Sums up their personalities pretty well.
Eddy: I can achieve anything
Edd: there’s a logical way to achieve what I want
Ed: there’s nothing standing in my way
Eddy hopping over the fence indicates his willingness to “cheat” the system, or to take a shortcut. Much like his schemes, it might end up being more work, but in his mind, cheating is the best way to get ahead.
Edd goes the neat and logical way, he’s straight forward. BUT, note that he closes the gate behind him rather than leaving it open. He’s incredibly meticulous and even if it’s more convenient to leave it open for anyone coming in behind him, he has to leave things neat, tidy and as he found them.
Ed is also is straight forward, he in fact is using the MOST direct route. But this route is one no one else would consider because it seems completely nonsensical. Which sums him up pretty well. The fact that it works for him is also fun to note. In general his earnestness and determination carries him through situations that most people would be stopped by.
I honestly never thought I’d see a critical analysis of Ed, Edd, and Eddy