Fibonacci numbers in popular culture
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Fibonacci number In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...
s are a
sequence In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is calle ...
of
integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...
s, 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
golden ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( ...
, 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.


Architecture

* The sequence has been used in the design of a building, the Core, at the
Eden Project The Eden Project ( kw, Edenva) is a visitor attraction in Cornwall, England, UK. The project is located in a reclaimed china clay pit, located from the town of St Blazey and from the larger town of St Austell.Ordnance Survey (2005). ''OS E ...
, near
St Austell St Austell (; kw, Sans Austel) is a town in Cornwall, England, south of Bodmin and west of the border with Devon. St Austell is one of the largest towns in Cornwall; at the 2011 census it had a population of 19,958. History St Austell wa ...
,
Cornwall Cornwall (; kw, Kernow ) is a historic county and ceremonial county in South West England. It is recognised as one of the Celtic nations, and is the homeland of the Cornish people. Cornwall is bordered to the north and west by the Atlantic ...
,
England England is a country that is part of the United Kingdom. It shares land borders with Wales to its west and Scotland to its north. The Irish Sea lies northwest and the Celtic Sea to the southwest. It is separated from continental Europe b ...
. File:Fibonacci Terrace, Science Centre Singapore - 20151121.jpg, The Fibonacci Terrace at the
Science Centre Singapore The Science Centre Singapore, previously known as Singapore Science Centre is a scientific institution in Jurong East, Singapore, specialising in the promotion of scientific and technological education for the general public. It houses over 85 ...
. The tiles making up the terrace are arranged to form shapes with sides in proportion to Fibonacci number. File:Fibonacci molle.JPG, Fibonacci numbers at the
Mole Antonelliana The Mole Antonelliana () is a major landmark building in Turin, Italy, named after its architect, Alessandro Antonelli. A ''mole'' in Italian is a building of monumental proportions. Construction began in 1863, soon after Italian unification, an ...
in
Turin Turin ( , Piedmontese language, Piedmontese: ; it, Torino ) is a city and an important business and cultural centre in Northern Italy. It is the capital city of Piedmont and of the Metropolitan City of Turin, and was the first Italian capital ...
. File:Unna Lindenbrauerei Kamin Fibonacci IMGP3083.jpg, The Fibonacci numbers at the Lindenbrauerei in
Unna Unna is a city of around 59,000 people in North Rhine-Westphalia, Germany, the seat of the Unna district. The newly refurbished Unna station has trains to all major cities in North Rhine Westphalia including Dortmund, Cologne, Münster, Hamm, D ...
created by
Mario Merz Mario Merz (1 January 1925 – 9 November 2003) was an Italian artist, and husband of Marisa Merz. Life Born in Milan, Merz started drawing during World War II, when he was imprisoned for his activities with the ''Giustizia e Libertà'' antifa ...
. File:Fibonacci numbers in Zurich HB.jpg, Fibonacci numbers in the
Zürich Hauptbahnhof Zürich Hauptbahnhof (often shortened to Zürich HB, or just HB; ''Zürich Main Station'' or ''Zürich Central Station'') is the largest railway station in Switzerland. Zürich is a major railway hub, with services to and from across Switzerland a ...
. File:Fibonacci numbers at Zurich Main Station.jpg, Detailed view of the Fibonacci numbers in the
Zürich Hauptbahnhof Zürich Hauptbahnhof (often shortened to Zürich HB, or just HB; ''Zürich Main Station'' or ''Zürich Central Station'') is the largest railway station in Switzerland. Zürich is a major railway hub, with services to and from across Switzerland a ...
. File:Fibonacci chimney (cropped).jpg, Fibonacci numbers on a chimney in
Turku Turku ( ; ; sv, Åbo, ) is a city and former capital on the southwest coast of Finland at the mouth of the Aura River, in the region of Finland Proper (''Varsinais-Suomi'') and the former Turku and Pori Province (''Turun ja Porin lääni''; ...
,
Finland Finland ( fi, Suomi ; sv, Finland ), officially the Republic of Finland (; ), is a Nordic country in Northern Europe. It shares land borders with Sweden to the northwest, Norway to the north, and Russia to the east, with the Gulf of B ...
.


