Growth of a One Dimensional Quasiperiodic Covering with Locally Determined Decorations

Details Growth of a One Dimensional Quasiperiodic Covering with Locally Determined Decorations Growth of a One Dimensional Quasiperiodic Covering with Locally Determined Decorations

2008-01-23

arxiv.org/abs/0801.3509v1

Physics

Mathematical Physics

5 pages, 3 figures

Scientific paper

A growth mechanism for a perfect one-dimensional (1D) quasiperiodic structure is presented with a local covering rule. We use rectangular tiles with two different types of string decorations. The string position in a tile is allowed to move when the tile is attached to an existing patch. By adjusting the position properly with local information, we show that a growth of perfect quasiperiodic structure is possible. This observation may provide new insight into how quasicrystals grow with perfect quasiperiodic order.

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