For their first foray into nesting chairs, Herman Miller turned to German industrial designer Stefan Diez. The result is the Fuld Nesting Chair, designed to save space when not needed:
"Designed for practicality, it features flip-up seats and wall-saving legs that prevent the seat-back from scraping against walls."
"Its pioneering one-piece construction and tubular arms result in less waste in the production process. In addition, the 3D Knit textile, which is made from 50 percent post-consumer recycled content, is knitted to the chair's exact dimensions, so there's no fabric waste."
The back actually has some flex to it:
Diez posted some prototyping shots on his website: