The **Fibonacci numbers** are a sequence of integers, 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, and in conjunction the golden ratio, 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.

## Contents

## Finance

## Architecture

## Cinema

*21*, 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.

*Pi*(1998). They are used to find the name of God.

*The Da Vinci Code*, 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).

*Mr. Magorium's Wonder Emporium*(2007), Magorium hires accountant Henry Weston (Jason Bateman) after an interview in which he demonstrates knowledge of Fibonacci numbers.

*Death Note: L, Change the World*(2008), genius boy Near is seen arranging sugar cubes in a Fibonacci sequence.

*Nymphomaniac*, the character Seligman (Stellan Skarsgård) notes that when Joe (Charlotte Gainsbourg) loses her virginity, the boy who deflowers her does so in a sequence of pumps that are Fibonacci numbers.

## Comic strips

*FoxTrot*by Bill Amend, 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.'

*Frazz*by Jef Mallett, 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."

## 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 Da Vinci Code*.

*VALIS*, the Fibonacci sequence (as well as the Fibonacci constant) are used as identification signs by an organization called the "Friends of God".

*alfabet*by the Danish poet Inger Christensen, the Fibonacci sequence is used to define the number of lines in each poem.

*A Wrinkle in Time*.

*The Perfect Spiral*by Jason S. Hornsby.

*Crusade in Jeans*(1973). He was left out of the 2006 movie version, however.

*A Maggot*

*The Rabbit Problem*

*Two Graves*(2012).

*The Luminaries*(2013), winner of the 2013 Man Booker Prize, is structured around an inverse Fibonacci sequence, with each part of the book half the length of the one preceding it.

## Music

*Mos Def & Talib Kweli are Black Star*, features the Fibonacci sequence in the chorus:

*Music for Strings, Percussion and Celesta*, the opening xylophone passage uses Fibonacci rhythm as such: 1:1:2:3:5:8:5:3:2:1:1.

*Image, Reflections in Water*, in which the sequence of keys is marked out by the intervals 34, 21, 13 and 8.

*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.

*Trio for clarinet, cello and piano*according to the Fibonacci sequence.

*Movement in Still Life*, and is also featured on the second disc of the

*Global Underground 013: Ibiza*compilation mixed by Sasha.

*A Transparent Mask*.

*People of Earth*.

## Visual arts

## Television

*Fringe*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*'s

*Mathnet*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 case; tiles in a garden wall are found to follow the Fibonacci sequence, with a secret compartment hidden behind the lone misplaced tile.

*Criminal Minds*episode "Masterpiece" in season 4 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.

*Taken*episode "God's Equation".

*So Weird*, 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.

*Touch*, produced by Fox Network and starring Kiefer Sutherland 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.

*Numb3rs*episode "Thirteen", a Fibonacci sequence is embedded in a numeric code left behind by a serial killer.

*Adventure Time*, the sequence of 8, 13, 21, is shown on the back of the Enchiridion in certain episodes.

*Cartoon Network*special

*The Powerpuff Girls: Dance Pantsed*, one of the kidnapping victims is named Fibonacci Sequins (voiced by Ringo Starr).