Rubber sheet geometry problems
Tell whether 3-D objects are equivalent
1. Do # 26, 27, 28 on page 342
Draw movies showing how 2D or 3D objects are equivalent
See previous problem and
2. Draw movie pictures to show how these are equivalent by distortion:
Moebius Strips:
3. Explain how this diagram of a Moebius strip shows that a completed Moebius strip will have only one edge.
4. Explain how this diagram of a Moebius strip shows that if you cut a Moebius strip down the center (dotted line), you will only get 1 piece.
5. Explain what it means to say that the Moebius strip is non-orientable.
6. Tell how many edges each Moebius thingy has. Show how you know: