.
Researchers at Duke University do a good job explaining their quantitative analysis of North Carolina’s congressional redistricting maps in lay terms. In this video they present fairly solid statistical proof that partisan gerrymandering indeed can be sniffed out by statistical algorithms that show when a map is the result of intentional and precise human design, and not mere adjustment of the boundaries that are already there. Of course, this only proves that partisan gerrymandering exists, and it is a helpful measure of the stark differences in the election results between a map drawn with precise political motivations versus on that simply makes the necessary adjustments for population.
.
The mathematical proof explained in the video however, does nothing to quell the difficulty of making a legal decision of when this kind of linedrawing violates the U.S. Constitution, if it does at all.