Thread: Explain to me the 4th dimension.

Dependent dimension, as in, values in one affect the other. i² = -1, so a number in one complex dimension actually can affect the other. The imaginary dimension is connected to the real one. You also have cases like quantum superposition, with an n number of dimensions, but the diagonal of their values must always equal 1. Yes, there are independent dimensions, but the imaginary dimension is dependent.

The Riemann Sphere is exactly what I'm talking about - difference is, I didn't know it's name, since I got there on my own, on high school.

Basically, a system with n number of dimensions means a form has n number of perpendicular projections. The dimensions can be anything you define them to be, from statistical information to hyperspatial constructions. What we usually mean by 3d, though, is that the universe has 3 spatial dimensions.