44: derangements and the shape of persistence

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Exploring the structure of reality, this book delves into the relationship between minimal partition balance and hyperbolic geometry. It reveals how the minimum volume complement of the hyperbolic figure eight knot partitions into an n-hypersphere, setting the stage for understanding fundamental constants like the Planck constants. The text connects these concepts through the hyperbolic vortex equation, detailing the 17 tessellations that establish charge and mass values of fundamental particles, while linking to the gamma and Riemann zeta functions to illustrate the balance of Nature's constants.