@article{TEXTUAL,
      recid = {11417},
      author = {Efrati, Efi and Irvine, William T. M.},
      title = {Orientation-dependent handedness and chiral design},
      journal = {Physical Review X},
      address = {2014-01-16},
      number = {TEXTUAL},
      abstract = {Chirality occupies a central role in fields ranging from  biological self-assembly to the design of optical  metamaterials. The definition of chirality, as given by  Lord Kelvin, associates chirality with the lack of mirror  symmetry: the inability to superpose an object on its  mirror image. While this definition has guided the  classification of chiral objects for over a century, the  quantification of handed phenomena based on this definition  has proven elusive, if not impossible, as manifest in the  paradox of chiral connectedness. In this work, we put  forward a quantification scheme in which the handedness of  an object depends on the direction in which it is viewed.  While consistent with familiar chiral notions, such as the  right-hand rule, this framework allows objects to be  simultaneously right and left handed. We demonstrate this  orientation dependence in three different systems-a  biomimetic elastic bilayer, a chiral propeller, and optical  metamaterial-and find quantitative agreement with chirality  pseudotensors whose form we explicitly compute. The use of  this approach resolves the existing paradoxes and naturally  enables the design of handed metamaterials from symmetry  principles.},
      url = {http://knowledge.uchicago.edu/record/11417},
}