The problem was not solved in any other dimensions until Viazovska discovered an astonishing connection to the theory of modular forms and solved the problem in dimension 8. Within days, Cohn, Kumar, Miller, Radchenko and Viazovska used similar techniques to solve the problem in dimension 24. To this day, the problem remains unsolved in all other dimensions.
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Allocating classes with minimal fragmentation is simple when using a