- You have a homework assignment due today.
- I'll be posting another assignment later today...
- Reminder: our next exam is Monday, 11/21
- Question of the day: What if you cut a Mobius band in thirds?
- Mobius bands: the Band that keeps on playing.
- Mobius bands are a part of geometry, but relate to a special area
called "topology".
Riddle: What's the difference between a donut and a coffee cup?
Answer: There isn't any! (to a topologist....)
- Mobius bands also relate back to knots, as we will see next time.
- What is a Mobius band?
- Let's make some!
- How do we know that the mobius band is not "topologically equivalent" to a regular band?
- What happens when you cut a mobius band "in
half"? Let's check out a bug on a band....
- By the way, did you know that there are two different
Mobius bands? They're mirror images of each other! (Symmetry, again....)
- Check yours against someone else's, and convince yourself that they're really different.
- Make one of each!
- What if you cut it into "thirds"?
- Properties of a mobius band:
- A mobius band has only one side.
- A mobius band has only one edge.
- A mobius band is made from a regular band using only a single twist.
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My dad loved mobius bands so much....
- Applications of Mobius bands:
- Conveyor belts
- Kazakhstan's National Library in Astana
- Recycling Topology
- a history of the recycling symbol
- Recycling -- Mobius, or only Seemingly Mobius?
- A joke: "Why did the chicken cross the Mobius band?"
- How does the Mobius band relate to knots and links?
- Mobius bands are a part of geometry, but relate to a special area
called "topology".
