jFAT: A Fairly Accurate Tiling Library

 

The jFAT Java library makes it simple to create tiles (2D shapes) and write code to have them cover the screen. A few examples are shown below, with more in the download.

[examples PIC]
[more examples PIC]

The last four examples use jFAT's built-in tiling functions, which account for the "fairly accurate" part of the library's name - the tessellations involving the Escher-style lizards, the carpeted equilateral triangles, and the Penrose P2 tiles (the dart and the kite) include gaps which should not be present.

There are various reasons for these spaces: the first two suffer from inaccuracies in the definition of their tile images, but the openings in the Penrose tessellation point to a more complex problem related to backtracking, which I discuss in the paper.

 

Downloads


Dr. Andrew Davison
E-mail: ad@fivedots.coe.psu.ac.th
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