Cinema

* In ''
The Phantom Tollbooth ''The Phantom Tollbooth'' is a children's fantasy adventure novel written by Norton Juster, with illustrations by Jules Feiffer, first published in 1961. The story follows a bored young boy named Milo who unexpectedly receives a magic tollb ...
'' (1970), Milo (
Butch Patrick Butch Patrick (born Patrick Alan Lilley; August 2, 1953) is an American actor and musician. Beginning his professional acting career at the age of seven, Patrick is perhaps best known for his role as child werewolf Eddie Munster on the CBS comedy ...
) 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. * Along with the
golden rectangle In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1 : \tfrac, which is 1:\varphi (the Greek letter phi), where \varphi is approximately 1.618. Golden rectangles exhibit a special form of self-similarity ...
and
golden spiral In geometry, a golden spiral is a logarithmic spiral whose growth factor is , the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of for every quarter turn it makes. Approximations of the golden spira ...
, the Fibonacci sequence is mentioned in
Darren Aronofsky Darren Aronofsky (born February 12, 1969) is an American film director, producer, and screenwriter. His films are noted for their surrealistic, melodramatic, and sometimes disturbing elements, often in the form of psychological fiction. Aronof ...
's independent film '' Pi'' (1998). They are used to find the name of God. * In ''
The Da Vinci Code ''The Da Vinci Code'' is a 2003 mystery thriller novel by Dan Brown. It is Brown's second novel to include the character Robert Langdon: the first was his 2000 novel ''Angels & Demons''. ''The Da Vinci Code'' follows symbologist Robert Langdon ...
'' (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 (
anagram An anagram is a word or phrase formed by rearranging the letters of a different word or phrase, typically using all the original letters exactly once. For example, the word ''anagram'' itself can be rearranged into ''nag a ram'', also the word ...
). * In ''
Mr. Magorium's Wonder Emporium ''Mr. Magorium's Wonder Emporium'' is the best movie ever and a 2007 children's fantasy comedy film written and directed by Zach Helm, produced by FilmColony, Mandate Pictures, Walden Media, Richard N. Gladstein and James Garavente, and with mu ...
'' (2007), Magorium hires accountant Henry Weston (
Jason Bateman Jason Kent Bateman (born January 14, 1969) is an American actor, director and producer known for his roles of Michael Bluth in the Fox Broadcasting Company, Fox/Netflix sitcom ''Arrested Development (TV series), Arrested Development'' and of Mart ...
) after an interview in which he demonstrates knowledge of Fibonacci numbers. * In '' L: Change the World'' (2008),
Near NEAR or Near may refer to: People * Thomas J. Near, US evolutionary ichthyologist * Near, a developer who created the higan emulator Science, mathematics, technology, biology, and medicine * National Emergency Alarm Repeater (NEAR), a former ...
is seen arranging sugar cubes in a Fibonacci sequence. * In '' 21'' (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. * In ''
Nymphomaniac Hypersexuality is extremely frequent or suddenly increased libido. It is controversial whether it should be included as a clinical diagnosis used by mental healthcare professionals. Nymphomania and satyriasis were terms previously used for the c ...
'' (2013), the character Seligman (
Stellan Skarsgård Stellan Skarsgård (, ; born 13 June 1951) is a Swedish actor. He is known for his collaborations with director Lars von Trier appearing in ''Breaking the Waves'' (1996), ''Dancer in the Dark'' (2000), ''Dogville'' (2007), ''Melancholia'' (2011 ...
) notes that when Joe (
Charlotte Gainsbourg Charlotte Lucy Gainsbourg (; born 21 July 1971) is a British-French actress and singer. She is the daughter of English actress Jane Birkin and French musician Serge Gainsbourg. After making her musical debut with her father on the song "Lemon I ...
) loses her virginity, the boy who deflowers her does so in a sequence of thrusts that are Fibonacci numbers. * In ''
Arrival Arrival(s) or The Arrival(s) may refer to: Film * ''The Arrival'' (1991 film), an American science fiction horror film * ''The Arrival'' (1996 film), an American-Mexican science fiction horror film * ''Arrival'' (film), a 2016 American science ...
'' (2016), character Ian Donnelly (
Jeremy Renner Jeremy Lee Renner (born January 7, 1971) is an American actor and musician. He began his career by appearing in independent films such as '' Dahmer'' (2002) and ''Neo Ned'' (2005), then supporting roles in bigger films, such as ''S.W.A.T.'' (2 ...
) checks if the aliens have communicated with humans in any of the following approaches: "shapes, patterns, numbers, fibonacci".


