There is a smartphone being developed that you can bend, and no, not like the iPhone 6 Plus.
ReFlex uses a Flexible OLED display from LG, similar to some of the rollable screens recently shown at CES this year, allowing you to bend it at your will. It’s the first flexible phone that combines bend input with standard multitouch capabilities, meaning you can use touch interaction like a typical smartphone as well as interact with certain apps by bending the phone.