Brendan Schneiderman in Slate on the potential of cumulative voting to curb gerrymandering:

It doesn’t have to be like this. There is a way to avoid line drawing altogether, and to do it constitutionally. Yes, the Constitution requires that the number of House seats be apportioned among the states according to their respective populations, but it says nothing of congressional districts—and nothing about line drawing. . . .

Fortunately, there’s a readily available solution to address this: Congress could also enact what’s known as cumulative voting. Under a cumulative voting scheme, rather than having Texans merely fill in ovals next to their 38 favorite candidates (i.e., giving each candidate one vote apiece), voters would have 38 votes to assign however they see fit. If there is only one candidate a voter supports, that voter could give the candidate all 38 votes, improving the odds that they get elected, but leaving the remaining seats up to other voters. Or imagine that a non-major party, like the Libertarian Party, endorsed a slate of 10 candidates; then, pro–Libertarian Party voters could allocate three or four votes apiece across those 10. This reform would protect party minorities, like Democrats in Texas, because it would allow Democratic voters to distribute their votes across a smaller but mightier group of candidates. . . .

And although it may sound grandiose, Congress can enact just such a multimember-district, cumulative voting model: The Constitution grants that the body “may at any time” enact voting regulations, something it has done occasionally, most prominently with the Voting Rights Act of 1965. Indeed, multimember districts have already been introduced in Congress by Virginia Democrat Donald Beyer via a bill that, while not eliminating line drawing altogether, would mitigate its worst effects. And cumulative voting already exists at the county level. Together, they provide a comprehensive, pro-democracy reform for electing members of the House—without drawing a single line.