67:
103:
143:
571:
159:
127:
784:
83:
772:
585:
800:
made the
Fibonacci sequence a recurring theme in his work. Examples are the Chimney of Turku Energia, in Turku, Finland, featuring the start of the Fibonacci sequence in 2 m high neon lights, and the representation of the first Fibonacci numbers with red neon lights on one face of the four-faced dome
910:
series had a storyline that featured a parrot belonging to a deceased individual who was fascinated by the
Fibonacci numbers. When "1, 1, 2, 3" is said in the parrot's presence, it responds "5, eureka!" This proves to be the key to solving the case: tiles in a garden wall are found to follow the
334:
John Waskom postulated that stages of human development followed the
Fibonacci sequence, and that the unfolding psychology of human life would ideally be a "living proof" of the Golden Mean. This theory was originally developed and published by Norman Rose in two articles. The first article, which
66:
959:. It revolves around a number sequence 318 5296 3287 9.5 22 975 6 1188 1604 55124... and on. These numbers are calculated from using the Fibonacci sequence in some way to reveal patterns in both natural and artificial systems, essentially allowing the characters to predict the future.
335:
laid out the general theory, was entitled "Design and
Development of Wholeness: Waskom's Paradigm." The second article laid out the applications and implications of the theory to the topic of moral development, and was entitled "Moral Development: The Experiential Perspective."
558:" from the album of the same name features the Fibonacci sequence symbolically in the verses of the song. The syllables in the first verse count 1, 1, 2, 3, 5, 8, 5, 13, 13, 8, 5, 3. The missing section (2, 1, 1, 2, 3, 5, 8) is later filled in during the second verse. The
942:, the Fibonacci sequence is used to build a house. The house becomes a nexus for lost spirits. One character, Fiona, is given a choice to use it to free her father as well as the builder of the house, but ultimately chooses to free the spirits and destroys the nexus.
325:, Frazz and a student are discussing her knitted hat. The student says, "Mom sewed one sparkly here and here. Two sparklies here. Three sparklies. Five sparklies. Eight sparklies. Thirteen..." To which Frazz replies, "Fibonacci sequins, of course."
669:
also recorded a song titled "Fibonacci
Sequence". The narrator in the song goes through all the numbers of the sequence from 1 to 21 (0 is not mentioned). The track appeared on a limited edition version of his 1999 album
102:
262:(2008), the first seven numbers in the Fibonacci Sequence are drawn in icing on Ben's (Jim Sturgess) birthday cake. The 8th term, 21, is left out. Ben and Miles (Josh Gad) quickly figure it out.
34:, are a popular theme in culture. They have been mentioned in novels, films, television shows, and songs. The numbers have also been used in the creation of music, visual art, and architecture.
142:
1937:
636:, for piano 4, 5 and 6 hands, which makes an extensive use of the Fibonacci numbers for deriving and developing the whole melodic, rhythmic and harmonic structure of the piece.
30:, starting with 0, 1 and continuing 1, 2, 3, 5, 8, 13, ..., each new number being the sum of the previous two. The Fibonacci numbers, often presented in conjunction with the
1758:
312:, characters Jason and Marcus take one nacho from a bowl, one more nacho, then two nachos, three nachos, five nachos, eight nachos, etc., calling it 'Fibonacho.'
1508:
924:
features a serial killer who uses
Fibonacci sequences to choose both the number of victims he kills at a given time, as well as the location of their hometowns.
704:
uses the
Fibonacci in the song "Vermin". The lyrics start with, "1, 2 3 5 8, Who do we decapitate?" and continues through a few more iterations of the sequence.
566:
says, "It was originally titled 9-8-7. For the time signatures. Then it turned out that 987 was the 16th number of the
Fibonacci sequence. So that was cool."
893:
recites the
Fibonacci sequence to fall asleep. It is later revealed to be the key sequence identifying a series of safe deposit boxes he had maintained.
