From this Big Think article, using information from this Frontiers in Computational Neuroscience paper.
"Groundbreaking research that combines neuroscience with math tells us that our brain creates neural structures with up to 11 dimensions when it processes information. By 'dimensions,' they mean abstract mathematical spaces, not other physical realms."
"To get a clearer vision of how such an immense network operates to form our thoughts and actions, the scientists employed supercomputers and a peculiar branch of math. The team based its current research on the digital model of the neocortex that it finished in 2015. They probed the way this digital neocortex responded by using the mathematical system of algebraic topology. It allowed them to determine that our brain constantly creates very intricate multi-dimensional geometrical shapes and spaces that look like 'sandcastles.'"
"When stimulated, virtual neurons would form a clique, with each neuron connected to another in such a way that a specific geometric object would be formed. A large number of neurons would add more dimensions, which in some cases went up to 11. The structures would organize around a high-dimensional hole the researchers called a 'cavity.' After the brain processed the information, the clique and cavity vanished."
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