Document Type
Conference Proceeding
Publication Date
6-2-2022
Abstract
The taxicab metric measures distance in the way that one does by walking north/south and east/west on city blocks. Taxicab geometry is typically presented as an example of a nonEuclidean geometry with an interesting metric in introductory courses in geometry and topology. Much is known about taxicab geometry, beginning with the astonishing fact that taxicab circles are squares. In this talk, we define and classify taxicab ellipses. Furthermore, we give formulas for both the circumference and area of taxicab ellipses. The derivations of these formulas do not require mathematical knowledge beyond Precalculus, so this research project illustrates the accessibility of taxicab geometry to beginning researchers.
Recommended Citation
Zoller, Nicholas, "Ellipses in Taxicab Geometry" (2022). ACMS Conference Proceedings 2022. 14.
https://pillars.taylor.edu/acms-2022/14