Day 10 in Mat115

Today:

• Announcements:
  • Let's talk about a few things on the homework I'm handing back....

  • Hand in your next homework assignment, and we'll discuss the solutions now.
    • Some of you just emailed me the link to the spiral code -- not the spiral itself!
    • Please paste the image directly into your email, not a link....
    1. Find the prime factorization of the following:
       • 1763 (square root: 42.107....)
       • 30030
       • 997 (square root: 31.575....)
    2. What is the golden ratio? How does it relate to the Fibonacci numbers?
    3. Draw a really beautiful Fibonacci spiral, using graph paper and colors. You can make your own graph paper at this site.
    4. Describe how the Fibonacci spiral relates to the golden mean.
    5. Visit this website and generate an image in a Fibonacci spiral: web interface. Email me a copy of your final spiral image!

  • Remember: we have an exam coming up next class, on Tue, 9/28.
    • Exam 1 Study Guide
    • Don't forget to do all assigned reading....
    • Your questions?

• Golden rectangles
  • A look at your spiral gallery...

  • In the grid: given a 10x10 grid, what's the best rectangle approximating a golden rectangle?

• Would it be possible to have golden triangles? How would such a thing be designed?