[posterboy]

the ELI 5 of higher dimensions explained mathematically in text is that a coordinate in R^3 is identified uniquely by a three tuple u = (x, y, z). A four touple simply adds one dimension. That might be a time coordinate, color, etc.

If I remember correctly, the integers Z form spaces, too. Z^2 can be illustrated as grid, where every node is uniquely identified again coordinates or by two of its neighbours, eitherway v = (a, b).

Adjency lists or index matrices are common ways to encode graphs. My modelnof a neuron network is then a graph.

I imagine that, since Neurons have many more Synapses, that's how you get a manifold with many more coordinates.

Each Neuron stores action potential much like color of a pixel and its state evolves over time, but that's when the model becomes limited.

How it actually represents complex information in this structure I don't know.

PS: Or very simply put, physics has more than three dimensions.