Mentor/s
Dr. Andrew Lazowski
Participation Type
Paper Talk
Abstract
Hyperbolic geometry is a type of non-Euclidean geometry that contradicts the fifth axiom of Euclid’s Elements. We will discuss why this axiom was controversial and how hyperbolic space differs from Euclidean space in terms of shadows. The speed of how fast a person walks in terms of their shadow can be calculated using similar triangles or solved as a linear function in Euclidean space. For this type of problem, how fast the shadow is moving in Euclidean space yields a finite number. However, in hyperbolic space, the solution may not be finite.
College and Major available
Mathematics
Location
Session 3: Digital Commons & Martire Room 350
Start Day/Time
4-26-2023 2:00 PM
End Day/Time
4-26-2023 3:15 PM
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.
Discovering Shadows in Hyperbolic Space
Session 3: Digital Commons & Martire Room 350
Hyperbolic geometry is a type of non-Euclidean geometry that contradicts the fifth axiom of Euclid’s Elements. We will discuss why this axiom was controversial and how hyperbolic space differs from Euclidean space in terms of shadows. The speed of how fast a person walks in terms of their shadow can be calculated using similar triangles or solved as a linear function in Euclidean space. For this type of problem, how fast the shadow is moving in Euclidean space yields a finite number. However, in hyperbolic space, the solution may not be finite.
Students' Information
Lauren Vowinkel, Mathematics, 2023
Honorable Mention Writing Across the Curriculum 2023 Award