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Palindrome

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451 = 605; 605 + 506 = 1111, so 59 is not a Lychrel number either. Numbers such as 196 are thought to never become palindromes when this reversal process is carried out and are therefore suspected of being Lychrel numbers. If a number is not a Lychrel number, it is called a "delayed palindrome" (56 has a delay of 1 and 59 has a delay of 3). In January 2017 the number 1,999,291,987,030,606,810 was published in OEIS as
461: 1136:("There and Back": 1927) is an operatic 'sketch' (Op. 45a) in one scene by Paul Hindemith, with a German libretto by Marcellus Schiffer. It is essentially a dramatic palindrome. Through the first half, a tragedy unfolds between two lovers, involving jealousy, murder and suicide. Then, in the reversing second half, this is replayed with the lines sung in reverse order to produce a happy ending. 274:
that reads in four different ways: horizontally or vertically from either top left to bottom right or bottom right to top left. Other palindromes found at Pompeii include "Roma-Olina-Milo-Amor", which is also written as an acrostic square. Indeed, composing palindromes was "a pastime of Roman landed
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columnist O.V. Michaelsen (Ove Ofteness) include "crew work"/"work crew", "dry yard", "easy", "Funny enough", "Let Bob tell", "new moon", "selfless", "Sorry, Ross", "Talk, Scott", "to boot", "top spot" (also an orthographic palindrome), "Y'all lie", "You're caught. Talk, Roy", and "You're damn mad,
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Palindromes often consist of a sentence or phrase, e.g., "A man, a plan, a canal, Panama", "Mr. Owl ate my metal worm", "Do geese see God?", or "Was it a car or a cat I saw?". Punctuation, capitalization, and spaces are usually ignored. Some, such as "Rats live on no evil star", "Live on time, emit
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in several different ways, including retrograde presentation, and two versions may be made in a single program. When the composer revised the work in 2003, he prescribed such a palindromic performance, with the twenty moments first played in a "forwards" version, and then "backwards". Each moment,
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exist is an unsolved problem in mathematics about whether all numbers become palindromes when they are continuously reversed and added. For example, 56 is not a Lychrel number as 56 + 65 = 121, and 121 is a palindrome. The number 59 becomes a palindrome after three iterations: 59 + 95 = 154; 154 +
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one, despite many efforts to find others. (Taylor had also composed two other, "rather indifferent", palindromic lines of poetry: "Deer Madam, Reed", "Deem if I meed".) Then in 1848, a certain "J.T.R." coined "Able was I ere I saw Elba", which became famous after it was (implausibly) attributed to
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It is believed that palindromes are also found in proteins, but their role in the protein function is not clearly known. It has been suggested in 2008 that the prevalent existence of palindromes in peptides might be related to the prevalence of low-complexity regions in proteins, as palindromes
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palindrome: not only does each event in the second half of the piece occur according to an axis of symmetry at the centre of the work, but each event itself is reversed, so that the note attacks in the first half become note decays in the second, and vice versa. It is a perfect example of
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is a rectangular piece of sheet music intended to be played by two musicians facing each other across a table with the music between them, with one musician viewing the music upside down compared to the other. The result is somewhat like two speakers simultaneously reading the
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Just as the letters of a verbal palindrome are not reversed, so are the elements of a musical palindrome usually presented in the same form in both halves. Although these elements are usually single notes, palindromes may be made using more complex elements. For example,
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The longest palindromic word in English has 12 letters: tattarrattat. This word, appearing in the Oxford English Dictionary, was invented by James Joyce and used in his book Ulysses (1922), and is an imitation of the sound of someone
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A day or timestamp is a palindrome when its digits are the same when reversed. Only the digits are considered in this determination and the component separators (hyphens, slashes, and dots) are ignored. Short digits may be used as in
44: 409:" 'we go in a circle at night and are consumed by fire' describes the behavior of moths. It is likely that this palindrome is from medieval rather than ancient times. The second word, borrowed from Greek, should properly be spelled 2448: 1877: 535:
There are also word-unit palindromes in which the unit of reversal is the word ("Is it crazy how saying sentences backwards creates backwards sentences saying how crazy it is?"). Word-unit palindromes were made popular in the
769:(yyyy-mm-dd, dd-mm-yyyy, or mm-dd-yyyy) used in various countries. For this reason, this date has also been termed as a "Universal Palindrome Day". Other universal palindrome days include, almost a millennium previously, 1846: 1240:. The purpose of such palindromic balancing is to focus the listener on the central movement, much as one would focus on the centre of the cross in the crucifixion. Other examples are found in Bach's cantata BWV 4, 1221:
in which one line of the melody is reversed in time and pitch from the other. A large-scale musical palindrome covering more than one movement is called "chiastic", referring to the cross-shaped Greek letter
811: 1147:, was extremely interested in symmetries in music, be they horizontal or vertical. An example of horizontal or linear symmetry in Webern's music is the first phrase in the second movement of the 57: 1366:
chromosomes and in the so-called Bacterial Interspersed Mosaic Elements (BIMEs) scattered over them. In 2003, a research genome sequencing project discovered that many of the bases on the
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consists of thirty-two variations and a fugue on a palindromic theme of Haydn (from the minuet of his Symphony No. 47). All of Simpson's thirty-two variations are themselves palindromic.
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in 1638. The concept of a palindrome can be dated to the 3rd-century BCE, although no examples survive. The earliest known examples are the 1st-century CE Latin
3124: 2415: 2906: 52: 1327:(G)), a (single-stranded) sequence of DNA is said to be a palindrome if it is equal to its complementary sequence read backward. For example, the sequence 440:
being something of a "fudge"). This is generally considered the first English-language palindrome sentence and was long reputed, notably by the grammarian
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systems, and is often written as NisiOisiN to emphasize this. Some people have changed their name in order to make it palindromic (including as the actor
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instructions. The meaning of palindrome in the context of genetics is slightly different, from the definition used for words and sentences. Since the
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work around the central pitch axis of A4. From this, each downward reaching interval is replicated exactly in the opposite direction. For example, a G
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are arranged as palindromes. A palindrome structure allows the Y-chromosome to repair itself by bending over at the middle if one side is damaged.
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verse, which is sometimes said to have been palindromic, since it is sometimes possible to make a sotadean line by reversing a dactylic hexameter.
