Our 3D printable soft stretchable elastomers exhibit extreme mechanical properties in response to both tensile and compressive loadings. To demonstrate potential applications enabled by these properties, we transform our elastomer resins to energy dissipative structures and explore their capability in protecting brain-like gel from impact damage, which is critical for preventing traumatic brain injury (TBI) . Depending on the location of the tissue and loading conditions, brain tissue varies in stiffness but generally has compressive modulus between 1 and 50 kPa .