In both houses of the Vermont legislature and the New Hampshire House (and probably others as well), there are many districts that vary the number of people that can win per district, e.g., the 11-member district of Hillsborough-37 (consisting of Hudson and Pelham, NH) while there are plenty of single-member districts throughout. I'm trying to wrap my head how a person in Hudson, NH gets to vote for 11 people while the Dixville Notch voters only get to choose one house member and not run afoul of one person-one vote idea or the Reynolds vs. Sims decision.
The Alabama Constitution apportioned (apportions, it has not been updated since the Reynolds v Sims decision) one representative to each of the 67 counties, and apportions the remaining 39 based on population. Though the constitution required an apportionment after every census, it had never been done since the 1901 Constitution was enacted. Even it the House would have been reapportioned, the 39 extra seats were insufficient to equalize representation.
It would be like if the US House had 75 representatives.
The apportionment would be CA 7, TX 5, NY 4, FL 4, IL 3. PA 2. O 2. MI 2, GA 2, NC 2, NJ 2, VA 2, WA 1, ....
A majority of the House could be elected from states with 32.4% of the population, and Washington and Wyoming would each have a single representative, even though Washington has almost 12 times as many people.
There would be insufficient representatives to provide any degree of proportionality. The problem was not that Jefferson County did not have representatives elected by district, but that too few representatives were apportioned to the county.
The rubric "one man, one vote" is misleading. If my district has 20,000 voters and yours has 100,000 voters, we each have "one vote" and assuming that we are both men.
The formulation is that our votes will have roughly equal weight. If the 100,000 voters can elect 5 representatives, and the 20,000 can elect one representative this would be true.
The 'Reynolds v Sims' decision itself suggests that multi-member districts might be used to achieve to comply with "one man, one vote" (equal protection).
Multi-member districts were later ruled to be unconstitutional in certain cases. If there were a minority neighborhood in Hudson or Pelham, it might be able to elect a Democratic representative, but with 11 at-large representatives they would be outvoted by (white) Republicans.
If the 11 representatives were elected by district it is quite possible that the Republicans could still elect 11 members. They had a pretty healthy plurality, about 58% in Hudson, and 60% in Pelham. If the Democrat did elect someone, it would be because of some oddball occurrence. If one of the R's was caught in a scandalous situation, voters might split their vote among the 11 D candidates, none of which would get that many more votes. But in a single-member district, there is only one D to vote for.