования форм.

См. Также

  • Национальная лига головоломок
  • Sator Square

Ссылки

Внешние ссылки

  • Word Square — играйте в квадраты с двойными словами

Контакты: mail@wikibrief.org

Последняя правка сделана 2021-06-21 01:02:46

Содержание доступно по лицензии CC BY-SA 3.0 (если не указано иное).

Слово квадрат представляет собой особый тип акростих . Он состоит из набора слов, записанных в квадратной сетке, так что одни и те же слова можно читать как по горизонтали, так и по вертикали. Количество слов, равное количеству букв в каждом слове, называется «порядком» квадрата. Например, это квадрат порядка 5:

СЕРДЦЕ
EMBER
ЗЛОУПОТРЕБЛЯТЬ
СМОЛА
ТРЕНД

Популярная головоломка, восходящая к древним временам, слово квадрат иногда сравнивают с магическим квадратом , хотя, помимо того факта, что оба используют квадратные сетки, между ними нет реальной связи.

Ранняя история

Площадь Сатор

Площадь Сатора — известное слово на латыни . Его каноническая форма выглядит следующим образом.

САТОР
АРЕПО
ДОГМАТ
ОПЕРА
РОТАС

В дополнение к удовлетворению основных свойств квадратов слов, квадрат Сатора получил широкое распространение благодаря нескольким другим атрибутам: он является палиндромным ; это может быть прочитано как предложение неясного значения; и дополнительное значение, такое как ссылка на христианскую молитву Патерностера, может быть получено из ее букв. Однако слово «Арепо» больше нигде в латинской литературе не встречается; большинство из тех, кто изучал квадрат Сатора, согласны с тем, что его следует рассматривать как собственное имя, либо адаптацию нелатинского слова, либо, что более вероятно, имя, придуманное специально для этого предложения. Таким образом, квадрат состоит из палиндрома («принцип»), переворота («сатор» и «ротас») и слова («опера»), которое может быть преобразовано в удачно придуманное имя («Арепо»).

Абрамелин Маг

Если «слова» в словесном квадрате не обязательно должны быть истинными словами, можно построить произвольно большие квадраты произносимых комбинаций. Следующий набор букв 12 × 12 появляется в еврейской рукописи «Книги священной магии Абрамелина-мага 1458 года», которая, как говорят, была «дана Богом и завещана Авраамом». Английское издание появилось в 1898 году. Это квадрат 7 главы IX Третьей книги, который полон неполных и полных «квадратов».

ИСИЧАДАМИОН
СЕРРАРЕПИНТО
ИРААСИМЕЛЕЙС
КРАТИБАРИНСИ
ХАСИНАСУОТИР
АРИБАТИНТИРА
DEMASICOANOC
АПЕРУНОИБЕМИ
МИЛИОТАБУЛЕЛ
INENTINELA
ОТИСИРОМЕЛИР
NOSIRACILARI

Никакого источника или объяснения для любого из «слов» не дается, поэтому этот квадрат не соответствует стандартам для допустимых квадратов слов. Современные исследования показывают, что построить 12-квадрат из проиндексированных слов и фраз практически невозможно даже при использовании большого количества языков. Однако столь же большие квадраты на английском языке, состоящие из произвольных фраз, содержащих словарные слова, построить относительно легко; они тоже не считаются настоящими квадратами слов, но они были опубликованы в The Enigma и других журналах, посвященных головоломкам, как квадраты «Нечто другое».

Современные английские площади

Образец квадрата порядка шести (или 6 квадратов) был впервые опубликован на английском языке в 1859 году; 7-квадрат 1877 г .; 8-квадрат 1884 г .; и 9-й квадрат 1897 года.

Вот примеры квадратов английских слов до восьми:

Таблица квадратов слов

А НЕТ НЕМНОГО КАРТА СЕРДЦЕ ГАРТЕР БРАВАДО Боковые стороны
НА ЛЕД ОБЛАСТЬ EMBER СРЕДНИЙ ПЕРЕИМЕНОВАН АКСОНЕМАЛ
ДЕСЯТЬ ЗАДНИЙ ЗЛОУПОТРЕБЛЯТЬ ЧИТАТЬ АНАЛОГИЯ TOEPLATE
DART СМОЛА TRIBAL ЦЕННОСТИ ЗАПИСАНО
ТРЕНД ИМУЩЕСТВО AMOEBAS ПЕРЕНАПРАВЛЕН
БИЛЕТ УМЕНЬШИТЬ АМАНДИН
ОДИССЕЯ LATEENER
СЛАДЕРЫ

Ниже приводится один из нескольких «идеальных» девяти квадратов в английском языке (все слова в основных словарях, без заглавных букв и без пунктуации):

АХАЛАЗИЯ
CRENIDENS
ГЕКСАНДРИЧЕСКИЙ
АНАБОЛИТ
ЛИНОЛЕНИН
ADDLEHEAD
СЕРИНЕТТА
ИНИЦИАТОР
Восходящие

Заказать 10 квадратов

10-квадрат, естественно , гораздо труднее найти, и «идеальный» 10 квадратных на английском языке было охотились с 1897 года он был назван Святой Грааль из логология .

Различные методы дали частичные результаты к проблеме 10 квадратов:

Тавтонимы

С 1921 года из повторяющихся слов и фраз, таких как «Алала! Алала!» , Были построены 10 квадратов. (повторяющееся греческое междометие). Каждый такой квадрат содержит пять слов, встречающихся дважды, что в действительности представляет собой четыре одинаковых 5-квадрата. Дэррилу Фрэнсису и Дмитрию Боргманну удалось использовать почти тавтонимы (дублирование второго и третьего порядка) для использования семи различных слов, объединив « орангутанг » с «урангутанг» и «ранга-ранга» с «танга-танга» следующим образом:

ORANGUTANG
РАНГАРАНГА
АНДОЛАНДОЛ
НГОТАНГОТА
ГАЛАНГАЛАН
УРАНГУТАНГ
ТАНГАТАНГА
АНДОЛАНДОЛ
НГОТАНГОТА
ГАЛАНГАЛАН

Однако «исследователи слова всегда считали тавтонимный десятичный квадрат неудовлетворительным решением проблемы».

80% раствор

В 1976 году Фрэнк Рубин создал неполный квадрат из десяти, содержащий две бессмысленные фразы вверху и восемь словарных слов. Если бы можно было найти два слова, содержащие шаблоны «SCENOOTL» и «HYETNNHY», это стало бы целым десятиугольником.

Созданный словарный запас

С 1970-х годов Джефф Грант имел долгую историю создания хорошо построенных площадей; сконцентрировавшись на десятиугольнике с 1982 по 1985 год, он произвел первые три традиционных десятиугольника, полагаясь на разумные монеты, такие как «Sol Springs» (различные сохранившиеся люди по имени Sol Spring) и «ses tunnels» (по-французски «его туннели») «). Его продолжающаяся работа произвела одну из лучших работ в этом жанре, используя слова «беспристрастность» (можно найти в Интернете) и множественное число «Тони Нейдер» (можно найти на белых страницах ), а также слова, проверенные в более традиционных источниках:

ОТСУТСТВИЕ
НЕПОЛЯРНОСТЬ
СПИНАЦИНЫ
ТОНИНАДЕРЫ
АЛАНБРАУН
ЛАКАРОЛИНА
ИРИДОЛИНЫ
МИЛОСЕРДИЕ
ВЕЧНОСТЬ
ДИССЕРИИ
Личные имена

Объединив общие имена и фамилии и проверив результаты в списках на белых страницах, Стив Рут из Вестборо, Массачусетс , смог задокументировать существование всех десяти имен ниже (общее количество найденных людей указано после каждой строки):

LEOWADDELL 1
ЭММАНИЛИ 1
ОМАРГАЛВАН 5
УОРРЕНЛИНД 9
АНГЕЛХАННА 2
DEANHOPPER 10+
ДЕЛЛАПУЛ 3
ELVINPOOLE 3
ЛЕННЕЛЛИС 3
LYNDAREESE 5
Географические названия

Примерно в 2000 году Рекс Гуч из Лечворта, Англия , проанализировал доступные списки слов и компьютерные требования и составил одну или две сотни специализированных словарей и указателей, чтобы обеспечить достаточно сильный словарный запас. Самым крупным источником было Национальное агентство изображений и картографии Совета США по географическим названиям . В журнале Word Ways в августе и ноябре 2002 года он опубликовал несколько квадратов, найденных в этом словарном списке. Квадрат, представленный ниже, был признан некоторыми экспертами по квадратам слов как по существу решающий проблему 10 квадратов ( Daily Mail , The Times ), в то время как другие ожидают более качественных 10 квадратов в будущем.

ПОТОК
ECHENEIDAE
КОРОТКИ
ЦЕРБЕРУЛ
ENTEROMERE
НЕКРОЛЯТОР
ДИУМАБАНА
АДАЛЕТАБАТ
NATURENAME
ТЕСЕРИРОВАННЫЙ

Есть несколько «несовершенств»: « Echeneidae » капитализируются «Dioumabana» и «Adaletabat» место (в Гвинее и Турции соответственно), а «имя-природе» является перенесенным на новом .

В последнее время появилось много новых больших квадратов слов и новых видов. Однако современная комбинаторика продемонстрировала, почему на поиск 10-квадрата потребовалось так много времени и почему крайне маловероятно, что 11-квадрат можно построить с использованием английских слов (даже включая транслитерированные названия мест). Однако 11 квадратов возможны, если разрешены слова из нескольких языков ( Word Ways , август 2004 г. и май 2005 г.).

Другие языки

Квадраты слов различного размера были построены на многих языках, кроме английского, включая правильные квадраты, образованные исключительно из словарных слов без заглавной буквы. Единственные идеальные 10-квадраты, опубликованные на любом языке на сегодняшний день, были построены на латыни, и идеальные 11-квадраты были созданы также на латыни. Совершенные 9-квадраты были построены на французском языке, а совершенные квадраты не менее 8-го порядка были построены на итальянском и испанском языках. Также были построены полиглоты из 10 квадратов, каждый из которых использует слова из нескольких европейских языков.

Словарь

Можно оценить размер словаря, необходимого для построения квадратов слов. Например, 5-квадрат обычно может быть построен всего из 250 слов словаря. На каждый шаг вверх нужно примерно в четыре раза больше слов. Для 9-квадрата нужно более 60 000 9-буквенных слов, практически все, что есть в отдельных очень больших словарях.

Для больших квадратов необходимость в большом пуле слов не позволяет ограничить этот набор «желательными» словами (т. Е. Словами без дефисов, широко используемых, без надуманных перегибов и заглавных букв), поэтому ожидается, что любые результирующие квадраты слов будут включить несколько экзотических слов. Противоположная проблема возникает с маленькими квадратами: компьютерный поиск дает миллионы примеров, в большинстве из которых используется хотя бы одно непонятное слово. В таких случаях поиск квадрата слова с «желательными» (как описано выше) словами выполняется путем исключения более экзотических слов или использования меньшего словаря, содержащего только общие слова. Предполагается, что меньшие квадраты слов, используемые для развлечения, будут иметь простые решения, особенно если они заданы как задание для детей; но словарный запас в большинстве восьми квадратов проверяет знания образованного взрослого человека.

Варианты форм

Квадраты двойных слов

Квадраты слов, которые образуют разные слова поперек и вниз, известны как «квадраты двойных слов». Примеры:

TOO
URN
BEE
ОТСУТСТВИЕ
IRON
MERE
BAKE
ЗАПАХ
CANOE
ARSON
ROUSE
ФЛОТ
ПРИЗНАЕТ
Deaden
SERENE
опиатных
АРЕНДАТОР
ПОРОДЫ

Строки и столбцы любого квадрата с двойным словом можно переставить, чтобы сформировать другой действительный квадрат. Например, квадрат порядка 4 выше также может быть записан как:

КОНЕЧНОСТИ
AREA
ПРОБКА
КОЛЕНО

Квадраты двойных слов несколько труднее найти, чем квадраты обычных слов, при этом самые крупные известные полностью легитимные примеры английского языка (только словарные слова) имеют порядок 8. Puzzlers.org приводит пример порядка 8, датируемый 1953 годом, но он содержит шесть географических названий. . Пример Джеффа Гранта в « Word Ways» за февраль 1992 г. является улучшением, поскольку в нем всего два имени собственных («Алоизиас», множественное число от личного имени Алоизия, женская форма от Алоизия, и «Тхамната», библейское географическое название):

TRATTLED
НЕМЕРИНА
АПОТОМЫ
МЕТАПОРА
ГВОЗДИ
АЛОИСИАС
ТЕНТМАТ
ОЦЕНКА

Диагональные квадраты слов

Диагональные квадраты слов — это квадраты слов, в которых главные диагонали также являются словами. Есть четыре диагонали: верхний левый — нижний правый, нижний правый — верхний левый, верхний правый — нижний левый и нижний левый — верхний правый. В одном диагональном квадрате (одни и те же слова читаются поперек и вниз) последние два должны быть идентичными и палиндромными из-за симметрии. Восьмерка — самая большая из найденных со всеми диагоналями: есть 9 квадратов с некоторыми диагоналями.

Это пример двойного диагонального квадрата четвертого порядка:

Прямоугольники Word

Прямоугольники слов основаны на той же идее, что и квадраты двойных слов, но горизонтальные и вертикальные слова имеют разную длину. Вот примеры 4 × 8 и 5 × 7:

ПЕРЕЛОМ
Контурные
Цветущий
септет
ОЧКИ
РЕЦИДИВ
подражают
размазывается
TANNERY

Опять же, строки и столбцы можно транспонировать, чтобы сформировать другой допустимый прямоугольник. Например, прямоугольник 4 × 8 можно также записать как прямоугольник 8 × 4.

Другие формы

Многие другие формы использовались для упаковки слов по схожим правилам. Национальный Puzzlers’ Лига поддерживает полный список форм , которые были испробованы.

Смотрите также

  • Национальная лига головоломок
  • Площадь Сатор

Рекомендации

Внешние ссылки

  • Word Square — бесплатная игра в квадраты с двойными словами

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