Cohomology Groups for Spaces of Twelve-Fold Tilings
نویسندگان
چکیده
Abstract We consider tilings of the plane with twelve-fold symmetry obtained by cut-and-projection method. compute their cohomology groups using techniques introduced in [ 9]. To do this, we completely describe window, orbits lines under group action, and 0-singularities. The complete family generalized can be described two-parameters it presents a surprisingly rich cohomological structure. put this finding into perspective, one should compare our results five-fold (more commonly known as Penrose tilings). In case, form one-parameter family, which fits simply two types cohomology.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab117