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math.DG2016
A Discrete Surface Theory
Motoko Kotani, Hisashi Naito, Toshiaki Omori
In the present paper, we propose a new discrete surface theory on 3-valent embedded graphs in the 3-dimensional Euclidean space which are not necessarily discretization or approxim…
cond-mat.mtrl-sci2016
Construction of Negatively Curved Cubic Carbon Crystals via Standard Realizations
Hisashi Naito
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 bas…