These tiny structures could offer architectural designs for the
cities of the future. The authors explore the foam-like carbon
structures, which relate to schwarzites and which are infinite
periodic minimal surfaces of negative curvature. They show that the
periodicity of close repeat units of such structures is evident not
only in these formations but also in all of the carbon allotropes.
The text provides literature and data on the field of nanostructure
periodicity and the authors own results on nanostructure building
and energy calculations.
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