# $3$ dimensional representation of Electric Field lines between Two particles

I have seen in many books the $2$ dimensional representation of field lines (between two particles having equal positive charge) as-

But I am trying to visualise this $3$ dimensionally as how the field lines will look if the two positively charged particles are kept in three dimensional vacuum space..which I am unable to.

Can someone help me with this? I am hypothesising that I have to just mentally rotate the image about its symmetrical axis.But which axis? and why? There are two symmetrical axes(one passing through particles and one parallel to them).

Moreover I am also thinking that since lines in field lines are $2$ Dimensional (that is they can only be made in a plane) so maybe it is not possible to visualise this $3$-dimensionally. Is it so?

Does that mean Field lines are not the best way to represent Electric Field beacuse it cannot be visualised 3-Dimensionally?

• But Mathematically speaking aren't Lines Two-dimensional so how can we use Theese lines to represent Electric-Field in a $3$-dimensional space ? – Freelancer Feb 28 '16 at 7:41