* Warren D Smith <warren.wds@gmail.com> [Jun 22. 2015 18:42]:
[...]
It seems clear Pisot and Salem numbers have a lot to do with both recursive tilings and quasicrystals. But I certainly do not fully understand any of these things.
For a tiling for each Pisot number, see the (second) image at https://en.wikipedia.org/wiki/Rauzy_fractal The image shows how to make a tiling of the plane with _cubic_ Pisot numbers. I'd really like to know the answer for the following: Would 4th degree Pisot numbers give tilings of the 3D space? (I think so, as all but one dimension "survive" the projection). I know nothing about quasi-crystals, not even whether the Rauzy fractal is some kind of a quasi-crystal. Best regards, jj
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