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文章基本信息

  • 标题:Polyhedra and packings from hyperbolic honeycombs
  • 作者:Martin Cramer Pedersen ; Stephen T. Hyde
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:2018
  • 卷号:115
  • 期号:27
  • 页码:6905-6910
  • DOI:10.1073/pnas.1720307115
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:We derive more than 80 embeddings of 2D hyperbolic honeycombs in Euclidean 3 space, forming 3-periodic infinite polyhedra with cubic symmetry. All embeddings are “minimally frustrated,” formed by removing just enough isometries of the (regular, but unphysical) 2D hyperbolic honeycombs
  • 关键词:hyperbolic geometry ; nets ; minimal surfaces ; graph embeddings ; symmetry groups
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