Fixies are impracticable and for hipsters.
Nonsense. I rode one for several years, even doing a century on it. Mine was set up for actual riding though, with clipless pedals, a front brake (rear brakes aren't necessary), and a water bottle cage.
I also sported a fixie mtb back when I had a singlespeed mtb with v-brakes in the rear. Log crossings were sporty. :D
Fixed gear is just the drivetrain, right? You could build a bike like that with a freewheel, then what would it be?
It doesn't look like a road bike to me because it doesn't have dropped handlebars.
Yes. The pedals turn in whatever direction the wheels are turning and never stop moving as long as the bike is moving. It requires a smooth pedal stroke. I found fixies great for climbing because you get a "flywheel" effect from the rear wheel.
You could build the same bike with a freewheel and get a singlespeed road bike, but you'd want to add brakes. For that matter, I'd add at least a front brake to any fixie.
FWIW, road bikes don't need to have drop bars.
Chris