Here is an interesting yet probably quite absurd set of maps that split the United States into various configurations of states with equal populations. Two of the maps:
I can see the logic behind this – more equal representation. However, the others are implausible. If anything, more equal populations might be accomplished by breaking states into smaller units that might be more equal in population to each other as pieces of the larger state. But, trying to imagine merging into megastates or different configurations of the 50 states is hard to imagine.