1992Philosophical Magazine LettersRequires access

Quasiperiodic lattice and crystallography in four-dimensional space

Wang Shaoqing, Hengqiang Ye

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Abstract

Quasiperiodicity related to four-dimensional space has been explored. A new method of generating quasiperiodic Penrose tilings and other quasiperiodic lattices is put forward. The method used here can easily be extended to other higher-dimensional spaces.

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What this paper is about

Quasiperiodicity related to four-dimensional space has been explored. A new method of generating quasiperiodic Penrose tilings and other quasiperiodic lattices is put forward. The method used here can easily be extended to other higher-dimensional spaces.

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Available abstract

Quasiperiodicity related to four-dimensional space has been explored. A new method of generating quasiperiodic Penrose tilings and other quasiperiodic lattices is put forward. The method used here can easily be extended to other higher-dimensional spaces.

Key concepts: Quasiperiodic function, Quasiperiodicity, Quasicrystal, Lattice (music), Space (punctuation), Crystal structure, Penrose tiling, Crystallography

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