158:
126:
614:
193:) is given a set of numbers to identify in order to gain entry to the "Numbers Mine", and correctly answers noting that it is the Fibonacci sequence.
1871:
1787:
527:
455:
The
Fibonacci sequence is used by a serial killer to attract the protagonist Special Agent Pendergast in the Douglas Preston/Lincoln Child novel
223:(2006), the numbers are used to unlock a safe. They are also placed out of order in a message to indicate that the message is also out of order (
570:
1278:
851:, Norway. The artist used the sequence to express the walking pattern and rhythm of footsteps of pedestrian traffic in and out of the station.
1721:
1647:
1553:
1408:
1054:
740:, contains a soprano aria titled "Sing of Nature, Sing of Numbers" with lyrics and music based on the Fibonacci series, sung in character by
367:, the Fibonacci sequence (as well as the Fibonacci constant) are used as identification signs by an organization called the "Friends of God".
1897:
1892:
578:
82:
1156:
1816:
1532:
1374:
1262:
1227:
1189:
452:, involves a partially completed access code, the remaining numbers of which can only be found by extrapolating a Fibonacci pattern.
232:
1767:
292:) checks if the aliens have communicated with humans in any of the following approaches: "shapes, patterns, numbers, fibonacci".
857:
uses the Fibonacci sequence to accumulate the intricate patterns of dots in her paintings "to create a visible record of time."
1371:
880:, first in the main character Eleanor's horoscope on the day she dies and as the area code on the afterlife's neighborhood.
1637:
386:
1779:
1568:
1114:
477:, is structured around an inverse Fibonacci sequence, with each part of the book half the length of the one preceding it.
1771:
185:
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1512:
1932:
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1347:
1069:
1902:
921:
219:
73:
1302:, performed by Taglieri Genitoni Duo, live recording, "Concerti e Colline", Nizza Monferrato, 31 January 2012
279:) loses her virginity, the boy who deflowers her does so in a sequence of thrusts that are Fibonacci numbers.
1809:
1400:
412:
76:. The tiles making up the terrace are arranged to form shapes with sides in proportion to Fibonacci number.
947:
884:
678:
672:
149:
133:
1312:
1483:
929:
897:
474:
382:
1694:
Kak, Subhash (2009). "The Golden Mean and the Physics of Aesthetics". In Yadav, B.; Mohan, M. (eds.).
968:
episode "Thirteen", a Fibonacci sequence is embedded in a numeric code left behind by a serial killer.
783:
848:
718:
276:
272:
109:
1908:
1848:
1006:, a Fibonacci sequence is rapidly fired back-and-forth in a battle of wits between two archenemies.
986:
632:
Italian composer and mathematical-physicist Matteo Sommacal wrote in 2002 the eight-movement suite
267:
245:
1358:
1043:
Sustainability at the Cutting Edge, Second Edition: Emerging Technologies for low energy buildings
1866:
1802:
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1727:
1699:
1679:
889:
522:
861:
1160:
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1404:
1258:
1233:
1223:
1185:
1050:
956:
820:
802:
733:
601:
391:
375:
350:
250:
89:
816:
Fibonacci numbers have also been used in knitting to create aesthetically appealing patterns.
1709:
621:
The Fibonacci numbers are also apparent in the organisation of the sections in the music of
574:
555:
498:
407:
205:
197:
18:
1751:
1572:
1197:
981:
854:
838:
828:
640:
559:
1770:– Rachael Hall surveys rhythm and Fibonacci numbers and also the Hemachandra connection.
1211:
977:, the sequence of 8, 13, 21, is shown on the back of the Enchiridion in certain episodes.
693:
described Fibonacci numbers in a word jazz piece called "Fibonacci Numbers" on his album
597:
488:
1192:. Citing Lendvai (1972). "Einführung in die Formen- und Harmonienwelt Bartóks" (1953),
973:
916:
876:
741:
659:
622:
609:
469:
464:
449:
358:
284:
258:
1926:
708:
666:
618:, the opening xylophone passage uses Fibonacci rhythm as such: 1:1:2:3:5:8:5:3:2:1:1.
