Day 08: Heart of Mathematics

Last time: Fibonacci numbers.
Our mission today: Continue to discuss section 2.2, Fibonacci numbers, but looking at various quantities constructed from the Fibonacci numbers. But first, some
- Fun with Fibonacci numbers. I did a Fibonacci search of Google, using both music and dance.
  - Fibonacci Music?
  - Sasha Fibonacci Sequence (much cooler Fibonacci music...)
  - Fibonacci Sequence as God's Equation? - the video by Spielberg
  - Fibonacci at the Square Dance (a quilt)
  - Robert Elam, Professor of Music at Rhode Island College, has written "Homage to Fibonacci for Wind Ensemble"
  - Fibonacci Goddesses?
  - The Fibonacci Sequence, "now well established as one of the foremost chamber ensembles in Britain".
  - A fairly complex mathematical model for "Fibonacci Phyllotaxis" - Fibonacci spirals.
- Fibonacci Numbers and Nature:
  - A nice quote: "The story of Fibonacci numbers is a story of pattern." P. 56.
  - Spirals
- I.10 - what's the mystery?
- The Golden Ratio (using the "Fibonacci Formula" and algebra)
- II.4: Digging up Fibonacci roots
- II.5: Tribonacci
- Creating natural numbers as sums of Fibonacci numbers (in preparation for Fibonacci Nim): try I.11
Next time: We'll play Fibonacci Nim!

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