Extending the concept of mixin to multidimensional objects

As part of a work that models objects of a class in a multidimensional space on state criteria, and provides a neat and powerful inheritance mechanism, the paper focuses on one aspect of such modeling, namely the mixin concept. The problem is how to isolate in a reusable way supplements of behavior (e.g. Bounded) that are not meaningful by themselves but only when combined with the behavior of regular objects having certain properties (i.e. instances of Stack Queue…). The concept´s novelty lies not in its innovative upscaling to multidimensional objects. The paper describes the mixins proper (as receptacles of behavioral supplements), and an operator, dubbed derivation, for attaching these mixins to classes and combining the involved behaviors. Central to modeling, it is shown, is the destination of each transition outcoming from the hook node of acceptable base graphs