Sometimes it is difficult to make our feeling understood by others. It is so hot that the Sun is searching for a shelter! It is a hyperbole to say that it is very hot. The degree of seriousness is well understood when it is described in a hyperbole.
Hyperbolic plane in geometry describes it as multidimensional. Hyperbole also expresses high end of our expressions. Some people make it a habit to speak always hyperbole. It is interesting to hear such metaphors up to some extent only. Excess of it becomes unbearable.