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, often presented in conjunction with the golden ratio, are a popular theme in culture.
List of best movies incorporates this concept.
The Phantom Tollbooth (1970
Pi (1998
The Da Vinci Code (2006
Mr. Magorium's Wonder Emporium (2007
L: Change the World (2008
21 (2008
Nymphomaniac (2013
Arrival (2016
In Detail
In The Phantom Tollbooth (1970), Milo (Butch Patrick) 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 and golden spiral, the Fibonacci sequence is mentioned in Darren Aronofsky's independent film Pi (1998). They are used to find the name of God.
In The Da Vinci Code (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).
In Mr. Magorium's Wonder Emporium (2007), Magorium hires accountant Henry Weston (Jason Bateman) after an interview in which he demonstrates knowledge of Fibonacci numbers.
In L: Change the World (2008), Near 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 (2013), 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 thrusts that are Fibonacci numbers.
In Arrival (2016), character Ian Donnelly (Jeremy Renner) checks if the aliens have communicated with humans in any of the following approaches: "shapes, patterns, numbers, fibonacci".