Comic strips

* In the February 8, 2009 edition of ''
FoxTrot The foxtrot is a smooth, progressive dance characterized by long, continuous flowing movements across the dance floor. It is danced to big band (usually vocal) music. The dance is similar in its look to waltz, although the rhythm is in a tim ...
'' by
Bill Amend William J. C. Amend III (; born September 20, 1962) is an American cartoonist. He is known for his comic strip ''FoxTrot''. Early life Amend was born in Massachusetts and raised in Northern California. He attended high school in Burlingame, Ca ...
, 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.' * In a strip of ''
Frazz ''Frazz'' is a syndicated comic strip by Jef Mallett about school custodian Edwin "Frazz" Frazier and the school and students where he works. The strip debuted on 2 April 2001, and , appears in over 250 newspapers and is read by tens of thousan ...
'' by
Jef Mallett Jef Mallett (born 1962) is the creator and artist of the nationally syndicated comic strip ''Frazz''. He attended nursing school as well as EMT training before leaving to pursue his artistic interests. He has a longtime interest in bicycling and ...
, 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."


Finance

*
Fibonacci retracement In finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. It is named after the Fibonacci sequence of numbers, whose ratios provide price levels to which markets tend to retrace a portion ...
levels are widely used in
technical analysis In finance, technical analysis is an analysis methodology for analysing and forecasting the direction of prices through the study of past market data, primarily price and volume. Behavioral economics and quantitative analysis use many of the sam ...
for financial market trading.


Human development

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 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."


