I love this analogy. One of my former professors once explained pure mathematics as a pitch black room, and writing proofs is like wandering around in that room looking for a light source -- often stubbing a few toes along the way. Once a proof is complete, a light has illuminated the room for others to enter safely. The mathematician often finds the room boring and moves on to another pitch black room.
The hard work is wandering around in the dark. Intelligence is the ability and willingness to wander around.