A Single Cluster Covering for Dodecagonal Quasiperiodic Ship Tiling

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2013,（2）
• 页码范围: 174-177
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/30/2/026102

摘要

Quasicrystals are solids with long-range positional order and orientational order,but non-periodic translational order.[l,2] In the quasicrystals,5-fold,8-fold,[3]10-fold[4] and 12-fold[5] rotational symmetries may appear,which are forbidden in ordinary crystals.Unlike periodic crystals,which can be constructed from one simple unit cell,an ideal quasicrystal is often modeled as a tiling with two or more distinct building blocks.In the 2D case,the most renowned model is Penrose tiling,[6] which comprises fat and thin rhombuses subject to particular matching rules that constrain the ways neighboring rhombuses join together edge-to-edge,coercing them into a fivefold-symmetric pattern.