Date
Spring 4-2015
Document Type
Poster Session
Department
Mathematics and Statistics
Advisor
Laurie Woodman
Keywords
mathematics, Klein Bottle, Thinking Matters
Abstract
A Klein Bottle is a two-dimensional manifold in mathematics that, despite appearing like an ordinary bottle, is actually completely closed and completely open at the same time. The Klein Bottle, which can be represented in three dimensions with self-intersection, is a four dimensional object with no intersection of material. In this presentation we illustrate some topological properties of the Klein Bottle, use the Möbius Strip to help demonstrate the construction of the Klein Bottle, and use mathematical properties to show that the Klein Bottle intersection that appears in ℝ3 does not exist in ℝ4. Introduction: Topology
Start Date
April 2015
Recommended Citation
Pogg, Andrew; Daigle, Jennifer; and Brown, Deirdra, "Inside Out: Properties of the Klein Bottle" (2015). Thinking Matters Symposium Archive. 52.
https://digitalcommons.usm.maine.edu/thinking_matters/52
