Math Counts December 2025 - Celebrate 2025

A Math Counts social event to close out 2025 and plan ahead for next year.

Possible topics:

1. Math Counts member's suggestions
2. A quick recap of my "improv" or "desert island" approach to exploring mathematics. This is a work in progress, and an experiment. I am hinting at 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.
3. 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.