Mathematics and Statistics
Washington State University
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.