Liquid crystal elastomers (LCEs) can undergo large reversible contractions along their
nematic director upon heating or illumination. A spatially patterned director within a flat LCE
sheet, thus, encodes a pattern of contraction on heating, which can morph the sheet into a
curved shell, akin to how a pattern of growth sculpts a developing organism. Here, we
consider theoretically, numerically, and experimentally patterns constructed from regions of
radial and circular director, which, in isolation, would form cones and anticones. The …