The Modern Geometry of the Triangle Revisited

Members of my senior mathematics course produced the following article. The course was an attempt by the class to make sense of an e-mail conversation that took place between Steve Sigur, a mathematics teacher at the Paideia school in Atlanta Georgia, and John Conway, the world renowned geometer at Princeton.

The conversation was held in the geometry research discussion group at the Math Forum. The class had done work in computer graphics the preceding term and was interested in doing some work in a related field. As we searched for interesting areas, we came across the Sigur-Conway dialogue.

It should be noted that Steve is putting together a set of notes on the Modern Geometry of the Triangle and he was consulting John Conway, hence their conversation. We had access to some of these notes and the following are the attempt at making sense of them. This was truly a course born of the Internet.