Day 09 in Mat115

Today:

• Announcements:
  • Hand in your next homework assignment.

  • Remember: we have an exam coming up next week, on Tue, 9/28.

  • There is a homework due on Thursday: make sure that you're keeping up by checking the schedule. It will help prepare you for the exam.

  • So will the Exam 1 Study Guide.

• Fibonacci Numbers, and Numerical Patterns in Nature:
  • Let's start with a Rectangle Beauty Contest

  • As we move toward the so-called "golden mean" and "golden rectangle", we'll start with a nice logarithmic spiral (see this site)

  • The golden mean: ratios of Fibonacci numbers

  • The Golden Rectangle: "The Sexiest Rectangle" - or is it just cute?
    • Important property: if you cut out the largest square possible, you still have a golden rectangle! There's a "world within a world" in the golden rectange....

    • What sizes do U.S. flags come in?

    • More golden rectangle "applications"

    • How might you use the golden rectangle to make life more interesting?