While the object oriented paradigm and its instantiation within programming languages such as Java has become a ubiquitous part of both the commercial and educational landscapes, its usage as a visualization technique within mathematics undergraduate programmes of study has perhaps been somewhat underestimated. By regarding the object oriented paradigm as a medium for conceptual exploration (rather than merely as a tool) the aim is to show how the close conceptual links between object orientation and certain mathematical structures such as rings and groups can be more fully realized, using a ready-made public-domain Java package.