A bladeless fan, but "Air is drawn into the base of the machine. The air is forced up into the loop amplifier and accelerated through the 1.3mm annular aperture, creating a jet of air that hugs the airfoil-shaped ramp."
So basically, they use a mystery device to draw air in and force it into the loop amplifier. $1 says they use a bladed fan to do this. In other words, this isn't a bladeless fan, its a airspeed/volume amplifier.
Nice try Dyson, but I left your overpriced and under-performing vacuum (according to Consumer Reports) on the store shelf, and I'll probably leave this $300 piece of crap there too.