GAUSS (Graduate and Undergraduate Students Seminar)
Upcoming Seminars for Fall Semester
Unless otherwise noted, the Fall Semester GAUSS talks will be on Fridays at 4:00PM in S2 308.October 24, 2014; 4:00PM in S2 308: Samuel Macneil (Fresno State student)
Title: How to Guard a Museum
Abstract: Suppose the manager of a museum wants to make sure that at all times every point of the museum is watched by a guard. The guards are stationed at fixed posts, but they are able to turn around. How many guards are needed? The art gallery theorem gives us a maximum number of guards required for an n-walled convex polygon.
In this talk, we will go over the proof of this theorem as detailed in Proofs from The Book, by Aigner and Ziegler, as well as some variants of the art gallery problem.
October 24, 2014; 4:30PM in S2 308: Kelsey Friesen, Simerjit Kaur, and Thoa Tran (Fresno State students)
Title: Exploring the Fibonacci Numbers
Abstract: The Fibonacci numbers can be used to model or describe a variety of phenomena in mathematics, art, and nature, even the human body! In this talk, we will go over some history of the Fibonacci numbers and where in the real world they pop up. As funny as it sounds, we’ll start off by discussing how Leonardo of Pisa (who nicknamed himself Fibonacci) related these numbers to the reproduction of rabbits . Another application of the numbers is to use them to create beautiful equiangular spirals. We will wrap up exploring the Fibonacci numbers by investigating how they are related to the “golden ratio”, the ratio deemed most aesthetically pleasing to the human eye when used in architecture and art.
If you need a disability-related accommodation or wheelchair access information, please contact the Mathematics Department at 559.278.2992 or e-mail firstname.lastname@example.org. Requests should be made at least one week in advance of the event.