Periodic minimal surfaces

  title={Periodic minimal surfaces},
  author={Alan Lindsay Mackay},
  • A. Mackay
  • Published 1 April 1985
  • Mathematics
  • Nature
A minimal surface is one for which, like a soap film with the same pressure on each side, the mean curvature is zero and, thus, is one where the two principal curvatures are equal and opposite at every point. For every closed circuit in the surface, the area is a minimum. Schwarz1 and Neovius2 showed that elements of such surfaces could be put together to give surfaces periodic in three dimensions. These periodic minimal surfaces are geometrical invariants, as are the regular polyhedra, but the… 
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