The Settlers of “Catanbinatorics”
Jathan W. Austin, Brian G. Kronenthal, Susanna Molitoris Miller · Mathematics Magazine · 2019
Summary.Catan is a dynamic property-building and trading board game in which players build a new board every time they play by arranging tiles, number tokens, and port markers. In this paper, we count the number of possible boards, consider different ways of counting the number tokens based on probability, and count the number of non-equivalent tile arrangements in two ways: one using a direct approach, the other taking advantage of more elegant techniques from abstract algebra.