Event Title
Document Type
Union College Only
Faculty Sponsor
Ellen Gasparovic
Department
Mathematics
Start Date
21-5-2021 1:00 PM
Description
In "Exploring the Art Gallery Theorem and Variations," I dive into a whole field of mathematics that stems from Victor Klee's 1973 question: how many guards are needed to protect a polygonal art gallery withnwalls? I both state and prove the Art Gallery Theorem following Steven Fisk's method, which includes the Three-Color Theorem and the Triangulation Theorem. I then discuss the variants of this method, such as the constrained case, the orthogonal constrained case, and galleries with holes, and many more.
Exploring The Art Gallery Theorem and Variations
In "Exploring the Art Gallery Theorem and Variations," I dive into a whole field of mathematics that stems from Victor Klee's 1973 question: how many guards are needed to protect a polygonal art gallery withnwalls? I both state and prove the Art Gallery Theorem following Steven Fisk's method, which includes the Three-Color Theorem and the Triangulation Theorem. I then discuss the variants of this method, such as the constrained case, the orthogonal constrained case, and galleries with holes, and many more.