518:
493:
289:
237:
201:
190:
1731:
911:
Fibonacci sequence, with a secret compartment hidden behind the lone misplaced tile.
1088:
748:
729:
605:
44:
31:
1611:
1585:
1101:
842:
1840:
1713:
1667:
1015:
992:
952:
841:
used the Fibonacci numeral sequence to create the geometric shapes of her piece
690:
651:
629:, in which the sequence of keys is marked out by the intervals 34, 21, 13 and 8.
563:
551:
444:
419:
322:
771:
1565:
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1341:
1297:
1143:
1118:
797:
714:
683:
457:
309:
117:
48:
240:) after an interview in which he demonstrates knowledge of Fibonacci numbers.
1825:
1396:
1392:
1219:
1139:
722:
701:
378:, the Fibonacci sequence is used to define the number of lines in each poem.
345:
210:
1389:
Prog Rock FAQ: All That's Left To Know About Rock's Most Progressive Music
1237:
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655:
424:
52:
43:
The sequence has been used in the design of a building, the Core, at the
23:
1704:
1684:
1458:
945:
The Fibonacci sequence is a main plot theme in the 2012 television show
1788:
Fibonacci Numbers and The Golden Section in Art, Architecture and Music
1020:
964:
906:
304:
224:
169:
56:
27:
991:, one of the kidnapping victims is named Fibonacci Sequins (voiced by
831:
1010:
999:
806:
782:
770:
759:
363:
317:
165:
93:
418:
The Fibonacci sequence and golden ratio are briefly described in
398:
The Fibonacci sequence is frequently referenced in the 2001 book
1533:
Ingmar Lehman: „Fibonacci-numbers in visual arts and literature"
431:
The Fibonacci sequence is explored in Emily Gravett's 2009 book
405:
A youthful Fibonacci is one of the main characters in the novel
113:
1798:
864:
used the Fibonacci numeral sequence in his sculptural projects.
437:
The Rabbit Problem is also described in Marina Lewycka's book
604:'s works as being based on two opposing systems, that of the
1794:
1313:"Musica, Fisica e Matematica: intervista a Matteo Sommacal"
847:, installed from February to August 2015 on the façade of
758:
In 2018, shortly before his death, Russian hip hop artist
1670:(2006). "The Golden Mean and the Physics of Aesthetics".
1138:. An exposition of how the fibonacci sequence appears in
1100:
Journal of Moral Education, 21, 1 (Winter, 1992), 29-40
562:
of the chorus change from 9/8 to 8/8 to 7/8; as drummer
1636:
Posamentier, Alfred S.; Lehmann, Ingmar (2010-12-30).
751:
recorded the song "Fibonacci Sequence" from the album
725:
using Fibonacci numbers to establish beat and harmony.
253:
is seen arranging sugar cubes in a Fibonacci sequence.
1255:
The Dynamics of Delight: Architecture and Aesthetics
1087:
The Educational Forum, 55, 3 (Spring 1991), 243-259
525:'s song "Astronomy (8th Light)" from the 1998 album
1880:
1859:
1832:
1612:"Patterning: Selections from the Kentler Flatfiles"
537:
Now everybody hop on the one, the sounds of the two
676:, and is also featured on the second disc of the
1089:http://whizkidz.org/design/DevelopmentDesign.pdf
1019:, the Fibonacci sequence is mentioned during an
531:, features the Fibonacci sequence in the chorus:
236:(2007), Magorium hires accountant Henry Weston (
1102:http://whizkidz.org/design/MoralDevelopment.pdf
577:intervals (counting in semitones) in Bartók's
541:It's the third eye vision, five side dimension
214:(1998). They are used to find the name of God.
148:Detailed view of the Fibonacci numbers in the
1938:Mathematics-related topics in popular culture
1810:
823:uses Fibonacci numbers in her paintings. Her
344:The Fibonacci sequence plays a small part in
8:
1780:Hemachandra's application to Sanskrit poetry
545:The 8th Light, is gonna shine bright tonight
1791:, which lists a number of academic sources.
