Friday, April 8, 2011

Fibonacci Sequence in Lateralus

Via Ritholtz:
Whether you are an investment trader, a music fan, a mathematician, a curious observer wishing to learn more about human nature, or any combination thereof, you will appreciate this lesson on the Fibonacci Sequence (more on this after the YouTube link):
The video, created by a college student to help explain the Fibonacci sequence, features images of space from the Hubble Telescope and music from the cerebral and progressive hard rock band Tool.  What makes the video and song incredibly compelling is the lyrics, which teach a lesson on pattern recognition.
For those non-traders and non-mathematicians out there, a Fibonacci sequence is a series of numbers where, after two starting values, each number is the sum of the two preceding numbers.  For example, the number sequence 2, 3, 5, 8 and 13 are a Fibonacci sequence (2+3=5, 3+5=8, 5+8=13, and so on).
Making the video and song more interesting is that the cadence of the lyrics (number of syllables of succeeding verses) follows a Fibonacci sequence.  What’s more, the meaning and lesson of the lyrics implies that humans are hopelessly addicted to looking for patterns everywhere they turn:  The “over-thinking” and “over-analyzing,” as the lyrics suggest, have an effect of dulling intuitive thought and often results in missed opportunities.
There is more in the post about pattern recognition, pro and con.  Here's the video:

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