Literature

* The Fibonacci sequence plays a small part in Dan Brown's bestselling novel (and film) ''
The Da Vinci Code ''The Da Vinci Code'' is a 2003 mystery thriller novel by Dan Brown. It is Brown's second novel to include the character Robert Langdon: the first was his 2000 novel ''Angels & Demons''. ''The Da Vinci Code'' follows symbologist Robert Langdon ...
''. * In
Philip K. Dick Philip Kindred Dick (December 16, 1928March 2, 1982), often referred to by his initials PKD, was an American science fiction writer. He wrote 44 novels and about 121 short stories, most of which appeared in science fiction magazines during his l ...
's novel ''
VALIS ''Valis'' (stylized as ''VALIS'') is a 1981 science fiction novel by American writer Philip K. Dick, intended to be the first book of a three-part series. The title is an acronym for ''Vast Active Living Intelligence System'', Dick's gnostic vis ...
'', the Fibonacci sequence (as well as the Fibonacci constant) are used as identification signs by an organization called the "Friends of God". * In the collection of poetry ''alfabet'' by the Danish poet
Inger Christensen Inger Christensen (16 January 1935 – 2 January 2009) was a Danish poet, novelist, essayist and editor. She is considered the foremost Danish poetic experimentalist of her generation. Life and work Born in the town of Vejle, on the eastern J ...
, the Fibonacci sequence is used to define the number of lines in each poem. * It was briefly included (and recognized by
Charles Wallace Murry Madeleine L'Engle, an American novelist, diarist and poet, produced over twenty novels, beginning with '' The Small Rain'' (1945), and continuing into the 1990s with '' A Live Coal in the Sea'' (1996). Many of her fictional characters appeared in ...
) in the television film adaptation of ''
A Wrinkle in Time ''A Wrinkle in Time'' is a Young adult fiction, young adult science fantasy novel written by American author Madeleine L'Engle. First published in 1962, the book won the Newbery Medal, the Sequoyah Book Award, the Lewis Carroll Shelf Award, and ...
''. * The Fibonacci sequence is frequently referenced in the 2001 book ''The Perfect Spiral'' by Jason S. Hornsby. * A youthful Fibonacci is one of the main characters in the novel ''
Crusade in Jeans ''Crusade in Jeans'' (1973) is a children's novel written by Thea Beckman. It contains a fictional account of the children's crusade of 1212, as witnessed by Rudolf Hefting, a boy from the 20th century. The original Dutch title is ''Kruistocht ...
'' (1973). He was left out of the 2006 movie version, however. * The Fibonacci sequence and golden ratio are briefly described in
John Fowles John Robert Fowles (; 31 March 1926 – 5 November 2005) was an English novelist of international renown, critically positioned between modernism and postmodernism. His work was influenced by Jean-Paul Sartre and Albert Camus, among others. Aft ...
's 1985 novel ''
A Maggot ''A Maggot'' (1985) is a novel by British author John Fowles. It is Fowles' sixth major novel, following ''The Collector, The Magus, The French Lieutenant's Woman, Daniel Martin,'' and '' Mantissa.'' Its title, as the author explains in the ...
'' * The Fibonacci sequence is explored in Emily Gravett's 2009 book ''The Rabbit Problem'' * The Rabbit Problem is also described in Marina Lewycka's book "Various Pets Alive and Dead" * "Ice Station" a novel by Australian writer
Matthew Reilly Matthew John Reilly (born 2 July 1974) is an internationally bestselling Australian action thriller writer.
". Retrieved 10 ...
involves a partially completed access code, the remaining numbers of which can only be found by extrapolating a Fibonacci pattern. * The Fibonacci sequence is used by a serial killer to attract the protagonist Special Agent Pendergast in the Preston/Childs novel ''
Two Graves ''Two Graves'' is a thriller novel by Douglas Preston and Lincoln Child. It was released on December 11, 2012 by Grand Central Publishing. This is the twelfth book in the Special Agent Pendergast series and also the third novel in the Helen trilogy ...
'' (2012). *
Eleanor Catton Eleanor Catton (born 24 September 1985) is a New Zealand novelist and screenwriter. Born in Canada, Catton moved to New Zealand as a child and grew up in Christchurch. She completed a master's degree in creative writing at the International In ...
's novel ''
The Luminaries ''The Luminaries'' is a 2013 novel by Eleanor Catton. Set in New Zealand's South Island in 1866, the novel follows Walter Moody, a prospector who travels to the West Coast settlement of Hokitika to make his fortune on the goldfields. Instead ...
'' (2013), winner of the
2013 Man Booker Prize The 2013 Booker Prize for Fiction was awarded on 15 October 2013 to Eleanor Catton for her novel ''The Luminaries''. A longlist of thirteen titles was announced on 23 July, and these were narrowed down to a shortlist of six titles, announced on 10 S ...
, is structured around an inverse Fibonacci sequence, with each part of the book half the length of the one preceding it.


