For a General Audience
Curvature of Polyhedra: A quick introduction to the idea of the curvature of a surface from the perspective of polyhedra.
For Math Undergrads
Coordinate-Free Linear Algebra: A tour of linear algebra from the perspective of universal properties, culminating in a coordinate-free presentation of many familiar concepts like the trace and determinant.
I’m working a series of articles on physics for mathematicians; more info can be found at that link. The articles in this series so far are: