Dots-and-Polygons
History and Overview
2020-12-21 v1
Abstract
Dots-and-Boxes is a popular children's game whose winning strategies have been studied by Berlekamp, Conway, Guy, and others. In this article we consider two variations, Dots-and-Triangles and Dots-and-Polygons, both of which utilize the same lattice game board structure as Dots-and-Boxes. The nature of these variations along with this lattice structure lends itself to applying Pick's theorem to calculate claimed area. Several strategies similar to those studied in Dots-and-Boxes are used to analyze these new variations.
Keywords
Cite
@article{arxiv.2012.09971,
title = {Dots-and-Polygons},
author = {Jessica Dickson and Rachel Perrier},
journal= {arXiv preprint arXiv:2012.09971},
year = {2020}
}
Comments
19 pages, 19 figures