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Palindrome
A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the words ''madam'' or ''racecar'', the date and time ''11/11/11 11:11,'' and the sentence: "A man, a plan, a canal – Panama". The 19-letter Finnish word ''saippuakivikauppias'' (a soapstone vendor), is the longest single-word palindrome in everyday use, while the 12-letter term ''tattarrattat'' (from James Joyce in '' Ulysses'') is the longest in English. The word ''palindrome'' was introduced by English poet and writer Henry Peacham in 1638.Henry Peacham, ''The Truth of our Times Revealed out of One Mans Experience'', 1638p. 123/ref> The concept of a palindrome can be dated to the 3rd-century BCE, although no examples survive; the first physical examples can be dated to the 1st-century CE with the Latin acrostic word square, the Sator Square (contains both word and sentence palindromes), and the 4th-century Greek Byzantine sentence palindrome '' ni ...
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Ambigram Palindrome ΝΙΨΟΝΑΝΟΜΗΜΑΤΑΜΗΜΟΝΑΝΟΨΙΝ (Wash Your Sins, Not Only Your Face, In Greek)
An ambigram is a calligraphic design that has several interpretations as written. The term was coined by Douglas Hofstadter in 1983. Most often, ambigrams appear as visually symmetrical words. When flipped, they remain unchanged, or they mutate to reveal another Semantics, meaning. "Half-turn" ambigrams undergo a point reflection (180° rotational symmetry) and can be reading, read upside down, mirror ambigrams have an axial symmetry and can be read through a Reflection (physics), reflective surface (like a mirror or a Reflection (physics), mirroring lake), and many other types of ambigrams exist. Ambigrams are found in different Written language, languages, various alphabets and the notion often extends to numbers and other symbols. It is a recent Interdisciplinarity, interdisciplinary concept, combining Visual arts, art, literature, mathematics, cognition, and optical illusions. Drawing symmetrical words constitutes also a Recreation, recreational activity for amateurs. Numerou ...
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Sator Square
The Sator Square (or the Rotas-Sator Square, or the Templar Magic Square) is a two-dimensional acrostic class of word square containing a five-word Latin palindrome. The earliest Sator squares were found at several Roman-era sites, all in ROTAS-form, with the earliest discovery at Pompeii (and also likely pre-A.D. 62). The earliest square that included explicit additional Christian-associated imagery dates from the sixth century, and by medieval times Sator squares had been found across Europe, Asia Minor, and North Africa. ''Encyclopedia Britannica'' called it "the most familiar lettered square in the Western world". A significant volume of academic research has been published on the square, but after more than a century, there is no consensus on its origin and meaning. The discovery of the "Paternoster theory" in 1926 led to a brief consensus amongst academics that the square was created by early Christians, but the subsequent discoveries at Pompeii led many academics to ...
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Palindromic Number
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis. The term ''palindromic'' is derived from palindrome, which refers to a word (such as ''rotor'' or ''racecar'') whose spelling is unchanged when its letters are reversed. The first 30 palindromic numbers (in decimal) are: : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, … . Palindromic numbers receive most attention in the realm of recreational mathematics. A typical problem asks for numbers that possess a certain property ''and'' are palindromic. For instance: * The palindromic primes are 2, 3, 5, 7, 11, 101, 131, 151, ... . * The palindromic square numbers are 0, 1, 4, 9, 121, 484, 676, 10201, 12321, ... . It is obvious that in any base there are infinitely many palindr ...
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Nipson Anomemata Me Monan Opsin
''Nipson anomēmata mē monan opsin'' ( grc, Νίψον ἀνομήματα, μὴ μόναν ὄψιν), meaning "Wash the sins, not only the face", or "Wash my transgressions, not only my face", is a Greek palindromeThe romanization is not a palindrome because the Greek letter ''ψ'' ( psi) is transcribed by the digraph ''ps''. The modern diacritics, which are not symmetrical, are usually omitted from inscriptions of the sentence. that was inscribed upon a holy water font outside the Hagia Sophia in Constantinople: Origin The phrase is attributed to the fourth-century Saint Gregory of Nazianzus. When the sentence is rendered in capital letters, as would be usual for an inscription (ΝΙΨΟΝΑΝΟΜΗΜΑΤΑΜΗΜΟΝΑΝΟΨΙΝ), all the letters are vertically symmetrical except for the Ν. As a result, if the N is stylized Ͷ in the right half, the sentence is not only a palindrome but also a mirror ambigram. Examples The inscription can also be found in the followi ...
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Nipson Anomemata Me Monan Opsin
''Nipson anomēmata mē monan opsin'' ( grc, Νίψον ἀνομήματα, μὴ μόναν ὄψιν), meaning "Wash the sins, not only the face", or "Wash my transgressions, not only my face", is a Greek palindromeThe romanization is not a palindrome because the Greek letter ''ψ'' ( psi) is transcribed by the digraph ''ps''. The modern diacritics, which are not symmetrical, are usually omitted from inscriptions of the sentence. that was inscribed upon a holy water font outside the Hagia Sophia in Constantinople: Origin The phrase is attributed to the fourth-century Saint Gregory of Nazianzus. When the sentence is rendered in capital letters, as would be usual for an inscription (ΝΙΨΟΝΑΝΟΜΗΜΑΤΑΜΗΜΟΝΑΝΟΨΙΝ), all the letters are vertically symmetrical except for the Ν. As a result, if the N is stylized Ͷ in the right half, the sentence is not only a palindrome but also a mirror ambigram. Examples The inscription can also be found in the followi ...
