vary by as much as 45%. [5,6] In sports, exercise, common tasks, and post-injury recovery, the process for achieving a desired range of motion requires professional assessment [5] and a strict rehabilitation regimen, [7] often hampered by poor adherence, resulting in poor patient outcomes. The ability to quantify movement of key joints during activity can dramatically improve outcomes for rehabilitation and boost athletic performance. However, directly monitoring and providing feedback on joint movement during an activity, unobtrusively and cost effectively, remain a major challenge. [8][9][10] Currently, tracking motion or deducing impact stresses is performed using camera motion tracking systems [11,12] or inertial measurement units (IMUs) that consist of an accelerometer, gyroscope, and magnetometer, typically packaged in a rigid brace or integrated within a band or suit. [13][14][15] In an attempt to improve the wearable aspect of the sensors, collection of positional data has been shown using conductive textiles, where special fibers integrated into the textile are the sensing elements. [16][17][18][19][20][21] However, the sensing is based on stretching of the fibers, typically unidirectional and poorly suited for integration with substantially rigid electronic components that do not tolerate well to repeated mechanical deformation. Furthermore, the integration of electronic function into textiles remains a nonstandard, expensive process. Instead, an approach is needed where the device is flexible and curved, conforming to the body surface in use, yet is also flat and nonstretchable during fabrication to be compatible with dominant, scalable manufacturing and integration processes for electronics.To resolve the conflicting design requirements stated above, we use closed-shape, planar kirigami structures, nominally with rotational symmetry, such as shown in Figure 1. Kirigami (Japanese art of cutting) has increasingly been used to engineer global elasticity in materials. [22][23][24][25] The addition of cutting allows for greater control over the geometric design and system behavior. [26] Recently, this has been leveraged to enable locomotion via soft actuators [27] and flexible electronics. [28][29][30][31] While technologies to generate patterns and functional coatings in two dimensions are now highly evolved, the structures examined here are easily generated at the application-appropriate length scales using a laser or die cutter. As the structure is displaced normal to its original plane, concentric rings defined by the cut lengths bend to create a combination of saddles with alternating positive and negative Gaussian curvatures. A sufficiently dense and appropriately configured cut pattern enables Developable surfaces based on closed-shape, planar, rotationally symmetric kirigami (RSK) sheets approximate 3D, globally curved surfaces upon (reversible) out-of-plane deflection. The distribution of stress and strain across the structure is characterized experimentally and by finite-element analysis as a fun...