group theory
Posts tagged "group theory"
2 posts
Decorating Christmas Trees with Group Theory
Applying Burnside's lemma and Polya's enumeration theorem to quantify the number of patterns I can choose to arrange the baubles on my Christmas tree.
Solving Terni Lapilli: A 2000-Year-Old Game
I investigate how it's possible to apply optimisation techniques and group theory to the ancient game of Terni Lapilli. Terni Lapilli is a version of tic-tac-toe, and like tic-tac-toe it's possible to model optimal decision making. I used this analysis to explore various areas of mathematics I hadn't encountered yet, like group theory.