- Your exams are returned.
- You have a new reading assignment -- chapter 27: Twist and Shout -- for next time.
Today we're going to be starting a unit on bands, links, and knots. This is all very visual stuff. I hope that you'll like it! Let's take a look at Mobius bands: the Band that keeps on playing.
Question of the day:
- Mobius bands are a part of geometry, but relate to a special area
called "topology" -- the study of form and shape.
The Topologist's favorite riddle: What's the difference between a donut and a coffee cup?
Answer: There isn't any! (to a topologist....)
- What is a Mobius band?
- Let's make some!
- A mobius band is made from a regular band using only a single twist.
- 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!
- Properties of a mobius band:
- A mobius band has only one side.
- A mobius band has only one edge.
- Cutting a band:
- What happens when you cut a mobius band "in half"? Check out a bug on a band....
- What if you cut it into "thirds"?
- Applications of Mobius bands:
- Conveyor belts
- Kazakhstan's National Library in Astana
- Recycling Topology
- The official recycling symbol is mobius, but over
time an alternative has crept in:
- Mobius, or only Seemingly Mobius?
- My dad loved mobius bands so much....
- a history of the recycling symbol (and an AARP article on the history of the creation of the recycling symbol).
- The official recycling symbol is mobius, but over
time an alternative has crept in:
- A joke: "Why did the chicken cross the Mobius band?"
- Our next topic is links and knots. How does the Mobius band relate to these?
- Draw the edge of a Mobius band. (Maybe we can get a good artist to do it!)
- Draw the edge of a twice-twisted Mobius band.
- Draw the edge of a thrice-twisted Mobius band.
