I apologize in advance for how vague this request is.


A few weeks ago, I came upon a paper that (if I recall correctly) proves that **the hull of a cut-and-project tiling is a fiber bundle over a torus**. This is *not* the paper by Sadun cited below, but rather it specifically deals with cut-and-project tilings. If I recall correctly, it was published in a journal of physics, or the author was a physicist. I don't recall the name being one of the "big names" in tiling spaces (like Bellisard, Forrest, Hunton, Kellendonk, Putnam, etc.). I am interested mainly in the methods that they used in the paper, and not the result itself. Sadly, the computer on which I found the paper died shortly after I found it and I lost everything related to that paper. I have no author name, no paper title, and very vague search terms to go off of in my hunt.


Edit: it might be that the result I'm thinking of is actually related to something with bounded displacement rather than the hull being a fiber bundle.


Does anyone happen to have any idea what paper this might be?


***References***


*Sadun, Lorenzo; Williams, R. F.*, [**Tiling spaces are Cantor set fiber bundles.**](https://doi.org/10.1017/S0143385702000949), Ergodic Theory Dyn. Syst. 23, No. 1, 307-316 (2003). [ZBL1038.37014](https://zbmath.org/?q=an:1038.37014).



Reference request: Cut-and-project method gives rise to a fiber bundle over the torus
I have found the sought-after paper. It was *Duneau, M., and Christophe O.* "Displacive transformations and quasicrystalline symmetries." Journal de Physique 51.1 (1990): 5-19.


In section 3, they show that a cut and project pattern can be mapped onto a lattice by what they call (but never define) a "modulation".


