This paper provides the second part of an epistemological rational for the novel discipline of “Trioinformatics”. This novel extension of notation in mathematical form is the continuation of the Trioinformatics article that appeared in the imanager Journal on Circuits and Systems.“Neuroengineering Neuromathematics Notation” is the collaborative and comprehensive expression of Trioinformatics as a sequential sequence of inquiry into a precise research analysis methodology. Neuroengineering is an innovative way of explaining the transition from trichotomous logic (Osler, 2015) into trichotomous Triple–I (Osler, 2013d) research questions and associated instrumentation [first introduced in the imanager Journal on Mathematics as a part of the Tri–Squared Test (Osler, 2012a)]. Trioinformatics is an in–depth way of symbolically illustrating the law of trichotomy and a mathematically–grounded rational technique for explaining the ternary nature of electronic circuitry (Osler, 2015). The use of the Trioinformatics also adds value to investigative inquiry through the efficacy of digital instruments and tools via eduscientifically–engineered (Osler, 2013) research designs (Osler, 2015). Additional research into trioinformatics via the use of neuroengineered neuromathematical notation will further advance in–depth investigations into the tripartite aspects of nature and natural phenomena.