Tuesday, 31 March 2009

Aperiodic tilings

The F#.NET Journal just published an article about the generation and visualization of tilings using F#:

"Many sets of polygons can be used to tile an infinite 2D plane. The term "aperiodic tilings" is used informally to refer to tilings that are not periodic. Such tilings are not only of mathematical and scientific interest because they give rise to unexpected diffraction patterns when they appear in quasicrystalline materials but also because they are often beautiful and, consequently, have been used in ornamental decorations for centuries. This article describes a simple program that visualizes tilings using Windows Presentation Foundation where the tilings are described using generic rewrite rules implemented in terms of a .NET interface...."

To read this article and more, subscribe to The F#.NET Journal today!

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