The Angel Problem, first introduced in 1982, is a two-player combinatorial game played on an infinite playing field. These two players, named the angel and the devil, move around the playing field, with the devil trying to trap the angel and the angel evading capture. The problem of capturing the angel on the playing field resulted in many variants of the original game that attempt to solve this problem. In the spirit of these variants, this research focuses on a new type of angel and devil, named the duck and fox, respectively, both limited by a finite playing field, and attempts to answer to the question: what is the smallest finite area in which the fox can trap the duck?
Tristan, Amelia, "Winning Against the Devil: A New Look into the Angel Problem" (2021). St. Mary's University Honors Theses and Projects. 11.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.