Subject: Why is an electromagnetic field a wave? Are the particles also waves?

All I want to know is: Is the form of the particle that gives the form of an
electromagnetic field? I mean, we know that light is waves, but what does it 
means in fact? It means particles wich are travelling trough the space-time ARE 
waves? Maybe energy in form of waves??

Also,  I've heard about it, X particles and X waves (takions?). I'm lost. Which of 
those things were supposed to be form of a X? The wave or the particle??

Re: Why is an electromagnetic field a wave? Are the particles also waves?