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Trading spaces: building three-dimensional nets from two-dimensional tilings

We construct some examples of finite and infinite crystalline three-dimensional nets derived from symmetric reticulations of homogeneous two-dimensional spaces: elliptic (S(2)), Euclidean (E(2)) and hyperbolic (H(2)) space. Those reticulations are edges and vertices of simple spherical, planar and h...

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Main Authors: Castle, Toen, Evans, Myfanwy E., Hyde, Stephen T., Ramsden, Stuart, Robins, Vanessa
格式: Artigo
語言:Inglês
出版: The Royal Society 2012
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在線閱讀:https://ncbi.nlm.nih.gov/pmc/articles/PMC3438570/
https://ncbi.nlm.nih.gov/pubmed/24098839
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rsfs.2011.0115
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