To answer Fred's question: we have something like ten thousand coord sequences for 3-D crystals (mostly periodic structures, naturally) there are maybe a dozen that arise from planar aperiodic tilings (Penrose, as Brad discovered, Ammann-Beenker, and a few others) But IIRC we don't have any for 3-D Penrose-type structures. Wish we did! We do have a lot from this web site: Reticular Chemistry Structure Resource (RCSR), http://rcsr.net and also from the ToposPro web site: http://www.topospro.com On Mon, Jan 6, 2020 at 4:02 PM Fred Lunnon <fred.lunnon@gmail.com> wrote:
Has anybody considered coordination trees (as it were) for aperiodic tilings (sic --- prefer quasi-crystallographic!), such as planar Penrose rhombs and its generalisations to solid honeycombs?
I gather that these might be of interest to crystallographers, without understanding details of the applications.
WFL
On 1/6/20, Tom Karzes <karzes@sonic.net> wrote:
Neil, do you have coordination sequences for all of the Platonic/Archimedean/Catalan solids? Those seem like the most fundamental ones for polyhedra. I could probably generate them without too much trouble if needed.
Tom
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