I was recently watching the original music video for Billy Joel's "We Didn't Start the Fire," and at 0:38 there's a shot of a stovetop with an odd looking device with what I assume is a coffee pot on top. There are two bowls, one on top of the other, with some tubes in between them. There appears to be coffee, or some other dark beverage, in the bottom of the two bowls. It doesn't appear to be on an actual range, but rather sitting on a hot pad, after the brewing process is done.
Here's a screenshot of the scene:

What type of coffee pot is this, and how is it supposed to work?
Thanks!