LAMC Meetings • 2019-2020 Academic Year

We will study the symmetries of frieze patterns, especially those of unimodular frieze patterns. We work toward an interesting result proved by Conway and Coxeter about polygonal structures in frieze patterns.

We continue our study of the symmetries of unimodular frieze patterns with some challenge problems. We introduce the result proved by Conway and Coxeter connecting polygonal triangulations to frieze patterns.

We work in groups to write rigorous proofs of statements from number theory, graph theory, combinatorics, set theory and other topics.

We work in groups to write rigorous proofs of statements from number theory, graph theory, combinatorics, set theory and other topics.

We work on Olympiad style problems about Combinatorics, Number Theory, Probability, Geometry, and basic Set and Function Theory.

We do further Olympiad style problems about Combinatorics, Number Theory, Probability, Geometry, and basic Set and Function Theory.

We motivate the study of metrics by introducing the taxicab metric (the distance traveled by a taxi in a city with a grid layout). How would you define a circle, line segment between points, or a parabola with a new notion of distance?

Using the taxicab metric as a guide, we define the general notion of metric and give numerous examples.