The general behavior of combinatorial scoring games is not well-understood. In this paper,
we focus on a special class of “well-tempered” scoring games. By analogy with Grossman …

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An
Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a …

Motivated by rcent work by A. Shimizu on a newly discovered unknotting operation and
inspired by previous work on knot games, we introduce the Region Unknotting Game. We …

We introduce a topological combinatorial game called the Link Smoothing Game. The game
is played on the shadow of a link diagram and legal moves consist of smoothing …

Welcome to The Mathematical Playground, a book celebrating more than thirty years of the
problems column in the MAA undergraduate magazine, Math Horizons. Anecdotes …

Combinatorial two-player games have recently been applied to knot theory. Examples of this
include the knotting-unknotting game and the region unknotting game, both of which are …

Who doesn't like games? And when games can involve interesting, visual, mathematical
objects like knot diagrams, all the better! In this paper, we propose a new 2-player game on …

Recently, several new games have been introduced that can be played on knot and link
diagrams. One of the first such games, played on knot diagrams, is called the Knotting …

We explore free knot diagrams, which are projections of knots into the plane which don't
record over/under data at crossings. We consider the combinatorial question of which free …

In this paper, we study the KnotLink Game, a two-player game that can be played on the
shadow of a knot or link diagram. This game was introduced by Adams, Henrich, and Stoll …