Music

*Bollywood Lyricist Vayu's son
"Beat pe Booty"
from the movie
A Flying Jatt ''A Flying Jatt'' is a 2016 Indian superhero film co-written and directed by Remo D'Souza and produced under the banner of Balaji Motion Pictures. It features Tiger Shroff, Jacqueline Fernandez and Nathan Jones in the lead roles. ''A Flying Jatt ...
mentions the
Fibonacci Spiral Fibonacci (; also , ; – ), also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo Bigollo Pisano ('Leonardo the Traveller from Pisa'), was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western ...
in the lyrics: :Roll Karti Jaise Barrel :Fibonacci Wala Spiral : hen you twerk, you roll as a barrel. As if tracing out a Fibonacci's Spiral. * Hip hop duo Black Star's song "Astronomy (8th Light)" from the 1998 album ''
Mos Def & Talib Kweli are Black Star ''Mos Def & Talib Kweli Are Black Star'' (often called simply ''Black Star'') is the debut studio album by Black Star, a hip hop duo consisting of emcees Talib Kweli and Mos Def (the latter of whom now goes by Yasiin Bey). The album was released ...
'', features the Fibonacci sequence in the chorus: :Now everybody hop on the one, the sounds of the two :It's the third eye vision, five side dimension :The 8th Light, is gonna shine bright tonight *
Tool A tool is an object that can extend an individual's ability to modify features of the surrounding environment or help them accomplish a particular task. Although many animals use simple tools, only human beings, whose use of stone tools dates ba ...
's song "
Lateralus ''Lateralus'' () is the third studio album by American rock band Tool. It was released on May 15, 2001, through Volcano Entertainment. The album was recorded at Cello Studios in Hollywood and The Hook, Big Empty Space, and The Lodge, in North ...
" 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
time signatures The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value ...
of the chorus change from 9/8 to 8/8 to 7/8; as drummer
Danny Carey Daniel Edwin Carey (born May 10, 1961) is an American musician and songwriter. He is the drummer for the American rock band Tool. He has also contributed to albums by artists such as Zaum, Green Jellö, Pigface, Skinny Puppy, Adrian Belew, Carol ...
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." *
Ernő Lendvai __NOTOC__ Ernő Lendvai (6 February 1925 – 31 January 1993) was one of the first music theorists to write on the appearance of the golden section and Fibonacci series and how these are implemented in Bartók's music. He also formulated the a ...
analyzes
Béla Bartók Béla Viktor János Bartók (; ; 25 March 1881 – 26 September 1945) was a Hungarian composer, pianist, and ethnomusicologist. He is considered one of the most important composers of the 20th century; he and Franz Liszt are regarded as H ...
's works as being based on two opposing systems, that of the
golden ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( ...
and the
acoustic scale In music, the acoustic scale, overtone scale, Lydian dominant scale, Lydian 7 scale, or the Pontikonisian Scale is a seven-note synthetic scale. : This differs from the major scale in having an augmented fourth and a minor seventh scale deg ...
. In the third movement of Bartók's ''
Music for Strings, Percussion and Celesta ''Music for Strings, Percussion and Celesta'', Sz. 106, BB 114 is one of the best-known compositions by the Hungarian composer Béla Bartók. Commissioned by Paul Sacher to celebrate the tenth anniversary of the chamber orchestra '' Basler Kammero ...
'', the opening xylophone passage uses Fibonacci rhythm as such: 1:1:2:3:5:8:5:3:2:1:1.Smith, Peter F. ''The Dynamics of Delight: Architecture and Aesthetics'' (New York: Routledge, 2003) p. 83, * The Fibonacci numbers are also apparent in the organisation of the sections in the music of
Debussy (Achille) Claude Debussy (; 22 August 1862 – 25 March 1918) was a French composer. He is sometimes seen as the first Impressionist composer, although he vigorously rejected the term. He was among the most influential composers of the ...
's ''Image, Reflections in Water'', in which the sequence of keys is marked out by the intervals 34, 21, 13 and 8. * Italian composer and mathematical-physicist Matteo Sommacal wrote in 2002 the eight-movement suite ''Fibonacci's Piranhas'', 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. * Polish composer
Krzysztof Meyer Krzysztof Meyer (born 11 August 1943) is a Polish composer, pianist, and music scholar, formerly Dean of the Department of Music Theory (1972–1975) at the State College of Music (now Academy of Music in Kraków), and president of the Union of P ...
structured the values in his ''Trio for clarinet, cello and piano'' according to the Fibonacci sequence. * Fibonacci's name was adopted by a
