Brian Pinsky, Rutgers University

Abstract

This is a cute problem me and some friends overanalyzed a while back. Suppose there is a dentist who wants to examine 3 patients, but only has 2 pairs of gloves. The gloves can be stacked and inverted however you want, but once one surface of the glove touches a patient, that surface is contaminated and will contaminate any surface it touches. No patient can be examined with a glove contaminated by another patient.

I'm going to talk about the generalizations we asked about.

See: https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html