The Slender Vender May 8, 2013 Dani Comar Diet Coke fits beautifully into one's lifestyle -- and so does its Slender Vender: The thinnest vending machine in the world. It fits where others can't and may show up in a place you'd least expect. Discover how people react when they see it. The world’s slimmest vending machine, for Diet Coke, who else?