The Player's and Goalie's Perspectives on Scoring Angles in Ice Hockey

Our goal will be to understand the differences between a goalie's perspective and a player's perspective on scoring angles and geometry in the game of ice hockey.  This will be proven through concrete examples and research done on the game of hockey as a whole and through personal experience.  Three main theorems in computational geometry, namely, the Two Ears Theorem, a theorem stating that any simple polygon can be triangulated, and Chvátal's Theorem will be used in the analysis of scoring opportunities from a player's perspective.