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Reynolds v. Sims, 377 U.S. 562 1964 was a Supreme Court case that ruled that state legislature districts had to be roughly equal in population.
Having already undertaken what was previously felt to be a purely political question regarding redistricting in 1962 in Baker v. Carr, the Court decided to go farther in order to correct what seemed to it to be egregious examples of malapportionment which were serious enough to undermine the premises underlying representative democracy. Before Reynolds, disparities existed between state senates far greater than disparities in the US Senate. Urban counties were often drastically underrepresented.
Here are a few pre-Reynolds disparities compiled by then- Arizona Representative Morris K. Udall:
The eight justices who struck down state senate inequality based their decision on the principle of "one man, one vote." In his majority decision, Chief Justice Earl Warren said "Legislators represent people, not trees or acres. Legislators are elected by voters, not farms or cities or economic interests."
Reynolds v. Sims set off a legislative firestorm in the country. Sen.Everett Dirksen of Illinois led a fight to pass a Constitutional amendment allowing unequal legislative districts. Dirksen warned that if
In 1989, the court cited Reynolds v. Sims as a precedent when it declared New York City's Board of Estimate unconstitutional; the decision strengthened the desire of many residents of Staten Island, the city's smallest borough, to contemplate secession from the city - a movement which remained prominent until Rudolph Giuliani was elected mayor of the city in 1993.
Despite the bluster of people who feared tyranny of cities, the court's decision was implemented.
http://dizzy.library.arizona.edu/branches/spc/udall/congrept/88th/641014.html