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

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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.

Roughly, for each step upwards, one needs four times the number of words.

For a 9-square, one needs over 60,000 9-letter words, which is practically all of those in single very large dictionaries.

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. Each such square contains five words appearing twice, which in effect constitutes four identical 5-squares.

Since 1921, 10-squares have been constructed from reduplicated words and phrases like "Alala! 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: In 1976, Frank Rubin produced an incomplete ten-square containing two nonsense phrases at the top and eight dictionary words.

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.

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

Many new large word squares and new species have arisen recently.

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