The election of 1860 was one of the most important and contentious elections in US history. It was also one of the most interesting. Four candidates from three different parties battled for the presidency and all four received a significant number of votes. We ask whether Lincoln's victory was sound, or was it due to a fluke in the electoral system? Did a Lincoln win plausibly represent the will of the voters or would a different voting system have represented their preferences more accurately? Would the outcome have been the same had one or more of the candidates dropped out of the race? These and other questions are answered using new graphical techniques which let us assess voter preferences more accurately. Using these techniques, we are able to show, in a single figure, the outcome of every positional voting system, as well as all possible approval voting outcomes. By comparing the outcome under plurality rule to the outcomes which would have occurred under other voting systems, we conclude that Stephen Douglas, not Lincoln, was plausibly the candidate who best represented the preferences of the voters.
