The recent discovery of a new type of exotic state, the so-called superformed (SD) state in rapidly rotating, extremely distorted atomic nuclei has ushered in a new area of physics called high-spin spectroscopy. The measure ment of discrete SD states at angular momenta lying in the 40 to 60 h range is fast becoming a standard technique in nuclear γ-ray spectroscopy thanks to improved experimental skills and the introduction of multi-detector arrays.The term "superdeformation" was first used by Cohen, Plasil and Swiatecki [1] in their study of nuclear shapes at equilibrium in the presence of a fast rotation. The analysis was based on a model of a rotating liquid drop and the predicted SD states were related to the Jacobi instability known from the behaviour of astronomical objects such as stars, planets and asteroids.The analogy between astronomical objects and atomic nuclei should not, however, be pushed too far. First of all, the gravitational forces active in the former are of a long range (as compared to the dimensions of a system) whereas the nuclear forces are of a short range. Second, astronomical objects are go verned to a very good approximation by the laws of classical mechanics while the atomic nucleus is a domain of quan tum phenomena. Nevertheless, the fas cinating discovery of SD states in nuclei seemed to prove the existence of analo gous phenomena in systems differing greatly in their sizes and masses.