Los Angeles Los Angeles ( ; es, Los Ángeles, link=no , ), often referred to by its initials L.A., is the largest city in the state of California and the second most populous city in the United States after New York City, as well as one of the world' ...
-based
art rock Art rock is a subgenre of rock music that generally reflects a challenging or avant-garde approach to rock, or which makes use of modernist, experimental, or unconventional elements. Art rock aspires to elevate rock from entertainment to an art ...
group
The Fibonaccis The Fibonaccis were an American art rock band formed in 1981 in Los Angeles. The band consisted of songwriters John Dentino ( keyboards) and Ron Stringer (guitar), Magie Song (vocals), Joe Berardi (drums) and later Tom Corey (bass). Formation Th ...
, that recorded from 1981 to 1987. * American musician BT 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 ''
Movement in Still Life ''Movement in Still Life'' is the third studio album by American electronica artist BT. It was released in the United Kingdom on October 8, 1999, and a different version released in the United States in 2000. A transition towards hip hop, it ...
'', and is also featured on the second disc of the '' Global Underground 013: Ibiza'' compilation mixed by Sasha. * Voiceover and recording artist
Ken Nordine Ken Nordine (April 13, 1920 – February 16, 2019) was an American voice-over and recording artist, best known for his series of word jazz albums. His deep, resonant voice has also been featured in many commercial advertisements and movie traile ...
described Fibonacci numbers in a word jazz piece called "Fibonacci Numbers" on his album ''A Transparent Mask''. * Australian electronic group
Angelspit Angelspit is an electronic music band originally from Sydney, Australia, Sydney, Australia, and currently based in Chicago, United States. The band was formed in 2004 by vocalists/Synthesizer, synthesists Destroyx (Amelia Tan) and ZooG (Karl Le ...
uses the Fibonnaci 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. * Avant garde composer
Elliott Sharp Elliott Sharp (born March 1, 1951) is an American contemporary classical composer, multi-instrumentalist, and performer. A central figure in the avant-garde and experimental music scene in New York City since the late 1970s, Sharp has released ...
used fibonacci numbers in his compositions.Ambrose, P
Elliott Sharp’s Instrumental Vision
The Morning News, October 4, 2005
*
Fred Frith Jeremy Webster "Fred" Frith (born 17 February 1949) is an English multi-instrumentalist, composer, and improviser. Probably best known for his guitar work, Frith first came to attention as one of the founding members of the English avant-rock ...
composed an instrumental "
Ruins Ruins () are the remains of a civilization's architecture. The term refers to formerly intact structures that have fallen into a state of partial or total disrepair over time due to a variety of factors, such as lack of maintenance, deliberate ...
" for the avant-rock group
Henry Cow Henry Cow were an English experimental rock group, founded at the University of Cambridge in 1968 by multi-instrumentalists Fred Frith and Tim Hodgkinson. Henry Cow's personnel fluctuated over their decade together, but drummer Chris Cutler, b ...
using Fibonacci numbers to establish beat and harmony. * Composer
Dave Soldier David Sulzer (born November 6, 1956) is an American neuroscientist and musician. He is a professor at Columbia University Medical Center in the departments of psychiatry, neurology, and pharmacology. Sulzer's laboratory investigates the interact ...
's opera with
Komar and Melamid Komar and Melamid (pronunciation: ''Kómar and Melamíd'') is a tandem team of Russian-born American conceptualist artists Vitaly Komar (born 1943) and Alexander Melamid (born 1945). In an artists' statement they said that "even if only one of us ...
, Naked Revolution, contains a soprano aria titled "Sing of Nature, Sing of Numbers" with lyrics and music based on the Fibonacci series, sung in character by
Isadora Duncan Angela Isadora Duncan (May 26, 1877 or May 27, 1878 – September 14, 1927) was an American dancer and choreographer, who was a pioneer of modern contemporary dance, who performed to great acclaim throughout Europe and the US. Born and raised in ...
. * American musician
Doctor Steel Rion Vernon, known by his stage name Doctor Steel (full name, Doctor Phineas Waldolf Steel) is an American musician and internet personality from Los Angeles. He performed on rare occasions with a "backup band", claiming that a fictitious robot b ...
in 2001 recorded song "Fibonacci Sequence" (album "People of Earth") * In 2018, shortly before his death, Russian hip hop artist
Detsl Kirill Aleksandrovich Tolmatsky (russian: Кири́лл Алекса́ндрович Толмацкий; 22 July 1983 – 3 February 2019), better known by his stage names Detsl (Russian: Децл) and Le Truk, was a Russian hip hop artist. Bi ...
recorded the song "Fibonacci" (in English)


