  We present drawings on the complex plane of the lines Im(zeta(s))=0 and
Re(zeta(s))=0. This allow to illustrate many properties of the zeta function of
Riemann. This is an expository paper. It does not pretend to prove any new
result about the zeta function. But it gives a new perspective to many known
results. Also it may prove useful to show to students of Complex Variables or
Analytic Number Theory. (This was my initial motivation to make the drawings).
