This work describes a way of interactive manipulation of structured objects by interaction rules. Symbols are used as graphical representation of object states. State changes lead to different visual symbol instances. The manipulation of symbols using interactive devices lead to an automatic state change of the corresponding structured object without any intervention of the application. Therefore, interaction rules are introduced. These rules describe the way a symbol may be manipulated and the effects this manipulation has on the corresponding structured object. The rules are interpreted by the visualization and interaction service. For each symbol used, a set of interaction rules can be defined. In order to be the more general as possible, all the interactions on a symbol are defined as a triple, which specifies the preconditions of all the manipulations of this symbol, the manipulations themselves, and the postconditions of all the manipulations of this symbol. A manipulation is a quintuplet, which describes the possible initial events of the manipulation, the possible places of these events, the preconditions of this manipulation, the results of this manipulation, and the postconditions of this manipulation. Finally, reflection functions map the results of a manipulation to the new state of a structured object.