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.

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

• The jFAT paper (4.84 MB). Last updated: 13th June 2022.
  jFAT is explained through numerous example.
   
• Zipped code (244 KB). Last updated: 13th June 2022.
  This contains the jFAT library as a JAR file, and many examples (most of which are described in the paper).