In the years since, Quantum Computers have been realized, and the field of Quantum Computing has exploded. The use of quantum computers is being explored in a wide range of fields including finance, automotives, and the life sciences . Due to their broad utility, they have become an important geopolitical consideration, resulting in funding from governmental and private sectors, across the globe, of more than 35 billion USD . As is true of any emerging technology, the creation and sustainable delivery of a workforce equipped to develop, utilize, and further innovate is a critical consideration. Accordingly, those working in the field of quantum technology need to understand the foundational underpinnings of quantum mechanics. For many, including one of the authors of the current work, this understanding starts with the particle-in-a-box problem. This trivially simple model manifests critical elements of quantum systems and has been used to introduce countless students to the foundational concepts of quantization and degeneracy; properties arising through the act of describing a confined particle. A robust literature exists that describes ever more sophisticated extensions of this simplest of possible problems, and one of the aims of this contribution is to provide an underlying syntax to help organize and orient the interested student.