1566:About the exhibition, interview on Radio Ö1
1548:. Vernissage Verlag Brod Media, Wien 2009,
1144:https://www.youtube.com/watch?v=wS7CZIJVxFY
1142:set to pictures from the Hubble telescope:
711:used Fibonacci numbers in his compositions.
381:It was briefly included (and recognized by
1817:
1803:
1795:
762:recorded the song "Fibonacci" (in English)
1703:
1698:. Vol. 5. Boston. pp. 111–119.
1683:
1535:(German)(last called on November 7, 2009)
615:Music for Strings, Percussion and Celesta
204:, the Fibonacci sequence is mentioned in
1319:, Article 61, April 2015, ISSN 2420-8442
1249:
1247:
569:
528:Mos Def & Talib Kweli are Black Star
1872:Greedy algorithm for Egyptian fractions
1757:CS1 maint: location missing publisher (
1546:Mathemagische Bilder - Bilder und Texte
1033:
927:Aliens use Fibonacci's sequence in the
874:Fibonacci numbers appear in the series
62:
1747:
1737:
1696:Ancient Indian Leaps into Mathematics
1216:Béla Bartók: An Analysis of his Music
1115:"Interview with Maynard James Keenan"
1076:"Eden Project gets into flower power"
448:(1998), a novel by Australian writer
7:
1898:Generalizations of Fibonacci numbers
1893:List of things named after Fibonacci
1888:Fibonacci numbers in popular culture
647:according to the Fibonacci sequence.
612:. In the third movement of Bartók's
579:Sonata for Two Pianos and Percussion
411:(1973). He was left out of the 2006
302:In the February 8, 2009, edition of
1616:Kentler International Drawing Space
1372:Elliott Sharp's Instrumental Vision
1257:(New York: Routledge, 2003) p. 83,
809:, Italy, part of the artistic work
662:, that recorded from 1981 to 1987.
650:Fibonacci's name was adopted by a
645:Trio for clarinet, cello and piano
164:Fibonacci numbers on a chimney in
14:
1425:Doctor Steel's Fibonacci Sequence
1610:Friedman, Samantha (June 2009).
1283:, performed by Valeria Di Matteo
288:(2016), character Ian Donnelly (
271:(2013), the character Seligman (
157:
141:
125:
101:
81:
65:
1575:(recalled at February 28, 2010)
689:Voiceover and recording artist
487:Bollywood lyricist Vayu's song
1639:The Fabulous Fibonacci Numbers
1509:"Fibonacci Accessories: Scarf"
1359:Fibonacci Numbers: Ken Nordine
1222:. London: Kahn & Averill.
1113:Di Carlo, Christopher (2001).
1041:Smith, Peter (December 2007).
1009:In episode 14 of the Japanese
998:In episode 11 of the Japanese
936:In the Disney Channel TV show
233:Mr. Magorium's Wonder Emporium
1:
1783:, (undated; 2005 or earlier).
1442:Detsl aka Le Truk - Fibonacci
679:Global Underground 013: Ibiza
643:structured the values in his
348:bestselling novel (and film)
108:The Fibonacci numbers at the
72:The Fibonacci Terrace at the
860:German artist and architect
827:paintings were shown at the
700:Australian electronic group
439:Various Pets Alive and Dead.
370:In the collection of poetry
1768:Math for Poets and Drummers
1714:10.1007/978-0-8176-4695-0_7
747:In 2001, American musician
721:" for the avant-rock group
627:Image, Reflections in Water
1954:
813:("Flight of the numbers").
717:composed an instrumental "
387:television film adaptation
1903:The Fibonacci Association
1772:Saint Joseph's University
1328:Weselmann, Thomas (2003)
1194:Béla Bartók: Weg und Werk
933:episode "God's Equation".
