Tyler Roell presentation on Taxicab Geometry given at Franklin College High School Math Day, November 2009. Culmination of his MAT 490 (Individualized Study) project with Prof. Robert Talbert.

1. Taxicab Geometry A Study Into Non-Euclidean GeometryUsing Geometer Sketchpad Tyler Roell Studied under Dr. R. Talbert Franklin College Math Day November 21, 2009

3. Teacher of Einstein

4. Also known as Manhattan Distance

7. De=

8. Crows Fly Vs. Urban GeographyDt=|3-1|+|1-4|=5

9. Redistricting Problem Say you have three schools, K,N, and M. Using the Taxicab Distance, where should the school districts be drawn to keep all the districts the same size in area?

15. What figures should be used?

16. Construct circles with the same radius

17. Construct the bisector between K and N

18. Bisector between N and M

19. Bisector between K and M

20. The Solution

23. Book Used Eugene F. Krause Taxicab Geometry: An Adventure in Non-Euclidean Geometry