I just found a free software application that creates Penrose tiling, which to me might make for an interesting way to create patterned floor tiles or unusually shaped buildings if you used the outline of the created shape only - a five pointed star-like shape.

Anyway, oddball software for tile generation, and free.

You can also download a PDF from the same link above that explains the math behind Penrose tiling and more.

I thought it was interesting.