Construction of Negatively Curved Cubic Carbon Crystals via Standard   Realizations
  We constructed physically stable sp2 negatively curved cubic carbon structures which reticulate a Schwarz P-like surface. The method for constructing such crystal structures is based on the notion of the standard realization of abstract crystal lattices. In this paper, we expound on the mathematical method to construct such crystal structures. 
Hisashi Naito
cond-mat.mtrl-sci math.DG