Tuesday, April 24, 2007

Another large Torus and the orgin of pentagon patterns

Here is another large chiral Torus I made a few months ago. It is easy to see the two pattern of pentagons: a smaller one formed by grey beads and a large one formed by the beads with orange color.




I have designed this torus such that the pentagonal patterns formed by the beads can be vividly shown with different colors I chose. These pentagonal patterns are hidden when the typical ball-and-stick models are used to represent the corresponding fullerenes. It appears only in the bead-representation of the fullerenes. The reason is that the beads, located at the center of bonds, form a straight line in the beaded model even though the bonds in the ball-and-stick model exhibit zig-zag pattern.

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