The algorithmic determination of districts is attractive, but there can still be the problem of accidental "gerrymandering"---that the voters are so thoroughly

The algorithmic determination of districts is attractive, but there can still be the problem of accidental "gerrymandering"---that the voters are so thoroughly mixed that the 40% party loses to the 60% party almost everywhere. There is another interesting way to solve this. Divide the land into even-population districts in any way. Then, let the population vote on the candidates. Finally, in each district, choose one vote at random to determine the winner. The distribution of the representatives' party allegiations will be statistically very close to the actual distribution in the population. (This is not my idea; I read it somewhere some time ago.)