APGeTop2

(0,0,580)

GEOMETRY AND TOPOLOGY II.

You need to label index numbers on X and Y axis first in pencil. You may want to get HIGHLIGHTERS for this map work.

Before you go to OLAP, make it a project to shade in the map to become familiar with certain locations.

1. Find the x and y axis, shade in their lines with yellow.

2. Shade in the pathways of the park with a blue highlighter. Look at the overhead railroad bridges around the Palace to get started.

3. Shade in the grassy areas light green.

4. Shade in all the ride tracks and rails with red.

5. Locate all the water rides in the park, then shade them in with a dark blue.

6. Shade in the Screaming Eagle and the Ninja with red. Just checking on # 4.

7. Shade in the theater areas and show areas with light brown.

When you have finished shading in the areas above, make a color map key in the bottom left corner of the map. You probably used independent thinking to choose your own colors, so make your own color map key!!

Map color problem. What is the least number of colors needed to shade a map so that different regions do not have the same color along a common border?

You might be surprised to know that the answer to this question was known to map makers a long time, but was not proven by mathematicians until a few years ago. A computer program was an aid in part of the proof!

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