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where the first letters of each word form the first word, the second letters form the second word, and so forth. Hence, it can be arranged into a
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that is identical or roughly identical when reversed. It can arise in context where language is played with, for example in slang dialects like
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The most familiar palindromes in English are character-unit palindromes, where the characters read the same backward as forward. Examples are
2785:...I was just beginning to yawn with nerves thinking he was trying to make a fool of me when I knew his tattarrattat at the door he must ... 2746:"The longest palindrome defined in the OED is 'tattarrattat', meaning 'a knock at the door'. It was used by James Joyce in 'Ulysses'. (2/2)" 2217: 2010: 3148: 936:, a trademarked name for an agricultural machine, is listed in dictionaries as being the longest single-word palindrome. The 9-letter term 2305: 3583: 2937: 2334: 2256: 1928: 3632: 2828: 2125: 3688: 2479: 1994::5780. "Sotadic verse... A palindromic verse; so named apparently from some ancient examples of Sotadean verse being palindromic." 1455:
is defined to be zero if only finitely many prefixes are palindromes; otherwise, letting the palindromic prefixes be of lengths
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by Lawrence Levine (1986, 31,954 words). Another palindromic English work is a 224-word long poem, "Dammit I'm Mad", written by
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Cilleruelo, Javier; Luca, Florian; Baxter, Lewis (19 February 2016). "Every positive integer is a sum of three palindromes".
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Every positive integer can be written as the sum of three palindromic numbers in every number system with base 5 or greater.
2500:"Never Odd Or Even, and Other Tricks Words Can Do" by O.V. Michaelsen (Sterling Publishing Company: New York), 2005 p124-7 2053: 1788: 576: 454: 984:'s "T. Eliot, top bard, notes putrid tang emanating, is sad; I'd assign it a name: gnat dirt upset on drab pot toilet." 3558: 3543: 3529: 3509: 2664: 544:
in the 1960s. Occasional examples in English were created in the 19th century. Several in French and Latin date to the
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however, is a complex musical unit, and is played in the same direction in each half of the program. By contrast,
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of palindromic strings, excluding the trivial one-letter palindromes – otherwise all strings would be palstars.
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A notable palindrome day is this century's 2 February 2020 because this date is a palindrome regardless of the
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There are also palindromic names in fictional media. "Stanley Yelnats" is the name of the main character in
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are: "A man, a plan, a canal – Panama" (1948), "Madam, I'm Adam" (1861), and "Never odd or even" (1930).
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frequently are associated with low-complexity sequences. Their prevalence might also be related to an
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Karlheinz Stockhausen II: Die Werke 1950–1977; Gespräch mit Karlheinz Stockhausen, "Es geht aufwärts"
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Goertz, Karein K. (2003). "Showing Her Colors: An Afro-German Writes the Blues in Black and White".
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The digits of a palindromic number are the same read backwards as forwards, for example, 91019;
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Adamczewski, Boris; Bugeaud, Yann (2010), "8. Transcendence and diophantine approximation", in
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also composed music in the palindrome or based on palindromic themes; the slow movement of his
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from opposite sides, except that it is typically in two-part polyphony rather than in unison.
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is a palindrome using the starting letter of the first name of each of the four band members.
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discussed his experience of phonetic palindromes while working on audio tape versions of the
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Do you give it up?: A collection of the most amusing conundrums, riddles, etc. of the day
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vendor), is the longest single-word palindrome in everyday use, while the 12-letter term
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Giel-Pietraszuk M, Hoffmann M, Dolecka S, Rychlewski J, Barciszewski J (February 2003).
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formation propensity of these sequences, or in formation of protein/protein complexes.
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Ohno S (1990). "Intrinsic evolution of proteins. The role of peptidic palindromes".
1694:(1893–1977) best known for devising the palindrome "A man, a plan, a canal: Panama!" 1143:
is often palindromic. Webern, who had studied the music of the Renaissance composer
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Among aperiodic words, the largest possible palindromic density is achieved by the
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Goeyvaerts's aesthetics, the perfect example of the imperfection of perfection.
1151:, Op. 21. A striking example of vertical symmetry is the second movement of the 703: 627:), while others were given a palindromic name at birth (such as the philologist 3813: 3705: 3641: 1771: 1685: 1586: 1359: 1144: 996: 727: 331: 295: 278: 248: 3436:, Encyclopedia of Mathematics and its Applications, vol. 135, Cambridge: 3307: 3191: 2745: 2071: 223: 3880: 3860: 3787: 3572: 3389: 1703: 1697: 1667: 1601: 1375: 1287: 1218: 940:
is used by some writers, but appears to be an invented or derived term; only
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Gusfield, Dan (1997), "9.2 Finding all maximal palindromes in linear time",
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Of Anagrams: A Monograph Treating of Their History from the Earliest Ages...
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no evil", and "Step on no pets", include the spaces. For more examples, see
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had coined one in 1614: "Lewd did I live, & evil I did dwel" (with the
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poem "¿Por qué nací?", the first movement of three in his fourth book of
903: 876: 676:, Girafarig, Farigiraf, Ho-Oh, and Alomomola), as does the region Alola. 616: 545: 334:. The inscription is found on fonts in many churches in Western Europe: 271: 244: 152: 135: 111: 3587:. Vol. 20 (11th ed.). Cambridge University Press. p. 633. 3173: 3055:
Serial Music, Serial Aesthetics: Compositional Theory in Post-war Europe
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The Gazette of the Union, Golden Rule, and Odd Fellows' Family Companion
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http://deconstructing-jim.blogspot.com/2010/03/musical-palindromes.html
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English palindrome sentences of notable length include mathematician
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In addition, the set of palindromes may not be reliably tested by a
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Gazette of the Union, Golden Rule and Odd-fellows' Family Companion
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appear in the Shorter Oxford English Dictionary; the 9-letter word
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vendor), is the world's longest palindromic word in everyday use.
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S(ilvanus) Urban, "Classical Literature: On Macaronic Poetry",
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A 12th-century palindrome with the same square property is the
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question as to whether a fly landing in honey makes the honey
266:'The sower Arepo holds with effort the wheels'. It is also an 3757: 2558:"#PalindromeDay: Geeks around the world celebrate 02/02/2020" 1038:
in G is nicknamed "the Palindrome". In the third movement, a
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Pryor, G.H. (September 1930). "In the Realm of the Riddle".