Visual arts

* Artist
Mario Merz Mario Merz (1 January 1925 – 9 November 2003) was an Italian artist, and husband of Marisa Merz. Life Born in Milan, Merz started drawing during World War II, when he was imprisoned for his activities with the ''Giustizia e Libertà'' antifa ...
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 2m high neon lights, and the representation of the first Fibonacci numbers with red neon lights on one of the four-faced dome of the
Mole Antonelliana The Mole Antonelliana () is a major landmark building in Turin, Italy, named after its architect, Alessandro Antonelli. A ''mole'' in Italian is a building of monumental proportions. Construction began in 1863, soon after Italian unification, an ...
in
Turin Turin ( , Piedmontese language, Piedmontese: ; it, Torino ) is a city and an important business and cultural centre in Northern Italy. It is the capital city of Piedmont and of the Metropolitan City of Turin, and was the first Italian capital ...
, Italy, part of the artistic work Il volo dei Numeri ("Flight of the numbers"). * Fibonacci numbers have also been used in knitting to create aesthetically appealing patterns. * The artist
Martina Schettina Martina Schettina (born 1961) is an Austrian artist. The main part of her work is Mathematical art. Life Martina Schettina was born in 1961 in the district Währing in Vienna. Her father was a mathematician. She spent her childhood in ...
uses Fibonacci numbers in her paintings. Her "Mathemagic paintings" were shown at the Museumsquartier
Vienna en, Viennese , iso_code = AT-9 , registration_plate = W , postal_code_type = Postal code , postal_code = , timezone = CET , utc_offset = +1 , timezone_DST ...
in 2010. * Visual artist
Marisa Ferreira Marisa Ferreira (born 1983) is a Portuguese artist whose work includes both public art and geometric art. Her work is held in several private and public collections in Germany, Spain, Switzerland, France, Portugal, and particularly Norway at the ...
used the Fibonacci numeral sequence to create the geometric shapes of her piec
Rear Window
installed from February to August 2015 on the façade of
Oslo Central Station Oslo Central Station ( no, Oslo sentralstasjon, abbreviated ) is the main railway station in Oslo, and the largest railway station within the entire Norwegian railway system. It connects with Jernbanetorget station. It's the terminus of Dramme ...
, Norway. The artist used the sequence to express the walking pattern and rhythm of footsteps of pedestrian traffic in and out of the station. *
Grace DeGennaro Grace DeGennaro (born 1956) is an American artist. She is best known for watercolors and paintings that explore “ritual, geometry, and growth through repeated forms, serial patterns, and iconic forms like circles and diamonds.” Biography ...
uses the Fibonacci sequence to accumulate the intricate patterns of dots in her paintings "to create a visible record of time." * German artist and architect
Claus Bury Claus (sometimes Clas) is both a given name and a German, Danish, and Dutch surname. Notable people with the name include: Given name *Claus Schenk Graf von Stauffenberg (1907–1944), a German officer who, along with others, attempted to assassi ...
used the Fibonacci numeral sequence in his sculptural projects.


