Negatively curved graphite and triply periodic minimal surfaces

@article{Terrones1994NegativelyCG,
  title={Negatively curved graphite and triply periodic minimal surfaces},
  author={Humberto Terrones and Alan Lindsay Mackay},
  journal={Journal of Mathematical Chemistry},
  year={1994},
  volume={15},
  pages={183-195}
}
The Weierstrass representation has been used to construct negatively curved graphite in which atoms rest no a perfect triply periodic minimal surface. By applying the Bonnet transformation on a patch of the D surface decorated with graphite we have been able to construct the Gyroid and P minimal surfaces. Curvatures, densities and lattice parameters have been calculated. It has been found that the maximum Gaussian curvature for our negatively curved structures is less in magnitude than the… 
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