2006:"The ROTAS "Wheel": Form and Content in a Pompeian Graffito" 1863: 1861: 298:
were often inscribed with the 4th-century Greek palindrome,
231:(in SATOR-form), on a wall in the medieval fortress town of 3384:, Cambridge: Cambridge University Press, pp. 197–199, 1868:
Triantaphylides Dictionary, Portal for the Greek Language.
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The Truth of our Times Revealed out of One Mans Experience
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A 1st-century Latin palindrome was found as a graffito at
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Sheari A, Kargar M, Katanforoush A, et al. (2008).
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In English, two palindromic novels have been published:
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I Love Me, Vol. I: S. Wordrow's Palindrome Encyclopedia
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Reversible audio cut-ups of William S. Burroughs' voice
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is to produce. They have been specially researched in
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Jennens vs. Handel: Decoding the Mysteries of Messiah
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The Paradigm of Simias: Essays on Poetic Eccentricity
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Hannah, Ava, Aviva, Anna, Eve, Bob, and Otto, or the
2509: 1897: 1895: 1803:, a genus of spiders with palindromic species names 1311:, and the nucleotides always pair in the same way ( 215:) to refer to letter-by-letter reversible writing. 3473:Word Ways: The Journal of Recreational Linguistics 3427: 1574: 1346:. Palindromic motifs are made by the order of the 3536:From A to Zotamorf: The Dictionary of Palindromes 1892: 1165:3—13 half-steps down from A4 is replicated as a B 803:"Une Slave valse nue" played forward and backward 551:There are also line-unit palindromes, most often 383:פרשנו רעבתן שבדבש נתבער ונשרף 322:") 'Wash sin(s), not only face', attributed to 27:Phrases that read the same forwards and backwards 3878: 3349: 3289: 3121:National Human Genome Research Institute (NHGRI) 1507: 1122:is a palindrome, as is the slow movement of his 1059:is a palindrome, as are sections and pieces, in 1024:Centre part of palindrome in Alban Berg's opera 386:perashnu: ra`avtan shebad'vash nitba`er venisraf 30:"Palindromes" redirects here. For the film, see 2681:"Section titled "On Burroughs and Burrows ..."" 1075:also used musical palindrome to text paint the 875:. A list of phonetic palindromes discussed by 853:("a Slavic woman waltzes naked"), phonemically 2473: 991:by David Stephens (1980, 58,795 letters), and 473: 464:cartoon using the palindrome "Madam, I'm Adam" 90:" and the sentence: "A man, a plan, a canal – 3626: 3354:(2003), "8.1 Searching for symmetric words", 3066: 2773:. Editions Artisan Devereaux. pp. 434–. 2880: 2377: 2151:Princeton Encyclopedia of Poetry and Poetics 2003: 1958:Princeton Encyclopedia of Poetry and Poetics 599:(1913–1985) was Prime Minister of Cambodia. 199:in 1638. It is derived from the Greek roots 43:The 4th-century Greek Byzantine palindrome: 3382:Algorithms on Strings, Trees, and Sequences 2938:"Celebrate Bob Dylan's Nobel with Weird Al" 2766: 2659:. Les Dossiers de l'Aquitaine. p. 32. 2173: 2171: 1228: 611:) is a palindrome when romanized using the 262:, consists of a sentence written in Latin: 3633: 3619: 3434:Combinatorics, automata, and number theory 2796: 2728: 2437:. Baltimore and Ohio Railroad. p. 60. 2054:"The Sator Rebus: An unsolved cryptogram?" 2011:Zeitschrift für Papyrologie und Epigraphik 888:The longest single-word palindrome in the 195:was introduced by English poet and writer 127:was introduced by English poet and writer 3345: 3343: 3315: 3266: 3256: 2853: 2790: 2760: 2731:Words at play: quips, quirks and oddities 2515: 2320: 2318: 1410:. This means that it is impossible for a 1331:is palindromic because its complement is 218: 151:Palindromes are also found in music (the 3571: 3476:. Greenwood Periodicals et al., 1968–. 3379: 3081: 2935: 2913:. Mathematics Department. Archived from 2168: 2143: 2104: 1837: 1835: 1607: 1589:, which has density 1/φ, where φ is the 1281: 1271: 1019: 702: 587:Some names are palindromes, such as the 562: 558: 459: 277: 222: 38: 3290:Pinotsis N, Wilmanns M (October 2008). 3020:Constant Lambert: Beyond the Rio Grande 2929: 2048: 1007:" is composed entirely of palindromes. 