Add in a three-dimensional object with three different axes of orientation, which the robot has to push across a table, and the size of the search space swells to 16 dimensions, which is too large to search efficiently. Barry's first step was to find a concise way to represent the physical properties of the object to be pushed — how it would respond to different forces applied from different directions. Armed with that description, she could characterize a much smaller space of motions that would propel the object in useful directions. "This allows us to focus the search on interesting parts of the space rather than simply flailing around in 16 dimensions," she says. Finally, after her modification of the motion-planning algorithm, she had to "make sure that the theoretical guarantees of the planner still hold," she says.