How Do Icosahedral Quasi-Crystals Differ from Polygonal Quasicrystals?

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SUMMARY

Icosahedral quasi-crystals exhibit unique properties that distinguish them from polygonal quasicrystals, primarily due to their rotational symmetry. The key difference lies in the icosahedral symmetry, which allows for a non-repeating pattern that cannot be tiled periodically, unlike polygonal quasicrystals. For a deeper understanding of these properties, refer to "Atomic and Electronic Structure of Solids" by Efthimios Kaxiras, which provides valuable insights into the structure of icosahedral crystals.

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peterjaybee
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Hello,

Please could someone explain what properties an icosahedral quasi crystal has which make it differ from a polygonal quasicrystal. (I assume it has something to do with rotational symmetry)

Regards,
Peter
 
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reffer to the book "atomic and electronic structure of solids" by efthimios kaxiras

there you can find a brief but useful description of icosahedral crystals..

hope it helps
 

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