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GEOMETRY AND TOPOLOGY I.


X, Y, AND WHAT AXIS?


1. If there were an z axis, what do you think it would measure?



CONTINUOUS AND CONNECTED?


2. Continuous lines or curves are ones that have no brakes between points on the line or curve. If the Ninja did not have continuity to its track, what would happen?



3. If you look around the sides of the park, you will notice that the park has fences surrounding it on all sides. If the whole surface of the park were set on a geometric plane, what would the fences be called in a geometric sense?

"The fences are the __________(s) of the park."
Are there regions of the park not open to the public?


If your answer to the last question is yes, can you find several regions that are not connected? Use a map with labels and colors when you write your answer.



N-GONS???


4. The Pentagon is a building in Washington, D.C. that has five sides to it. A stop sign is an octagon because it has eight sides. By counting the sides of an object you can see what size n-gon it is, that is, how many sides it has. Using careful observation, how many sides does the Colussus wheel have? (You may have noticed that the outside of the Ferris wheel is round. Simply, use the n-gon just inside of that to count sides.




Copyright © 1994 © 1996 with all rights reserved by William V. Thayer, Mathematics Department, St. Louis Community College at Meramec, 11333 Big Bend Blvd., St. Louis, MO 63122-5977, Telephone: 314 984 7866, Email: thayer@stl-online.net


Copyright of all Six Flags' rides and building names herein belong to Six Flags(R) Theme Park