453:(alluding to his exile on Elba). Other 14: 3879: 3360:, World Scientific, pp. 111–114, 3357:Jewels of Stringology: Text Algorithms 3340: 3145: 2980:from the original on 25 September 2021 2652: 2609: 2315: 2274:The Word Circus: A Letter-perfect Book 2207: 2086:from the original on 11 September 2022 2030:from the original on 11 September 2022 883: 831:A phonetic palindrome is a portion of 715:representation is usually assumed. In 416:In English, there are many palindrome 407:In girum imus nocte et consumimur igni 3614: 3421: 3234: 3232: 2482:from the original on 12 February 2013 2455:from the original on 29 December 2022 2430: 2220:from the original on 21 November 2016 2189:from the original on 11 December 2016 1916: 1914: 1870:"Combined word search for καρκινικός" 1832: 1468:=1,2,... we define the density to be 1381: 1295:Palindromic motifs are found in most 1063:, by many other composers, including 171:, the set of all palindromes over an 3127:from the original on 1 December 2017 3088:. New York: Routledge. p. 120. 2960: 2687:from the original on 5 February 2012 2591:from the original on 3 February 2020 2582: 2564:from the original on 2 February 2020 2434:Baltimore and Ohio Employes Magazine 1350:that specify the complex chemicals ( 1010: 928:, a chemical term meaning to remove 912:(1922) for a knock on the door. The 595:Harrah, Renner, Salas, and Nenonen. 243:(3rd-century BC) invented a form of 3640: 3139: 2743: 2530: 2287: 1789:List of English palindromic phrases 1421:which also means that they are not 1307:is formed by two paired strands of 672:have palindromic names in English ( 577:List of English palindromic phrases 24: 3465: 3229: 3167: 2841:from the original on 10 March 2011 2474:Mark J. Nelson (7 February 2012). 2324:"Ingenious Arrangement of Words", 2042: 1911: 1517: 1414:to reliably test for palindromes. 1015: 791: 570:of the palindrome "Dogma I am God" 326:; most notably in the basilica of 159:) and biological structures (most 49:Wash Your Sins, Not Only Your Face 25: 3898: 3565: 3524:. Charles Scribner's Sons, 1965. 3283: 2936:Twardzik, Tom (25 October 2016). 2534:. 2 February 2020. Archived from 2208:Soclof, Adam (28 December 2011). 1715: 916:gives the title to the 11-letter 2885:. NY: St. Martin's. p. 36. 2131:from the original on 24 May 2022 2107:"An Early Christian Cryptogram?" 1782: 1419:deterministic pushdown automaton 1194:'s 1953 electronic composition, 822:Problems playing this file? See 807: 707:Palindromic license plate number 646:, and the Mexican racing driver 607:writer, whose pseudonym (西尾 維新, 258:. This palindrome, known as the 3373: 3109: 3085:The Craft of Tonal Counterpoint 3075: 3060: 3047: 3026: 3011: 2992: 2899: 2874: 2821: 2803:. Pustak Mahal. pp. 203–. 2737: 2722: 2699: 2673: 2646: 2603: 2576: 2550: 2524: 2503: 2494: 2467: 2441: 2424: 2402: 2387:13 November 1948, according to 2358: 2343: 2266: 2232: 2201: 2098: 1880:from the original on 6 May 2019 1291:A: Palindrome, B: Loop, C: Stem 532:are orders of magnitude rarer. 319:Nipson anomēmata mē monan opsin 283:Nipson anomēmata mē monan opsin 145:nipson anomemata me monan opsin 2859:By Brendan Gill, published in 2383:By Leigh Mercer, published in 1997: 1975: 1950: 1937: 1514: 1494: 1488: 1394:of all palindromes in a given 993:Dr Awkward & Olson in Oslo 512:. The longest common ones are 455:well-known English palindromes 405:The palindromic Latin riddle " 392:in 1924, and referring to the 13: 1: 3504:. Dover Publications, 1973. 3492:. Palindromist Press, 1996–. 2907:"Demetri Martin's Palindrome" 2797:O.A. Booty (1 January 2002). 2583:Held, Amy (2 February 2020). 2349:"Able Was I Ere I Saw Elba", 1825: 1434:longest palindromic substring 1354:) that, as a result of those 264:sator arepo tenet opera rotas 120:) is the longest in English. 45:ΝΙΨΟΝ ΑΝΟΜΗΜΑΤΑ ΜΗ ΜΟΝΑΝ ΟΨΙΝ 2837:. London. 10 November 2010. 2389:The Yale Book of Quotations, 1814:, which has the palindromic 784: 186: 7: 2449:"Google nGrams frequencies" 1710: 1436:of a given input string in 1432:It is possible to find the 871:using recorded readings by 699:Periodic continued fraction 603:is a Japanese novelist and 474:Characters, words, or lines 10: 3903: 3841:Observer-expectancy effect 3553:. Algonquin Books, 1996. 3438:Cambridge University Press 2744:@OED (17 September 2015). 2532:"Universal Palindrome Day" 2391:F. R. Shapiro, ed. (2006, 2250::part 2:34–36 (New Series 2243:, or Monthly Intelligencer 2179:"Longest palindromic word" 1794:List of palindromic places 1398:is a typical example of a 1275: 1243:Christ lag in Todes Banden 696: 690: 686: 520:; longer examples such as 477: 312: 306: 300: 207: 201: 165:palindromic gene sequences 29: 3801: 3768:Paranoiac-critical method 3750: 3714: 3664: 3648: 3601:European Day of Languages 3538:. Word Ways Press, 1992. 3308:10.1007/s00018-008-8265-1 3176:"Palindromes in proteins" 3082:Benjamin, Thomas (2003). 2883:Making the Alphabet Dance 2729:Michaelsen, O.V. (1998). 2214:Jewish Telegraphic Agency 2105:Fishwick, Duncan (1959). 2072:10.1080/0161-110391891919 1089:The Owl and the Pussy Cat 891:Oxford English Dictionary 514:rotator, deified, racecar 382: 285:palindrome, on a font at 3501:Palindromes and Anagrams 3432:; Rigo, Michael (eds.), 3390:10.1017/CBO9780511574931 2829:"Professor Peter Hilton" 2560:. BBC. 2 February 2020. 2296:The New Monthly Magazine 2241:The Gentleman's Magazine 2004:O'Donald, Megan (2018). 1111:, who had died in 1936. 1094:The first movement from 914:Guinness Book of Records 745: 717:recreational mathematics 663:. Five of the fictional 582: 538:recreational linguistics 468: 179:language, but it is not 3584:Encyclopædia Britannica 3258:10.1186/1471-2105-9-274 3192:10.1023/A:1023454111924 3155:(2–3): 287–91, 405–10. 2861:Here At The New Yorker, 2653:Durand, Gerard (2003). 2476:"Word-unit palindromes" 2365:"Doings in Baltimore". 1171:5—13 half-steps above. 924:and past participle of 239:The ancient Greek poet 2183:Guinness World Records 2122:University of Manitoba 1983:The Century Dictionary 1807:Palindromic polynomial 1576: 1292: 1229: 1087:'s final composition, 1028: 959:Guinness World Records 847: 845:, there is the phrase 796: 777:, and in a millennium 767:date format by country 708: 631:, the flamenco dancer 571: 465: 289: 236: 219:Historical development 63: 3005:6 August 2020 at the 2998:A helpful list is at 2881:Eckler, Ross (1996). 2800:Funny Side of English 2711:13 March 2008 at the 2624:10.1353/cal.2003.0045 2373:(2): 30. 8 July 1848. 2337:26 March 2023 at the 2308:26 March 2023 at the 2259:26 March 2023 at the 2149:Alex Preminger, ed., 1956:Alex Preminger, ed., 1931:26 March 2023 at the 1874:www.greek-language.gr 1652:(active 1964–present) 1608:Notable palindromists 1577: 1285: 1272:Biological structures 1177:Karlheinz Stockhausen 1077:Federico García Lorca 1023: 795: 758:or long digits as in 706: 639:, the creator of the 566: 559:Sentences and phrases 463: 442:James "Hermes" Harris 338:(St. Menin's Abbey); 281: 226: 51:) on a mosaic in the 42: 3521:Language on Vacation 3350:Crochemore, Maxime; 2767:James Joyce (1982). 2656:Palindromes en Folie 2418:7 April 2023 at the 2312:(July–December 1821) 2165:'palindrome', p. 596 1906:Researches in Greece 1902:William Martin Leake 1852:14 July 2020 at the 1626:Hugo Brandt Corstius 1475: 1447:of an infinite word 1342:sequence may form a 1278:Palindromic sequence 1128:String Quartet No. 9 1124:String Quartet No. 1 1067:, and most famously 932:. The 9-letter word 873:William S. Burroughs 324:Gregory of Nazianzus 3846:Pattern recognition 3819:Clustering illusion 3793:Visual cryptography 3496:Howard W. Bergerson 3296:Cell. Mol. Life Sci 3217:on 14 December 2019 1762:Constrained writing 1670:(fourth century CE) 1620:Howard W. Bergerson 1445:palindromic density 1236:movement of Bach's 1199:(met zuivere tonen) 1091:, is a palindrome. 1049:The interlude from 1001:"Weird Al" Yankovic 967:saippuakivikauppias 884:Longest palindromes 849:une Slave valse nue 679:The 1970s pop band 659:, a 1998 novel and 100:saippuakivikauppias 53:Monastery of Malevi 3656:Subliminal message 3578:"Palindrome"  3534:Stephen J. Chism. 3245:BMC Bioinformatics 3067:Charton, Shawn E. 2385:Notes and Queries, 2354:September 15, 2013 2351:Quote Investigator 2332::30 (July 8, 1848) 2050:Sheldon, Rose Mary 1972:'Sotadean', p. 784 1777:Palindromic number 1674:Velimir Khlebnikov 1572: 1521: 1382:Computation theory 1358:instructions, the 1293: 1109:Bernard van Dieren 1029: 797: 721:palindromic primes 709: 693:Palindromic number 623:and rock-vocalist 572: 466: 372:Hadleigh (Suffolk) 368:St Martin, Ludgate 290: 287:St Martin, Ludgate 247:called Sotadic or 237: 94:". The 19-letter 64: 32:Palindromes (film) 3874: 3873: 3824:Cryptic crossword 3701:Phonetic reversal 3605:Celebrated Sep 26 3597:Several languages 3447:978-0-521-51597-9 3399:978-0-521-58519-4 3367:978-981-02-4897-0 3042:978-3-7957-0249-6 2948:on 13 August 2022 2892:978-0-333-90334-6 2810:978-81-223-0799-3 2780:978-1-936694-38-9 2293:"On Palindromes" 2272:Richard Lederer, 2210:"Jewish Wordplay" 1812:Yreka, California 1568: 1550: 1506: 1451:over an alphabet 1114:British composer 1011:Other occurrences 894:is the 12-letter 812: 16:(Redirected from 3894: 3866:Unconscious mind 3635: 3628: 3621: 3612: 3611: 3607: 3588: 3580: 3549:Michael Donner. 3516:Dmitri A.Borgman 3489:The Palindromist 3459: 3458: 3425: 3419: 3418: 3377: 3371: 3370: 3352:Rytter, Wojciech 3347: 3338: 3337: 3319: 3287: 3281: 3280: 3270: 3260: 3236: 3227: 3226: 3224: 3222: 3216: 3210:. Archived from 3171: 3165: 3164: 3143: 3137: 3136: 3134: 3132: 3113: 3107: 3106: 3104: 3102: 3079: 3073: 3072: 3064: 3058: 3051: 3045: 3032:Rudolf Frisius, 3030: 3024: 3017:Lloyd, Stephen. 