Day 34: Heart of Mathematics

• Last time: The band played on. The Klein bottle - a mirror pair of Moebius bands glued together.

• Today: Section 5.3:
  • Due Today: Problem Assignment #4 (problem solutions for 5.1 )

  • Reminders:
    • Problem Assignment #5: hand in any future problem set on the day we are to discuss it.

    • Project Assignment:

      1. by Friday: schedule a time to meet with me to discuss your project.
      2. November 22: your paper is due . That will give me one day (the 25th) to get some feedback to you. You will also get your poster boards this day.

  • Random drawing (then counting): how many
    • crossings (draw dots where these occur, as well as start and finish points)
    • edges (or arcs, connecting dots)
    • regions (including the "outside" region)

  • The Euler Characteristic

  • Q: What does this have to do with the Platonic Solids?
    A: There are only five!

  • Problems for the section:
    • I.2, 4, 8
    • II.1
    • III.5

• Next time: Fractals!

Links:

• What do viruses look like?
• Some theory of virus shapes
• More theory