Advanced mazes put either the start or the finish inside a circular island in order to foil the hand-on-a-wall trick. But this doesn't work on two-dimensional mazes if the start and finish both have to be on the edge of the maze.
"Drake, where's the exit?"
"It's right there, see, I drew exit."
"You were supposed to go left."
"Dude I'm gonna."
"Oh really?"
"Yes!"
"So go left"
"Okay! I will."