Television

*Fibonacci numbers appear in the
Good Place In most contexts, the concept of good denotes the conduct that should be preferred when posed with a choice between possible actions. Good is generally considered to be the opposite of evil and is of interest in the study of ethics, morality, ph ...
series, first in the main character Eleanor's horoscope on the day she dies and as the area code on the afterlife's neighborhood. *The scientist character Walter Bishop in the television show ''
Fringe Fringe may refer to: Arts * Edinburgh Festival Fringe, the world's largest arts festival, known as "the Fringe" * Adelaide Fringe, the world's second-largest annual arts festival * Fringe theatre, a name for alternative theatre * The Fringe, the ...
'' 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. * ''
Square One Television ''Square One Television'' (sometimes referred to as ''Square One'' or ''Square One TV'') is an American children's television program produced by the Children's Television Workshop (now known as Sesame Workshop) to teach mathematics and abstract ...
''s ''
Mathnet ''Mathnet'' is a segment on the children's television show ''Square One Television'' that follows the adventures of pairs of police mathematicians. It is a pastiche of '' Dragnet''. Premise ''Mathnet'' is a pastiche of '' Dragnet'', in which t ...
'' 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 Fibonacci sequence, with a secret compartment hidden behind the lone misplaced tile. * The ''
Criminal Minds ''Criminal Minds'' is an American police procedural crime drama television series created and produced by Jeff Davis (writer), Jeff Davis. The series premiered on CBS on September 22, 2005, and originally concluded on February 19, 2020; it was r ...
'' episode "Masterpiece" in
season 4 Season 4 may refer to: * "Season 4" (''30 Rock'' episode), an episode of ''30 Rock'' See also * * Season One (disambiguation) Season One may refer to: Albums * ''Season One'' (Suburban Legends album), 2004 * ''Season One'' (All Sons & Daughte ...
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. * Aliens use Fibonacci's sequence in the '' Taken'' episode "God's Equation". * In the Disney Channel TV show ''
So Weird ''So Weird'' is a television series that aired on the Disney Channel as a mid-season replacement from January 18, 1999, to September 28, 2001. The series was shot in Vancouver, British Columbia. In the first two seasons, the series centered on t ...
'', 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. * The Fibonacci sequence is a main plot theme in the 2012 television show ''
Touch In physiology, the somatosensory system is the network of neural structures in the brain and body that produce the perception of touch (haptic perception), as well as temperature (thermoception), body position (proprioception), and pain. It is ...
'', produced by
Fox Network The Fox Broadcasting Company, commonly known simply as Fox and stylized in all caps as FOX, is an American commercial broadcast television network owned by Fox Corporation and headquartered in New York City, with master control operations an ...
and starring
Kiefer Sutherland Kiefer William Sutherland (born 21 December 1966) is a British-Canadian actor and musician. He is best known for his starring role as Jack Bauer in the Fox drama series '' 24'' (2001–2010, 2014), for which he won an Emmy Award, a Golden Glo ...
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. * In the CBS show ''
Numb3rs ''Numbers'' (stylized as ''NUMB3RS'') is an American crime drama television series that was broadcast on CBS from January 23, 2005, to March 12, 2010, for six seasons and 118 episodes. The series was created by Nicolas Falacci and Cheryl Heuton ...
'' episode "Thirteen", a Fibonacci sequence is embedded in a numeric code left behind by a serial killer. * On the TV show, ''
Adventure Time ''Adventure Time'' is an American fantasy animated television series created by Pendleton Ward for Cartoon Network and distributed by Warner Bros. Domestic Television. The series follows the adventures of a boy named Finn (Jeremy Shada) and ...
'', the sequence of 8, 13, 21, is shown on the back of the Enchiridion in certain episodes. *On the ''
Cartoon Network Cartoon Network (often abbreviated as CN) is an American cable television channel owned by Warner Bros. Discovery. It is a part of The Cartoon Network, Inc., a division that also has the broadcasting and production activities of Boomerang, Car ...
'' special ''
The Powerpuff Girls ''The Powerpuff Girls'' is an American superhero animated television series created by animator Craig McCracken and produced by Hanna-Barbera (later Cartoon Network Studios) for Cartoon Network and distributed by Warner Bros. Domestic Televi ...
: Dance Pantsed'', one of the kidnapping victims is named Fibonacci Sequins (voiced by
Ringo Starr Sir Richard Starkey (born 7 July 1940), known professionally as Ringo Starr, is an English musician, singer, songwriter and actor who achieved international fame as the drummer for the Beatles. Starr occasionally sang lead vocals with the ...
). * In the Japanese
anime is Traditional animation, hand-drawn and computer animation, computer-generated animation originating from Japan. Outside of Japan and in English, ''anime'' refers specifically to animation produced in Japan. However, in Japan and in Japane ...
''Aguu: Tensai Ningyou'', a Fibonacci sequence is rapidly fired back-and-forth in a battle of wits between two archenemies (Episode 11).


References


External links

* ** Also published as
Math for Poets and Drummers
– Rachael Hall surveys rhythm and Fibonacci numbers and also the Hemachandra connection.
Saint Joseph's University Saint Joseph's University (SJU or St. Joe's) is a private Jesuit university in Philadelphia and Lower Merion, Pennsylvania. The university was founded by the Society of Jesus in 1851 as Saint Joseph's College. Saint Joseph's is the seventh olde ...
, 2005. * Rachel Hall,
Hemachandra's application to Sanskrit poetry
', (undated; 2005 or earlier). *

', which lists a number of academic sources. {{Fibonacci Fibonacci numbers Mathematics-related topics in popular culture