Kac-Moody Algebras are an extension of groups of symmetries. This activity takes the simple group of symmetries of an equilateral triangle and relates the geometry to some of the axioms high school students commonly study.
Before the Activity
Download the attached PDF and look over the Teacher Page.
During the Activity
Discuss the materials from the Student Page with your class.
After the Activity
Encourage students to explore Web sites and questions from the Extensions Page.