Bridges 2012 Short Paper
Beaded Realization of Canonical P, D, and G Triply Periodic Minimal Surfaces
(Proceedings pages 503–506)
Schwarz's P and D and Schoen's Gyroid surfaces are canonical, triply
periodic, minimal surfaces widely recognized in nature and in the
scientific community. Here we present theoretical chemical analogies
of these three surfaces in the context of nano-carbon structures.
Based on the traditional beading techniques that we have previously
shown to be suited for creating various chemical structures, we
constructed the beaded models of these chemical structures and thus
the underlying mathematical surfaces. Moreover, due to the intricacies
of the surfaces's geometries and topologies, especially for the G
surface, we developed a useful technique of dividing these surfaces
into one dimensional strips, whose beading procedures are much
easier to follow and can be parallelized.