Einstein's theory of relativity is, in essence, a description of the interaction between different perspectives. Freud's analytical methods were designed to find details that did not fit with traditional perspectives in order to find a completely new point of view. In order to creatively solve a problem, the thinker must abandon the initial approach that stems from past experience and re-conceptualize the problem. By not settling with one perspective, geniuses do not merely solve existing problems, like inventing an environmentally-friendly fuel, they identify new ones. It does not take a genius to analyze dreams, it required Freud to ask, in the first place, what meaning dreams carry from our psyche.
Geniuses make their thought visible.
Galileo revolutionized science by making his thought visible with diagrams, maps, and drawings while his contemporaries used conventional mathematical and verbal approaches. Once geniuses obtain a certain minimal verbal facility, they seem to develop skills in visual and spatial abilities which give them the flexibility to display information in different ways. When Einstein had thought through a problem, he always found it necessary to formulate his subject in as many different ways as possible, including diagrammatically. He had a very visual mind. He thought in terms of visual and spatial forms, rather than thinking along purely mathematical or verbal lines of reasoning.