3015: 3009: 2996: 2990: 2989: 2987: 2985: 2964: 2958: 2957: 2955: 2953: 2944:. Archived from 2933: 2927: 2926: 2924: 2922: 2903: 2897: 2896: 2878: 2872: 2857: 2851: 2850: 2848: 2846: 2825: 2819: 2818: 2794: 2788: 2787: 2764: 2758: 2757: 2741: 2735: 2734: 2726: 2720: 2703: 2697: 2696: 2694: 2692: 2677: 2671: 2670: 2650: 2644: 2643: 2607: 2601: 2600: 2598: 2596: 2580: 2574: 2573: 2571: 2569: 2554: 2548: 2547: 2545: 2543: 2538:on 6 August 2020 2528: 2522: 2521: 2519: 2507: 2501: 2498: 2492: 2491: 2489: 2487: 2471: 2465: 2464: 2462: 2460: 2445: 2439: 2438: 2428: 2422: 2411:, London, 1861, 2406: 2400: 2381: 2375: 2374: 2362: 2356: 2347: 2341: 2322: 2313: 2291: 2285: 2270: 2264: 2236: 2230: 2229: 2227: 2225: 2205: 2199: 2198: 2196: 2194: 2175: 2166: 2147: 2141: 2140: 2138: 2136: 2130: 2111: 2102: 2096: 2095: 2093: 2091: 2046: 2040: 2039: 2037: 2035: 2001: 1995: 1979: 1973: 1954: 1948: 1941: 1935: 1924:, London, 1862, 1918: 1909: 1899: 1890: 1889: 1887: 1885: 1865: 1856: 1839: 1581: 1579: 1578: 1573: 1566: 1565: 1564: 1556: 1552: 1551: 1549: 1548: 1539: 1538: 1523: 1520: 1487: 1486: 1412:finite automaton 1334: 1330: 1234: 1192:Karel Goeyvaerts 1170: 1169: 1164: 1163: 1153:Piano Variations 1126:. His hour-long 1096:Constant Lambert 869:cut-up technique 862: 861: 814: 813: 794: 629:Revilo P. Oliver 390:Abraham ibn Ezra 384: 315: 314: 309: 308: 303: 302: 210: 209: 204: 203: 61: 21: 3902: 3901: 3897: 3896: 3895: 3893: 3892: 3891: 3877: 3876: 3875: 3870: 3797: 3783:Sacred geometry 3746: 3710: 3660: 3644: 3642:Hidden messages 3639: 3591: 3568: 3468: 3466:Further reading 3463: 3462: 3448: 3440:, p. 443, 3430:Berthé, Valérie 3426: 3422: 3400: 3378: 3374: 3368: 3348: 3341: 3288: 3284: 3237: 3230: 3220: 3218: 3214: 3180:J. Protein Chem 3172: 3168: 3144: 3140: 3130: 3128: 3115: 3114: 3110: 3100: 3098: 3096: 3080: 3076: 3065: 3061: 3052: 3048: 3031: 3027: 3016: 3012: 3007:Wayback Machine 2997: 2993: 2983: 2981: 2973:British Library 2966: 2965: 2961: 2951: 2949: 2934: 2930: 2920: 2918: 2917:on 29 June 2010 2911:Yale University 2905: 2904: 2900: 2893: 2879: 2875: 2858: 2854: 2844: 2842: 2834:Daily Telegraph 2827: 2826: 2822: 2811: 2795: 2791: 2781: 2765: 2761: 2742: 2738: 2727: 2723: 2713:Wayback Machine 2704: 2700: 2690: 2688: 2679: 2678: 2674: 2667: 2651: 2647: 2608: 2604: 2594: 2592: 2581: 2577: 2567: 2565: 2556: 2555: 2551: 2541: 2539: 2529: 2525: 2508: 2504: 2499: 2495: 2485: 2483: 2472: 2468: 2458: 2456: 2447: 2446: 2442: 2429: 2425: 2420:Wayback Machine 2407: 2403: 2382: 2378: 2364: 2363: 2359: 2348: 2344: 2339:Wayback Machine 2323: 2316: 2310:Wayback Machine 2292: 2288: 2271: 2267: 2261:Wayback Machine 2237: 2233: 2223: 2221: 2206: 2202: 2192: 2190: 2177: 2176: 2169: 2148: 2144: 2134: 2132: 2128: 2109: 2103: 2099: 2089: 2087: 2047: 2043: 2033: 2031: 2002: 1998: 1980: 1976: 1955: 1951: 1942: 1938: 1933:Wayback Machine 1920:H.B. Wheatley, 1919: 1912: 1900: 1893: 1883: 1881: 1866: 1859: 1854:Wayback Machine 1841:Henry Peacham, 1840: 1833: 1828: 1785: 1718: 1713: 1638:Anthony Etherin 1614:Dmitry Avaliani 1610: 1557: 1544: 1540: 1528: 1524: 1522: 1510: 1505: 1501: 1500: 1482: 1478: 1476: 1473: 1472: 1463: 1388:automata theory 1384: 1332: 1328: 1290: 1280: 1274: 1238:Mass in B minor 1211:classical music 1179:'s composition 1167: 1166: 1161: 1160: 1085:Igor Stravinsky 1036:Symphony No. 47 1018: 1016:Classical music 1013: 989:Satire: Veritas 965:19-letter word 886: 855: 843:French language 829: 828: 820: 818: 817: 816: 815: 808: 805: 798: 792: 787: 760:2 February 2020 748: 728:Lychrel numbers 701: 695: 689: 585: 561: 482: 480:Reversible poem 476: 471: 340:Dulwich College 301:ΝΙΨΟΝ ΑΝΟΜΗΜΑΤΑ 296:baptismal fonts 233:Oppède-le-Vieux 221: 189: 169:automata theory 55: 35: 28: 23: 22: 15: 12: 11: 5: 3900: 3890: 3889: 3872: 3871: 3869: 3868: 3863: 3858: 3853: 3848: 3843: 3838: 3833: 3832: 3831: 3821: 3816: 3814:Asemic writing 3811: 3805: 3803: 3799: 3798: 3796: 3795: 3790: 3785: 3780: 3775: 3770: 3765: 3760: 3754: 3752: 3748: 3747: 3745: 3744: 3739: 3734: 3729: 3724: 3718: 3716: 3712: 3711: 3709: 3708: 3706:Reverse speech 3703: 3698: 3697: 3696: 3691: 3681: 3680: 3679: 3668: 3666: 3662: 3661: 3659: 3658: 3652: 3650: 3646: 3645: 3638: 3637: 3630: 3623: 3615: 3609: 3608: 3589: 3575:, ed. (1911). 3573:Chisholm, Hugh 3567: 3566:External links 3564: 3563: 3562: 3559:978-1565121096 3547: 3544:978-0963515209 3532: 3530:978-0006523086 3513: 3510:978-0486206646 3493: 3485: 3467: 3464: 3461: 3460: 3446: 3420: 3398: 3372: 3366: 3339: 3302:(19): 2953–6. 3282: 3228: 3166: 3138: 3108: 3094: 3074: 3059: 3046: 3025: 3023:(2014), p. 258 3010: 2991: 2959: 2928: 2898: 2891: 2873: 2852: 2820: 2809: 2789: 2779: 2759: 2752:) – via 2736: 2721: 2698: 2672: 2666:978-2846220361 2665: 2645: 2618:(2): 306–319. 