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:

Solutions