People wearing Google’s glasses are transported to a strange new world in which the Internet is always in their line of sight. But for people looking at the people wearing those glasses, the view is even stranger — someone wearing a computer processor, a battery and a tiny screen on her face.

As Google and other companies begin to build wearable technology like glasses and watches, an industry not known for its fashion sense is facing a new challenge — how to be stylish. Design has always been important to technology, with products like Apple’s becoming fashion statements, but designing hardware that people will wear like jewelry is an entirely different task.

In a sign of how acute the challenge is for Google, the company is negotiating with Warby Parker, an e-commerce start-up company that sells trendy eyeglasses, to help it design more fashionable frames, according to two people briefed on the negotiations who were not authorized to speak publicly because the partnership has not been made official. Google and Warby Parker declined to comment.

They join other companies that are grappling with these design challenges, including big companies like Apple, Nike and Jawbone and smaller ones like Pebble, MetaWatch and Misfit Wearables.