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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.