Crystallography math

  • What are crystals in math?

    In mathematics, crystals are Cartesian sections of certain fibered categories.
    They were introduced by Alexander Grothendieck (1966a), who named them crystals because in some sense they are "rigid" and "grow"..

  • What is a crystal in math?

    In mathematics, crystals are Cartesian sections of certain fibered categories.
    They were introduced by Alexander Grothendieck (1966a), who named them crystals because in some sense they are "rigid" and "grow"..

Apr 12, 2014Mathematical crystallography is based on the conception that the particles forming the crystal lattice are arranged in an ordered, periodic 
Mathematical crystallography is the branch of crystallography dealing specifically with the fundamental properties of symmetry and periodicity of crystals, topological properties of crystal structures, twins, modular and modulated structures, polytypes and OD structures, as well as the symmetry aspects of phase

What is mathematical crystallography?

Mathematical crystallography is based on the conception that the particles forming the crystal lattice are arranged in an ordered, periodic three-dimensional configuration

Crystals grown under equilibrium conditions have the form of regular convex polyhedra with some sort of symmetry

Crystallography, mathematical The totality of methods for describing the external forms of crystals and their internal spatial structure. Mathematical crystallography is based on the conception that the particles forming the crystal lattice are arranged in an ordered, periodic three-dimensional configuration.

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