Euclidean and Non Euclidean Geometry

Due date: April 3rd

Chapter 14: Map Projections

We’re going to do something a little different this week.

First watch this video on tiling the plane. What shapes can be used to tile a flat surface?

https://www.youtube.com/watch?v=4gdfs89hSxg

Next, watch this video on tiling a sphere. What shapes can be used to tile the sphere? How are polygons different on the sphere than they are on the plane?

https://www.youtube.com/watch?v=9E23Dt9RrDI

Now take an orange. Draw some continents on it. Now peel the orange and try to lay the peel flat. What happened?

Finally watch this video. How does this video relate to what we’ve done so far?

https://www.youtube.com/watch?v=nJ5r4HJMrfo

For your write-up this week, you should answer all the questions in this document. Also be sure to include a picture of your orange peel.

Problem 15.1 b

Problem 17.4 a

Problem 18.1

For Problem 18.1, Professor did not specify which number to work out. I have emailed professor, regarding 18.1 problem. You can start working on the rest problems. Will update the as soon as I get reply.

Thank you