If there was a way to see the electromagnetic waves that is all around us, i.e. see the electric and magnetic fields spreading away from an antenna say, how would it look? I mean if we were to freeze the picture to a single instant of time, and somehow construct a 3D diagram of the spreading electromagnetic disturbance how would it look. Considering that in nature, a change in electric flux creates a change in magnetic flux and vice versa and they sustain each other as they spread out, how would the picture look? starting from a single circle of electric field, would it create infinite circles of magnetic field perpendicular to itself around its circular periphery and those magnetic fields in turn give rise to infinite circular electric fields around themselves? This is a poor explanation possibly but the point is just how the EM wave propagates and how it looks like in reality?
It would "look" just like the electromagnetic waves you do see. Photons in the visible spectrum are the same as photons in the radio spectrum, they just have different wavelengths. If you want a rigorous description of a quantitative phenomenon, you'll have to be more specific, but there are plenty of them out there if you look around.
Here is an excellent tool for "visualising" the electric and magnetic fields of waves being produced by a variety of sources (including antennae). This applet allows you to slow down time or even freeze it at a particular instant. You can show the fields, but also the rate of change of the fields and the currents. What is doesn't do is show this in full 3-D, you have to us a bit of imagination here, but I find these simulations very useful and so do my students.