  Large astronomical objects such as stars or planets, produce approximately
spherical shapes due to the large gravitational forces, and if the object is
rotating rapidly, it becomes an oblate spheroid. In juxtaposition to this, we
conduct a thought experiment regarding the properties of a planet being in the
form of a perfect cube. We firstly calculate the gravitational potential and
from the equipotentials, we deduce the shape of the lakes that would form on
the surface of such an object. We then consider the formation of orbits around
such objects both with a static and a rotating cube. A possible practical
application of these results is that, because cuboid objects can be easily
stacked together, we can calculate the field of more complicated shapes, using
the principle of superposition, by simply adding the field from a set of
component shapes.
