An Exploration of Taxicab Geometry through Conic Sections

Title

An Exploration of Taxicab Geometry through Conic Sections

Authors

Presenter(s)

Hayley Elizabeth Carroll

Comments

Presentation: 10:45 a.m.-12:00 p.m., Kennedy Union Ballroom

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

An Exploration of Taxicab Geometry through Conic Sections

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