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I just rewrote a 1993 program of mine from Turbo Pascal to Mathematica 7 (and streamlined it). The quasiperiodic tiles due to Penrose can be obtained by projecting certain unit two-dimensional squares with integer coordinates of all vertices - those that belong to a certain "strip" - from a five-dimensional space into a two-dimensional subplane inside the strip (the plane is an eigenspace under the cyclic permutations of coordinates).
Download the Mathematica notebookThe Mathematica version of the program seems to be much more comprehensible than the Turbo Pascal edition.
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