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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:
Over a ternary alphabet, a square-free word of length more than 13 contains all the square-free two-letter combinations. [12] This can be proved by constructing a square-free word without the two-letter combination ab. As a result, bcba cbca cbaca is the longest square-free word without the combination ab and its length is equal to 13.
The Sator Square (or Rotas-Sator Square or Templar Magic Square) is a two-dimensional acrostic class of word square containing a five-word Latin palindrome. [1] The earliest squares were found at Roman-era sites, all in ROTAS-form (where the top line is "ROTAS", not "SATOR"), with the earliest discovery at Pompeii (and also likely pre-AD 62).
Square-free words do not have adjacent repeated factors. [1] To clarify, "dining" is not square-free since "in" is repeated consecutively, while "servers" is square-free, its two "er" factors not being adjacent. Thue proves his conjecture on the existence of infinite square-free words by using substitutions. A substitution is a way to take a ...
What3words divides the world into a grid of 57 trillion 3-by-3-metre (10 ft × 10 ft) squares, each of which has a three-word address. The company says they do their best to remove homophones and spelling variations; [25] however, at least 32 pairs of English near-homophones still remain.
The English word square dates to the 13th century and derives from the Old French esquarre.By the 1570s, it was in use in reference to someone or something honest or fair. [3] [4] This positive sense is preserved in phrases such as "fair and square", meaning something done in an honest and straightforward manner, [5] and "square deal", meaning an outcome equitable to all sides. [6]
The square has Dih 4 symmetry, order 8. There are 2 dihedral subgroups: Dih 2, Dih 1, and 3 cyclic subgroups: Z 4, Z 2, and Z 1. A square is a special case of many lower symmetry quadrilaterals: A rectangle with two adjacent equal sides; A quadrilateral with four equal sides and four right angles; A parallelogram with one right angle and two ...
Sator square (word square and palindrome) with the letters S and N reversed. Rotational ambigram Puzzle / The end by Peter Newell designed in 1893. Mirror ambigram ΝΙΨΟΝ ΑΝΟΜΗΜΑΤΑ ΜΗ ΜΟΝΑΝ ΟΨΙΝ (Wash your sins, not only your face, in Ancient Greek) in the monastery Panagia Malevi . [25]