920:episode "Masterpiece" in
132:Fibonacci numbers in the
88:Fibonacci numbers at the
1544:2009: Martina Schettina:
971:On the animated TV show
883:The scientist character
74:Science Centre Singapore
1343:BT - Fibonacci Sequence
1180:Maconie, Robin (2005).
887:in the television show
507:Roll Karti Jaise Barrel
275:) notes that when Joe (
1484:"Obituary: Mario Merz"
1155:Norris, Chris (2001).
792:
791:, 2014, 10 cm to 6.8 m
780:
673:Movement in Still Life
593:
473:(2013), winner of the
1387:Romano, Will (2014).
898:Square One Television
786:
774:
707:Avant garde composer
682:compilation mixed by
573:
511:Fibonacci Wala Spiral
475:2013 Man Booker Prize
383:Charles Wallace Murry
186:The Phantom Tollbooth
1642:. Prometheus Books.
1490:. London. 2003-11-13
1294:Fibonacci's Piranhas
1275:Fibonacci's Piranhas
1157:"Hammer Of The Gods"
1004:Aguu: Tensai Ningyou
849:Oslo Central Station
634:Fibonacci's Piranhas
402:by Jason S. Hornsby.
277:Charlotte Gainsbourg
208:'s independent film
1909:Fibonacci Quarterly
1849:The Book of Squares
1391:(e-book ed.).
987:The Powerpuff Girls
775:Martina Schettina:
581:, 3rd mov. (1937).
433:The Rabbit Problem.
374:by the Danish poet
246:L: Change the World
150:Zürich Hauptbahnhof
134:Zürich Hauptbahnhof
1867:Fibonacci sequence
1692:Also published as
1586:"Rear Window 2015"
1571:2011-06-05 at the
811:Il volo dei Numeri
793:
787:Petra Paffenholz:
781:
779:, 2008, 40 x 40 cm
695:A Transparent Mask
665:American musician
594:
400:The Perfect Spiral
1933:Fibonacci numbers
1920:
1919:
1723:978-0-8176-4694-3
1649:978-1-61592-022-8
1554:978-3-200-01743-6
1459:"FIBONACCI CUBES"
1410:978-1-61713-587-3
1377:, October 4, 2005
1330:Musica incrostata
1056:978-0-7506-8300-5
957:Kiefer Sutherland
821:Martina Schettina
803:Mole Antonelliana
734:Komar and Melamid
392:A Wrinkle in Time
376:Inger Christensen
351:The Da Vinci Code
330:Human development
273:Stellan Skarsgård
220:The Da Vinci Code
90:Mole Antonelliana
19:Fibonacci numbers
1945:
1819:
1812:
1805:
1796:
1762:
1755:
1749:
1745:
1743:
1735:
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1582:
1576:
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1557:
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1530:
1524:
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1521:
1520:
1511:. Archived from
1505:
1499:
1498:
1496:
1495:
1480:
1474:
1473:
1471:
1469:
1463:PETRA PAFFENHOLZ
1455:
1449:
1443:
1438:
1432:
1426:
1421:
1415:
1414:
1384:
1378:
1375:The Morning News
1368:
1362:
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1350:
1344:
1339:
1333:
1326:
1320:
1309:
1303:
1290:
1284:
1271:
1265:
1253:Smith, Peter F.
1251:
1242:
1241:
1207:
1201:
1178:
1172:
1171:
1169:
1168:
1159:. Archived from
1152:
1146:
1136:
1130:
1129:
1127:
1126:
1117:. Archived from
1110:
1104:
1098:
1092:
1085:
1079:
1067:
1061:
1060:
1038:
962:In the CBS show
903:
777:Fibonaccis Dream
738:Naked Revolution
639:Polish composer
592:
591:
590:
588:
546:
542:
538:
512:
508:
499:Fibonacci spiral
408:Crusade in Jeans
206:Darren Aronofsky
198:golden rectangle
161:
145:
129:
105:
85:
69:
1953:
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1923:
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1724:
1705:physics/0411195
1693:
1685:physics/0411195
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1650:
1635:
1634:
1630:
1620:
1618:
1609:
1608:
1604:
1594:
1592:
1590:Marisa Ferreira
1584:
1583:
1579:
1573:Wayback Machine
1564:
1560:
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1539:
1531:
1527:
1518:
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1403:. p. 315.
