Apart from being wider, lower and on fatter front and rear tyres, the new generation of cars stands out for having prominent fins emanating from the airbox behind the driver's head.
Some are more brutal than others, with the Toro Rosso and Mercedes drawing rave reviews for their flowing lines while the likes of Williams and Force India have attracted less favourable comments.
"I think the cars look fantastic, the only thing that lets them down is the shark fins," Horner told reporters on the first day of pre-season testing at the Circuit de Catalunya.
"It's something that we raised at the Formula One strategy meeting last year to ask that all teams remove them, because it is pretty marginal the performance gain that they offer," he added.
"In the interests of aesthetics, it was requested that they be removed. That went to the Formula One commission and unfortunately was immediately rejected by the majority of teams."