The wonderful world of beaded fullerenes
After some more examination of the model of gyroidal graphenoid, I found that there is a convenient threading algorithm for its beading representation. Because one unit cell of the gyroid may be divided into three pieces layering on the (1,1,1) direction of the cell. In this sense, we can first finish these three pieces separately and combine them together in the last. Notice that every piece is like a (big) benzene surrounded by six octagons.
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