Zero dimension: a point has no coordinates. It simply is. This is akin to the null set.
One dimension: A line is the shortest distance between two points in Euclidean space.
Two dimensions: We have a plane, a triangle, a window into the world.
Three dimensions: This is what we project in lived experience.
Four dimensions: Think about a space within a space. Akin to the place of an object at all times. A prominent example is the terrasect. I can show a cool (temporal) gif if need be. This is a four-cube enveloped within itself. The inner can swallow the outer in a temporal sense, but I do not mean to tie four-dimensionality to time. The latter is, perhaps, the prevailing view in contemporary physics: i.e. spacetime and relativity theory. Any opinions / refutations? I am inclined to say that the fourth dimension is real, in a geometric, spatial, and mathematical sense, and perhaps in an everlasting and / or atemporal sense.
