An Exploration of Taxicab Geometry through Conic Sections
Presenter(s)
Hayley Elizabeth Carroll
Files
Description
How do you get from point A to point B? Most would say to draw a straight line from one point to the other, or the distance as the crow flies, which is the Euclidean ideology. However, if you are discussing how to get from point A to point B in New York City, we need to consider the route using roads and walkways which run vertically and horizontally. This idea uses a special kind of geometry called 'Taxicab Geometry'. This project will compare Euclidean and Taxicab geometries, discuss conic sections formed using Taxicab, and provide answers to questions such as where to live so that you have the shortest walking distance to work in your city.
Publication Date
4-20-2022
Project Designation
Capstone Project
Primary Advisor
Rebecca J. Krakowski
Primary Advisor's Department
Mathematics
Keywords
Stander Symposium project, College of Arts and Sciences
United Nations Sustainable Development Goals
Sustainable Cities and Communities; Quality Education
Recommended Citation
"An Exploration of Taxicab Geometry through Conic Sections" (2022). Stander Symposium Projects. 2528.
https://ecommons.udayton.edu/stander_posters/2528
Comments
Presentation: 10:45 a.m.-12:00 p.m., Kennedy Union Ballroom