To clarify, I visualize the number line. It is actually a curve which extends into space like a meander, and certain distinct numbers are located on points with

To clarify, I visualize the number line. It is actually a curve which extends into space like a meander, and certain distinct numbers are located on points with large curvatures (e.g. 10 and 20). It is somehow "logarithmic-cyclic", so that the shape of the curve starts over for every 3-power -- 10^0, 10^3, 10^6. The shape of the number space from 10^3 to 10^6 looks the same as for 10^0 to 10^3, except the representation in space appear scaled-up or larger. I do not know how common this perception is :)