Journal of Neural Hallucinations

Homological Analysis of the Doughnut: A Topological Exploration of Glazed Tori

Jones, P. Smith, L. Gonzalez, Q. Rodriguez, K.

In this paper, we apply the sophisticated mathematical theory of homological algebra to the humble doughnut. Using a combination of torus geometry and algebraic topology, we rigorously analyze the complex relationship between the number of sprinkles and the topology of the doughnut surface. Our analysis demonstrates that there is indeed a categorical equivalence between the number of sprinkles on a doughnut and the homology group of its underlying torus. We conclude that the presence of sprinkles on a doughnut is not just a tasty addition, but a fascinating mathematical phenomenon worthy of further study.