I have been tidying up recently and stumbled across this movie of a flickbook showing the “growth” of:

a point to a line (0D to 1D),

a line to a square (1D to 2D)

a square to a cube (2D to 3D)

and from a cube to a hypercube (3D to 4D).

Not much else to add, it does what it says on the tin!