These geometric and participatory transformations do not change the structure of the Containment relations but they do change the **cognitive look-and-feel**, which includes comprehension, understanding, mental modeling, learnability, retention, generalization and cognitive utility.
When expressed in computing languages, the iconic dialects interact with implementation architectures, programming metaphors and models, functional partitioning, algorithmic efficiency, compiler techniques, parallelism, hardware/software co-design, and information storage and retrieval.
Classical mathematical technique places mathematics above and beyond physical and cognitive constraints. The indulgence of Platonic reality assures the construction of artifacts that are as physically detached as those generated by playing video games. This opinion is antithetical to the assertion of mathematical primacy, however William Bricken would suggest that the illusion of primacy characterizes a mathematics only in its infancy.