Flexible devices open opportunities to explore new shapes and interactions for future digital devices. In this paper, we introduce a novel concept of Möbius shaped flexible handheld device. The Möbius shape is proposed due to (a) its ability to double the display view with smaller device structure and (b) propose natural input interactions. We also present input interactions using the free form structure of Möbius shape for commonly performed digital tasks such as scrolling, multi-tasking, multiple selection, writing and an expanded view. Further, we present how Möbius can be converted into a wearable device and a triangular device that supports the user in different usage contexts. Finally, we conclude the paper by providing our views on the contribution of this paper and why such work in important in expanding the horizon of mobile interaction and HCI research on flexible displays. © 2021 ACM.