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1272:
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1210:
1208:
1204:
1198:Bence Szabolcsi
1184:, 26 & 28.
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1057:
1049:. p. 151.
1040:
1039:
1035:
1030:
989:: Dance Pantsed
982:Cartoon Network
901:
871:
855:Grace DeGennaro
839:Marisa Ferreira
829:Museumsquartier
789:Fibonacci Cubes
769:
753:People of Earth
641:Krzysztof Meyer
586:
584:
583:
582:
560:time signatures
548:
544:
543:
540:
539:
536:
515:
513:
510:
509:
506:
491:from the movie
489:"Beat pe Booty"
484:
341:
332:
299:
196:Along with the
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1763:
1748:|journal=
1722:
1672:FoArm Magazine
1662:
1661:External links
1659:
1656:
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1628:
1602:
1577:
1558:
1537:
1525:
1500:
1475:
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1433:
1416:
1409:
1401:Backbeat Books
1379:
1363:
1361:at Amazon.com.
1351:
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1024:
1013:adaptation of
1007:
996:
978:
974:Adventure Time
969:
960:
951:, produced by
943:
934:
925:
917:Criminal Minds
912:
894:
881:
877:The Good Place
870:
867:
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865:
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852:
837:Visual artist
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817:
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623:Claude Debussy
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470:The Luminaries
465:Eleanor Catton
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1621:December 23,
1619:. Retrieved
1615:
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1513:the original
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1488:The Guardian
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1370:Ambrose, P.
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1280:5th Movement
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1196:, p.105-49.
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1161:the original
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1119:the original
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1071:The Engineer
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297:Comic strips
283:
268:Nymphomaniac
266:
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184:
45:Eden Project
38:Architecture
32:golden ratio
17:
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1841:Liber Abaci
1016:Banana Fish
993:Ringo Starr
953:Fox Network
844:Rear Window
819:The artist
767:Visual arts
691:Ken Nordine
652:Los Angeles
602:Béla Bartók
564:Danny Carey
445:Ice Station
420:John Fowles
346:Dan Brown's
323:Jef Mallett
116:created by
1927:Categories
1519:2007-12-31
1494:2008-09-14
1167:2007-04-25
1125:2007-05-22
1028:References
869:Television
862:Claus Bury
825:Mathemagic
798:Mario Merz
715:Fred Frith
523:Black Star
458:Two Graves
415:, however.
339:Literature
310:Bill Amend
118:Mario Merz
49:St Austell
1826:Fibonacci
1750:ignored (
1740:cite book
1678:: 73–81.
1397:Wisconsin
1393:Milwaukee
1317:Ticonzero
1220:Alan Bush
1140:Lateralus
728:Composer
723:Henry Cow
702:Angelspit
600:analyzes
575:Fibonacci
556:Lateralus
554:'s song "
467:'s novel
385:) in the
361:'s novel
1860:Theories
1732:18056061
1569:Archived
1556:(German)
1332:. Poznan
1214:(1971).
1047:Elsevier
984:special
939:So Weird
922:season 4
834:in 2010.
656:art rock
608:and the
425:A Maggot
249:(2008),
53:Cornwall
28:integers
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1881:Related
1774:, 2005.
1468:15 July
1447:YouTube
1430:YouTube
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1021:IQ test
1002:series
980:In the
965:Numb3rs
907:Mathnet
801:of the
796:Artist
654:-based
519:Hip hop
461:(2012).
372:alfabet
305:FoxTrot
285:Arrival
225:anagram
170:Finland
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1200:, ed.
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482:Music
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1759:link
1752:help
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1644:ISBN
1623:2018
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1470:2017
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1234:OCLC
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