Crystallographic descriptions of regular 2-periodic weavings of threads, loops and nets
M. O’Keeffe, M.M.J. Treacy
Abstract
Piecewise linear descriptions are presented of weavings of threads, loops and 2-periodic nets. Crystallographic data are provided for regular structures, defined as those with one kind (symmetry-related) of vertex (corner) and edge (stick). These include infinite families of biaxial thread weaves, interwoven square lattices (sql), honeycomb (hcb) nets, and tetragonal and hexagonal polycatenanes.
Topics & Concepts
Thread (computing)Hexagonal crystal systemVertex (graph theory)CombinatoricsTetragonal crystal systemPiecewise linear functionMathematicsAdjacency listCrystallographyGeometryPhysicsComputer scienceCrystal structureGraphChemistryOperating systemCrystallography and molecular interactionsMetal-Organic Frameworks: Synthesis and ApplicationsSupramolecular Self-Assembly in Materials