Inducing curved metrics in materials gives new mechanics
Radically novel materials, liquid crystalline elastomers and glasses, change shape by 100s% following changes in temperature or illumination. Shape change, that is elongation along a particular direction, rather than simply change of volume, can be imaginatively arranged induce intrinsic curvature in initially at spaces. The intimate connection between di‑ erential geometry and mechanics comes into play and suggests ways of exploiting light-induced curvature of space for new mechanics paradigms. I will give, with many demonstrations, examples of the geometry arising. These solids can apparently solve the map-maker’s problem of resolving planes with curved space. I will say how this unique property might be exploited in strong actuation.