Figure 4. Transformation-induced domain structure.

The nonlinear uniform soft twisting of a deformed kagome lattice alters the lengths of the two lattice vectors a₁, a₂ as indicated by the thick black curve of a. However, as discussed in the main text, at critical angles such as it is possible to create distinct domains within which two sections of the material undergo the uniform soft twisting depicted in Fig. 1 in opposite directions. This leads to a family of new twisting modes such as the blue lines shown. Choosing the proper domain structure allows any set of material strains in the shaded region. In configuration (c), the top and bottom domains correspond, respectively, to the uniform configurations (b,g), with continuity at the interface allowed by the common length of the primitive vector a₂. Configuration (c) may be transformed into configuration (d) by the soft twisting, but to achieve either a uniform configuration or configurations (e,f), which have different distributions of domains, the material must pass through a critical angle.