Dot, Line, Plane, Body

What can we actually represent with 1D,2D and 3D?

For 1 Dimension,
1 Axis
1 Dot = Dot on a line
2 Dot = Line on a line

For 2 Dimension
2 Axis
1 Dot = Dot on a plane
2 Dot = Line on a plane
>= 3 Dot Area on a plane

For 3 Dimension
3 Axis
1 Dot = Dot on a Body
2 Dot = Line on a Body
3 Dot = Area on a Body
>=4 Dot = Volume on a Body