This discourse provides a deeper epistemological rational for the novel discipline of “Trioinformatics” through the use of “Trioengineering” to create innovative research instrumentation from trichotomous research questions. Trioengineering uses of the novel mathematical “Ambitation” from “Neuromathematical Neuroengineering Notation” in Trioengineering as a novel operational methodology referred to as “Interapplication”. This specialized operation was first defined in the Trioinformatics article that appeared in the March-May i-manager Journal on Circuits and Systems. Trioengineering's use of the neuromathematics “Ambitation” as an “Interapplication” is the holistic, 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 a trichotomous Triple-I (Osler, 2013d) in which research questions are implemented in a meticulously defined and mathematically associated instrument [first introduced in the i-manager 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 as 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).