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Crab Canon
A crab canon (also known by the Latin form of the name, ''canon cancrizans''; as well as ''retrograde canon'', ''canon per recte et retro'' or ''canon per rectus et inversus'')Kennedy, Michael (ed.). 1994. "Canon". The Oxford Dictionary of Music, associate editor, Joyce Bourne. Oxford and New York: Oxford University Press. . is an arrangement of two musical lines that are complementary and backward. If the two lines were placed next to each other (as opposed to stacked), the lines would form something conceptually similar to a palindrome. The name 'crab' refers to the fact that crabs are known to walk backward (although they can also walk forward and sideways). It originally referred to a kind of canon in which one line is played backward (e.g. FABACEAE played simultaneously with EAECABAF). An example is found in J. S. Bach's ''The Musical Offering'', which also contains a table canon ("Quaerendo invenietis"), which combines retrogression with inversion by having one player tu ...
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Acrostic
An acrostic is a poem or other word composition in which the ''first'' letter (or syllable, or word) of each new line (or paragraph, or other recurring feature in the text) spells out a word, message or the alphabet. The term comes from the French from post-classical Latin , from Koine Greek , from Ancient Greek "highest, topmost" and "verse". As a form of constrained writing, an acrostic can be used as a mnemonic device to aid memory retrieval. When the ''last'' letter of each new line (or other recurring feature) forms a word it is called a telestich; the combination of an acrostic and a telestich in the same composition is called a double acrostic (e.g. the first-century Latin Sator Square). Acrostics are common in medieval literature, where they usually serve to highlight the name of the poet or his patron, or to make a prayer to a saint. They are most frequent in verse works but can also appear in prose. The Middle High German poet Rudolf von Ems for example opens ...
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Word Square
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: 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 Sator Square The first-century Sator Square is a Latin word square, which the ''Encyclopedia Britannica'' called "the most familiar lettered square in the Western world". Its canonical form reads as follows: 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 wo ...
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Sotades
Sotades ( el, Σωτάδης; 3rd century BC) was an Ancient Greek poet. Biography Sotades was born in Maroneia, either the one in Thrace, or in Crete. He lived in Alexandria during the reign of Ptolemy II Philadelphus (285–246 BC). The city was at that time a remarkable center of learning, with a great deal of artistic and literary activity, including epic poetry and the Great Library. Only a few genuine fragments of his work have been preserved; those in Stobaeus are generally considered spurious. Ennius translated some poems of this kind, included in his book of satires under the name of Sola. He had a son named Apollonius. He has been credited with the invention of the palindrome. Sotades was the chief representative of the writers of obscene and even pederastic satirical poems, called "kinaidoi" ( grc, Κίναιδοι), composed in the Ionic dialect and in the metre named after him. One of his poems attacked Ptolemy II Philadelphus's marriage to his own sister A ...
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Regular Language
In theoretical computer science and formal language theory, a regular language (also called a rational language) is a formal language that can be defined by a regular expression, in the strict sense in theoretical computer science (as opposed to many modern regular expressions engines, which are augmented with features that allow recognition of non-regular languages). Alternatively, a regular language can be defined as a language recognized by a finite automaton. The equivalence of regular expressions and finite automata is known as Kleene's theorem (after American mathematician Stephen Cole Kleene). In the Chomsky hierarchy, regular languages are the languages generated by Type-3 grammars. Formal definition The collection of regular languages over an alphabet Σ is defined recursively as follows: * The empty language Ø is a regular language. * For each ''a'' ∈ Σ (''a'' belongs to Σ), the singleton language is a regular language. * If ''A'' is a regular language, ''A'' ...
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Sator Square At Oppède
Sator may refer to: * ''Sator'' (lizard), a genus of lizard * Sator Square (or Rotas Square), a first-century word square containing a five-word Latin palindrome * Šator, a mountain in Bosnia and Herzegovina * Sator (the "Sower"), a minor Roman agricultural deity or cult title People with the surname * Klaus Sator (born 1956), German historian * László Sátor (born 1953), Hungarian racewalker * Ted Sator (born 1949), American ice hockey coach Entertainment * ''Sator'' (film), a 2020 American supernatural horror film * Sator (band), a Swedish band * Andrei Sator, a character from the film ''Tenet A tenet is a synonym for axiom, one of the principles on which a belief or theory is based. Tenet may also refer to: Media * Tenet (band), a heavy metal band * TENET (ensemble), an American early music vocal and instrumental group * ''Tenet'' ( ...
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Byzantine Empire
The Byzantine Empire, also referred to as the Eastern Roman Empire or Byzantium, was the continuation of the Roman Empire primarily in its eastern provinces during Late Antiquity and the Middle Ages, when its capital city was Constantinople. It survived the fragmentation and fall of the Western Roman Empire in the 5th century AD and continued to exist for an additional thousand years until the fall of Constantinople to the Ottoman Empire in 1453. During most of its existence, the empire remained the most powerful economic, cultural, and military force in Europe. The terms "Byzantine Empire" and "Eastern Roman Empire" were coined after the end of the realm; its citizens continued to refer to their empire as the Roman Empire, and to themselves as Romans—a term which Greeks continued to use for themselves into Ottoman times. Although the Roman state continued and its traditions were maintained, modern historians prefer to differentiate the Byzantine Empire from Ancient Rome a ...
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