Day 05 in Mat115

Today:

• Note: project assignments and deadlines have been added to the assignments page.

• Collect problems 1.4.

• Questions/Comments on old stuff?
  • Estimates of cars backed up...
  • Estimates of balls in the room...

• Section 2.2: Fibonacci Numbers, and Numerical Patterns in Nature:
  • 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, -- what's next?

  • I.1: bunnies and Leonardo Pisano Fibonacci

  • What kind of food and/or other Fibonacci items do we have today?

  • Fibonacci Numbers and Nature
    • artichokes
    • pineapples
    • pine cones
    • dandelions (Here's a scanned dandelion)
    • Spirals in daisies:
      • 21 spirals
      • 34 spirals
      • together

  • Fibonacci number decomposition and Fibonacci Nim

  • Ratios of Fibonacci numbers and the golden mean