2602: 2575: 2549: 2523: 2502: 2493: 2466: 2440: 2423: 2401: 2376: 2357: 2342: 2314: 2286: 2265: 2231: 2200: 2167: 2142: 2097: 2066:(3): 233–287. 2041: 1996: 1990:'Sotadic', p. 1974: 1949: 1936: 1910: 1891: 1857: 1830: 1829: 1827: 1824: 1823: 1822: 1820:Yrella Gallery 1809: 1804: 1796: 1791: 1784: 1781: 1780: 1779: 1774: 1772:Mirror writing 1769: 1764: 1759: 1754: 1749: 1744: 1739: 1734: 1729: 1724: 1717: 1716:Related topics 1714: 1712: 1709: 1708: 1707: 1701: 1695: 1689: 1686:Demetri Martin 1683: 1682:(c. 1914–1979) 1677: 1671: 1665: 1659: 1653: 1647: 1641: 1635: 1629: 1623: 1617: 1609: 1606: 1587:Fibonacci word 1583: 1582: 1571: 1563: 1560: 1555: 1547: 1543: 1537: 1534: 1531: 1527: 1519: 1516: 1513: 1509: 1508:lim sup 1504: 1499: 1496: 1493: 1490: 1485: 1481: 1459: 1427:LL(k)-parsable 1423:LR(k)-parsable 1383: 1380: 1338:A palindromic 1286:Palindrome of 1276:Main article: 1273: 1270: 1145:Heinrich Isaac 1134:Hin und Zurück 1120:Symphony No. 2 1116:Robert Simpson 1017: 1014: 1012: 1009: 997:Demetri Martin 885: 882: 819: 806: 801: 800: 799: 790: 789: 788: 786: 783: 747: 744: 697:Main article: 691:Main article: 688: 685: 584: 581: 560: 557: 475: 472: 470: 467: 402:(non-kosher). 332:Constantinople 220: 217: 188: 185: 26: 9: 6: 4: 3: 2: 3899: 3888: 3885: 3884: 3882: 3867: 3864: 3862: 3861:Synchronicity 3859: 3857: 3854: 3852: 3849: 3847: 3844: 3842: 3839: 3837: 3834: 3830: 3827: 3826: 3825: 3822: 3820: 3817: 3815: 3812: 3810: 3807: 3806: 3804: 3800: 3794: 3791: 3789: 3788:Steganography 3786: 3784: 3781: 3779: 3776: 3774: 3771: 3769: 3766: 3764: 3761: 3759: 3756: 3755: 3753: 3749: 3743: 3740: 3738: 3735: 3733: 3730: 3728: 3725: 3723: 3720: 3719: 3717: 3713: 3707: 3704: 3702: 3699: 3695: 3692: 3690: 3687: 3686: 3685: 3682: 3678: 3675: 3674: 3673: 3670: 3669: 3667: 3663: 3657: 3654: 3653: 3651: 3647: 3643: 3636: 3631: 3629: 3624: 3622: 3617: 3616: 3613: 3606: 3602: 3598: 3594: 3593:"Palindromes" 3590: 3586: 3585: 3579: 3574: 3570: 3569: 3560: 3556: 3552: 3548: 3545: 3541: 3537: 3533: 3531: 3527: 3523: 3522: 3517: 3514: 3511: 3507: 3503: 3502: 3497: 3494: 3491: 3490: 3486: 3483: 3479: 3475: 3474: 3470: 3469: 3457: 3453: 3449: 3443: 3439: 3435: 3431: 3424: 3417: 3413: 3409: 3405: 3401: 3395: 3391: 3387: 3383: 3376: 3369: 3363: 3359: 3358: 3353: 3346: 3344: 3335: 3331: 3327: 3323: 3318: 3313: 3309: 3305: 3301: 3297: 3293: 3286: 3278: 3274: 3269: 3264: 3259: 3254: 3250: 3246: 3242: 3235: 3233: 3213: 3209: 3205: 3201: 3197: 3193: 3189: 3186:(2): 109–13. 3185: 3181: 3177: 3170: 3162: 3158: 3154: 3151: 3150: 3142: 3126: 3122: 3118: 3112: 3097: 3095:0-415-94391-4 3091: 3087: 3086: 3078: 3070: 3063: 3056: 3050: 3043: 3039: 3035: 3029: 3022: 3021: 3014: 3008: 3004: 3001: 2995: 2979: 2975: 2974: 2969: 2963: 2947: 2943: 2939: 2932: 2916: 2912: 2908: 2902: 2894: 2888: 2884: 2877: 2870: 2869:0-306-80810-2 2866: 2862: 2856: 2840: 2836: 2835: 2830: 2824: 2817: 2812: 2806: 2802: 2801: 2793: 2786: 2782: 2776: 2772: 2771: 2763: 2755: 2751: 2747: 2740: 2732: 2725: 2718: 2714: 2710: 2707: 2702: 2686: 2683:. Pfony.com. 2682: 2676: 2668: 2662: 2658: 2657: 2649: 2641: 2637: 2633: 2629: 2625: 2621: 2617: 2613: 2606: 2590: 2586: 2579: 2563: 2559: 2553: 2537: 2533: 2527: 2518: 2513: 2506: 2497: 2481: 2477: 2470: 2454: 2450: 2444: 2436: 2435: 2427: 2421: 2417: 2414: 2410: 2405: 2398: 2397:0-300-10798-6 2394: 2390: 2386: 2380: 2372: 2368: 2361: 2355: 2352: 2346: 2340: 2336: 2333: 2331: 2327: 2321: 2319: 2311: 2307: 2304: 2302: 2298: 2297: 2290: 2283: 2279: 2275: 2269: 2262: 2258: 2255: 2253: 2249: 2244: 2242: 2235: 2219: 2215: 2211: 2204: 2188: 2184: 2180: 2174: 2172: 2164: 2160: 2156: 2152: 2146: 2127: 2123: 2119: 2115: 2108: 2101: 2085: 2081: 2077: 2073: 2069: 2065: 2061: 2060: 2055: 2051: 2045: 2029: 2025: 2021: 2017: 2013: 2012: 2007: 2000: 1993: 1989: 1985: 1984: 1978: 1971: 1967: 1963: 1959: 1953: 1946: 1943:Jan Kwapisz, 1940: 1934: 1930: 1927: 1923: 1917: 1915: 1908:, 1814, p. 85 1907: 1903: 1898: 1896: 1879: 1875: 1871: 1864: 1862: 1855: 1851: 1848: 1844: 1838: 1836: 1831: 1821: 1817: 1813: 1810: 1808: 1805: 1802: 1801: 1797: 1795: 1792: 1790: 1787: 1786: 1783:Related cases 1778: 1775: 1773: 1770: 1768: 1765: 1763: 1760: 1758: 1755: 1753: 1750: 1748: 1745: 1743: 1740: 1738: 1735: 1733: 1730: 1728: 1725: 1723: 1720: 1719: 1705: 1704:Mark Saltveit 1702: 1699: 1698:Georges Perec 1696: 1693: 1690: 1687: 1684: 1681: 1678: 1675: 1672: 1669: 1668:Su Hui (poet) 1666: 1663: 1660: 1657: 1654: 1651: 1648: 1645: 1642: 1639: 1636: 1633: 1630: 1627: 1624: 1621: 1618: 1615: 1612: 1611: 1605: 1603: 1602:concatenation 1599: 1594: 1592: 1588: 1569: 1561: 1558: 1553: 1545: 1541: 1535: 1532: 1529: 1525: 1511: 1502: 1497: 1491: 1483: 1479: 1471: 1470: 1469: 1467: 1462: 1458: 1454: 1450: 1446: 1441: 1439: 1435: 1430: 1428: 1424: 1420: 1415: 1413: 1409: 1405: 1401: 