4/9/11

Why 5 fold symmetry is a problem?

As we know from the lecture that the symmetry axis of 1,2,3,4,6 fold exist in a periodic lattice . However, when we try 5 or 7 fold symmetry to construct a periodic lattice,it is hard to do it. the reason for this ,is can not fill the area of plane with a connected array of pentagons.

3 comments:

  1. it is impossible to construct a crystal with 5 fold symmetry.

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  2. you're wrong Negar. It's possiple to have % fold symmetry to construct a crystal that we I know more in the Quasicrystal part.

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  3. I'm sorry. I made i mistake. It's "5 fold" instead "% fold" in my comment.

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