Ever since geotropism was first studied in plants, attempts have been made to create model systems which might simulate the perception by a plant of a gravitational change. The most resilient of these models, the so-called statolith theory, has now enjoyed a run of over 75 years and demonstrates its viability by reappearing in many different forms. It has shown its value by anticipating the now well understood graviperception mechanism in the Chara rhizoid and this will be described. However, it is unlikely that many features of this relatively simple system can be translated to the higher plant. We now know precisely, at least in many primary roots, the distribution and approximate numbers of the cells that perceive gravity. There is no reason to assume that an identical system operates in shoots, since it is now clear that the fundamental hormonal bases of these two systems are different. We also know much about the ultrastructure of many geoperceptive cells, but apart from speculative models a satisfactory explanation of this very rapid and flexible system eludes us. A possible model system is proposed and ways of testing it in zero gravity are suggested.