Richard Evan Schwartz, Brown University

Abstract

Starting from one of the well-known reformulations of the 4-color theorem, I'll show some experiments I did concerning proper 4-colorings of the sphere triangulations in which the maximum number of triangles around a vertex is 6. I haven't made much progress on understanding all the solutions but I will show off a nice infinite family that gives a novel geometric interpretation of continued fractions.

Link to video: https://vimeo.com/783464064

Presented Via Zoom: https://rutgers.zoom.us/j/94346444480

Password: 6564120420

For further information see: https://sites.math.rutgers.edu/~zeilberg/expmath/