My video equipment is rather lacking so I doubt it would add much.
http://www.youtube.com/watch?v=_S7-PDF6Vzc&NR=1Look at the above video, It is a lab demonstration of standing waves. A standing wave is essentially the same thing as a harmonic except that a harmonic deals only with audio waves.
The pictures at the beginning describe
one loop: fundamental
two loop: 12th fret harmonic
three loop: 7th fret harmonic
the video also shows movement for the two loop directly after the pictures and for the three loop about 3 minutes in.
see those points where the string isn't moving, that's why it's called a standing wave, it's also the location of the harmonic node.
When you pick a string you get not only the fundamental but a whole host of harmonics giving the string a rich sound (pick the string above the 12th fret and you'll hear what the fundamental sounds like).
By lightly touching the string exactly where that node is you kill the fundamental and all the other harmonics. the remaining harmonic survives because you aren't interfering with it.