The discussion revolves around the academic study of tesseracts and hypercubes, exploring which college classes might cover these topics. Participants suggest that while many math classes provide tools for understanding hypercubes, few explicitly address them. Relevant courses mentioned include advanced calculus, differential geometry, topology of manifolds, and advanced group theory, which specifically studies n-dimensional shapes through their reflection groups. There is a consensus that while hypercubes may seem like abstract mathematical exercises with limited real-world applications, they do have relevance in higher-level calculus, particularly in the context of triple integrals and their geometric interpretations. Overall, the conversation highlights the intersection of mathematics and physics in understanding higher-dimensional geometry.