In-person Math Counts July 2025 - Groups and their graphs

Continuing our exploration of abstract Group Theory. I hope to finally explore the action of the symmetric group on 3 elements on an equilateral triangle, and its graphic representation as a Cayley Graph.

I will also do a quick recap of my "improv" or "desert island" approach to exploring mathematics. This is a work in progress, and an experiment. I am working towards a thesis that mathematics is a self-correcting code, where partially remembered or even mis-remembered axioms, definitions and theorems will converge to something equivalent to the "standard" accepted axioms, definitions, and theorems.

Note that this on Sunday, July 8th. All my Saturdays got snatched this month. The less said about all my yesterdays, the better.

Location: The food court at Liberty Place, 16th and Chestnut Street, Philadelphia, PA. They open around noon, 12:00 pm on Sundays, so you might not be able to get in if you arrive too early.

The far side of the food court where there are windows overlooking 17th Street tends to be less crowded and noisy than the main central area.