I wonder if similar math could lead to a way of setting up voting districts, as a fair alternative to gerrymandering. Of course you wouldn't want to cut people into pieces, so it would have to be an approximation of some sort.
“I-Cut-You-Choose” Cake-Cutting Protocol Inspires Solution to Gerrymandering
https://www.cmu.edu/news/stories/archives/2017/november/i-cu...