（I should ask Fan to comment on this point.）
This also remind me of the algorithm Fan used to generate the carbon nanotube by imagining that SWNT is made of polyacetylene. Secondly, the more striking thing is that the whole torus may only contain one strip, which is similar to the Mobius strip. Firstly, if we loose the patching constraint (boundary condition), there could be many different tori that we can obtain. If the nanotube is either armchair or zigzag, we can view the resulting torus as consisting of many parallel armchaired or zigzagged strips.īut if the nanotube is either chiral or twisted zigzag (armchair), the situation is quite interesting from topological point of view. Most people have discussed the simplest situation that does not allow the twisting of the nanotube.
#Triply twistit mobius space Patch
I mentioned that there are several possible ways to patch the two ends of a nanotube into a circular torus.
=(REPOST)=Ī few months agos, I have a discussion with Chuang on the toroidal carbon nanotubes consisted only hexagons. Here is some discussions I wrote in my group blog on April 7, 2007. Mou asked me about the possiblity of making Mobius-like toroidal structures.
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