Washington State
University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
Meet at Zoom
March 22, Monday, 4:10 - 5:00 PM
Rachel Perrier
Department of Mathematics and Statistics
Washington State University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
Meet at Zoom
March 22, Monday, 4:10 - 5:00 PM
Rachel Perrier
Department of Mathematics and Statistics
Washington State University
Title: Dots-and-Polygons
Abstract: Dots-and-Boxes is a popular children's game whose winning strategies have been studied by Berlekamp, Conway, Guy, and others. The lattice structure of the game board of Dots-and-Boxes can be extended to two variations where players are concerned with claiming the majority of the area. Calculating the area can be done via Pick's theorem in these two variations, Dots-and-Triangles and Dots-and-Polygons. We will then analyze these games with some strategies similar to those studied in Dots-and-Boxes. This is joint work with Jessica Dickson.
Abstract: Dots-and-Boxes is a popular children's game whose winning strategies have been studied by Berlekamp, Conway, Guy, and others. The lattice structure of the game board of Dots-and-Boxes can be extended to two variations where players are concerned with claiming the majority of the area. Calculating the area can be done via Pick's theorem in these two variations, Dots-and-Triangles and Dots-and-Polygons. We will then analyze these games with some strategies similar to those studied in Dots-and-Boxes. This is joint work with Jessica Dickson.