The scientists at NASA are investigating an asteroid in space. From particulars transmitted by the Hubble Space Telescope, it is known to the scientists that the asteroid is either a ball or a cube, but they are in the dark about what it actually is. To determine the exact shape, the scientists are sending a spacecraft to the asteroid. Once the spacecraft lands, the rover is programmed to start moving at the landing site and finish at the point symmetric to the landing site with respect to the center of the asteroid. On its way, the rover will keep transmitting its exact location in terms of spatial co-ordinates with respect to the spacecraft, so that the trajectory of the rover movement can be known to the scientists at NASA. Using these data, they plan to determine whether the asteroid is spherical or cubical.
Is their plan sure to work?
Source: Tournament of Towns.