Sunday, December 4, 2011

Two holes in a C60

There are three distinct ways to drill two holes in a C60, which can be specified by the smallest number of non-disrupted hexagons between two pentagons:
a. The shortest separation between two pentagons we can drill is one hexagon.
b. The next one is two pentagons separated by two hexagons.
c.The third one is two holes located at antipodal position.
We can see in the case (a) two octagons are created at the position of original hexagon. In addition to this octagon, there are eight other heptagons surrounding these two holes. Using this Shlegel diagram, one can easily figure out the resulting connectivity diagram when holes are introduced in the original C60.

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