1397: 1393: 1389: 1379: 1377: 1376:alpha helical 1371: 1369: 1365: 1361: 1357: 1353: 1349: 1345: 1341: 1336: 1326: 1322: 1318: 1314: 1310: 1306: 1302: 1298: 1289: 1288:DNA structure 1284: 1279: 1269: 1267: 1262: 1257: 1255: 1251: 1250: 1245: 1244: 1239: 1235: 1233: 1232: 1225: 1220: 1216: 1212: 1207: 1204: 1200: 1198: 1193: 1188: 1184: 1183: 1178: 1172: 1158: 1154: 1150: 1146: 1142: 1139:The music of 1137: 1135: 1131: 1129: 1125: 1121: 1117: 1112: 1110: 1106: 1105: 1101: 1097: 1092: 1090: 1086: 1082: 1078: 1074: 1070: 1066: 1062: 1058: 1057: 1052: 1047: 1045: 1041: 1037: 1033: 1027: 1022: 1008: 1006: 1002: 998: 994: 990: 985: 983: 982:Alastair Reid 979: 974: 972: 968: 964: 960: 957:According to 955: 953: 952: 947: 943: 939: 935: 931: 927: 923: 919: 915: 911: 910: 905: 901: 897: 893: 892: 881: 878: 874: 870: 866: 859: 852: 851: 850: 844: 840: 839: 834: 827: 825: 804: 782: 780: 776: 773:, the future 772: 768: 763: 761: 757: 755: 743: 740: 738: 734: 729: 724: 722: 718: 714: 705: 700: 694: 684: 682: 677: 675: 671: 668: 667: 662: 658: 657: 651: 649: 645: 642: 638: 635:, the runner 634: 630: 626: 622: 621:Robert Trebor 618: 614: 610: 606: 602: 598: 594: 590: 580: 578: 569: 565: 556: 554: 549: 547: 543: 540:community by 539: 533: 531: 527: 523: 519: 515: 511: 507: 503: 499: 495: 491: 487: 481: 462: 458: 456: 452: 447: 443: 439: 435: 431: 427: 423: 419: 414: 412: 408: 403: 401: 400: 395: 391: 387: 380: 375: 373: 369: 365: 361: 357: 353: 349: 345: 341: 337: 333: 329: 325: 321: 320: 313:ΜΗ ΜΟΝΑΝ ΟΨΙΝ 297: 294: 288: 284: 280: 276: 273: 269: 265: 261: 257: 252: 250: 246: 242: 234: 230: 225: 216: 214: 198: 197:Henry Peacham 194: 184: 182: 178: 174: 170: 166: 162: 158: 154: 149: 148: 146: 141: 137: 134: 130: 129:Henry Peacham 126: 121: 119: 118: 113: 109: 105: 101: 97: 93: 89: 85: 84: 79: 78: 73: 69: 59: 54: 50: 46: 41: 37: 33: 19: 3850: 3684:Hidden track 3604: 3596: 3582: 3550: 3535: 3519: 3499: 3487: 3471: 3433: 3423: 3381: 3375: 3356: 3299: 3295: 3285: 3248: 3244: 3219:. 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Sterling. 2486:18 November 2459:29 December 2263:(July 1830) 2224:21 November 2059:Cryptologia 1767:Eodermdrome 1752:Backmasking 1700:(1936–1982) 1676:(1885–1922) 1664:(1923–2010) 1650:Baby Gramps 1628:(1935–2014) 1622:(1922–2011) 1616:(1938–2003) 1438:linear time 1348:nucleotides 1309:nucleotides 1299:or sets of 1261:table canon 1246:, Handel's 1069:Béla Bartók 918:detartrated 904:James Joyce 877:word puzzle 865:John Oswald 617:Nihon-shiki 589:given names 546:Middle Ages 526:kinnikinnik 434:John Taylor 272:word square 245:Ionic meter 153:table canon 136:word square 112:James Joyce 70:is a word, 56: [ 18:Palindromic 3856:Simulacrum 3851:Palindrome 3836:Easter egg 3778:Psychorama 3773:Pareidolia 3742:Cryptology 3737:Bible code 3732:Theomatics 3727:Numerology 3722:Chronogram 3456:1271.11073 3149:Riv. 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In the 785:In speech 661:2003 film 648:Noel León 522:redivider 438:ampersand 293:Byzantine 275:gentry". 213:crab-like 191:The word 187:Etymology 123:The word 104:soapstone 3881:Category 3416:61800864 3334:29569626 3326:18791850 3317:11131741 3277:18547401 3208:28294669 3200:12760415 3125:Archived 3101:14 April 3003:Archived 2984:7 August 2978:Archived 2845:30 April 2839:Archived 2709:Archived 2691:23 April 2685:Archived 2612:Callaloo 2589:Archived 2562:Archived 2480:Archived 2453:Archived 2416:Archived 2335:Archived 2306:Archived 2303::170–173 2276:, 1998, 2257:Archived 2218:Archived 2187:Archived 2153:, 1965, 2126:Archived 2084:Archived 2052:(2003). 2028:Archived 2024:26603971 1986:, 1889, 1960:, 1965, 1929:Archived 1878:Archived 1850:Archived 1845:, 1638, 1757:Chiasmus 1727:Anadrome 1722:Ambigram 1711:See also 1402:that is 1400:language 1396:alphabet 1352:proteins 1333:TGGATCCA 1329:ACCTAGGT 1321:Cytosine 1197:Nummer 5 1187:permuted 1168:♭ 1162:♯ 1149:symphony 942:redivide 754:11/11/11 726:Whether 644:Tim Smit 625:Ola Salo 593:surnames 568:Ambigram 451:Napoleon 420:such as 394:halachic 268:acrostic 249:Sotadean 235:, France 173:alphabet 163:include 133:acrostic 3829:Anagram 3715:Numeric 3603:(EDL). 3408:1460730 3268:2474621 3251:: 274. 3161:2128128 2952:15 June 2942:Popdust 2863:(1997, 2770:Ulysses 2754:Twitter 2632:3300855 2587:. 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Index

Palindromic
Palindromes (film)

ΝΙΨΟΝ ΑΝΟΜΗΜΑΤΑ ΜΗ ΜΟΝΑΝ ΟΨΙΝ
Monastery of Malevi
el
number
madam
racecar
22/02/2022
Panama
Finnish
soapstone
James Joyce
Ulysses
Henry Peacham
acrostic
word square
Sator Square
nipson anomemata me monan opsin
table canon
crab canon
genomes
palindromic gene sequences
automata theory
alphabet
context-free
regular
Henry Peacham

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