# Aperiodic approximants for relating quasicrystals and modulated structures

**URL:** <https://community.materialssquare.com/t/aperiodic-approximants-for-relating-quasicrystals-and-modulated-structures/469>\
**Category:** News\
**Created:** [July 12, 2024, 2:08pm UTC](https://community.materialssquare.com/t/aperiodic-approximants-for-relating-quasicrystals-and-modulated-structures/469 "2024-07-12T14:08:33Z")\
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**Author:** ![gabriele1](https://yyz1.discourse-cdn.com/flex003/user_avatar/community.materialssquare.com/gabriele1/32/20_2.png) [@gabriele1](https://community.materialssquare.com/u/gabriele1)\
**Post date:** [July 12, 2024, 2:08pm UTC](https://community.materialssquare.com/t/aperiodic-approximants-for-relating-quasicrystals-and-modulated-structures/469/1 "2024-07-12T14:08:33Z")

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Researchers at Tokyo Institute of Technology have developed a method to bridge the gap between quasicrystals and incommensurately (IC) modulated structures using aperiodic approximants. By arranging tiles in a honeycomb pattern based on metallic means, they created a structure that transitions from quasicrystalline to IC modulated as the metallic-mean ratio changes. This study enhances the understanding of aperiodic crystals and their domain wall structures, with potential applications in self-assembled soft-matter systems and materials science.

For more details, you can read the full article here:

> **[Aperiodic approximants for relating quasicrystals and modulated structures](https://www.eurekalert.org/news-releases/1050886)**
>
> By constructing hexagonal metallic-mean approximants of the honeycomb lattice, scientists from Tokyo Tech, Nagoya University, Toyota RIKEN, and Kindai University have linked incommensurately modulated structures and quasicrystals, two classes of...