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Matematicheskie Zametki, 2010, Volume 88, Issue 1, Pages 97–104
DOI: https://doi.org/10.4213/mzm5251 (Mi mzm5251) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Heesch Number for the Hyperbolic Plane

A. S. Tarasov

Institute of Systems Analysis, Russian Academy of Sciences
Full-text PDF (461 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm5251
Abstract: We prove that there exists a polygon with arbitrary Heesch number on the hyperbolic plane.
Keywords: hyperbolic plane, polygon, Heesch number, tiling, corona of a tiling, Schläfli symbol.
Received: 19.06.2008
Revised: 03.02.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 1, Pages 97–102
DOI: https://doi.org/10.1134/S0001434610070096
Bibliographic databases:
Document Type: Article
UDC: 514.1
Language: Russian
Citation: A. S. Tarasov, “On the Heesch Number for the Hyperbolic Plane”, Mat. Zametki, 88:1 (2010), 97–104; Math. Notes, 88:1 (2010), 97–102
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm5251
  • https://doi.org/10.4213/mzm5251
  • https://www.mathnet.ru/eng/mzm/v88/i1/p97
    • This publication is cited in the following 3 articles:
    1. Basic B., Slivkova A., “Asymptotical Unboundedness of the Heesch Number in E-D For D -> Infinity”, Discret. Comput. Geom., 67:1 (2022), 328–337  crossref  mathscinet  isi
    2. Basic B., “A Figure With Heesch Number 6: Pushing a Two-Decade-Old Boundary”, Math. Intell., 43:3 (2021), 50–53  crossref  mathscinet  isi  scopus
    3. Basic B., “the Heesch Number For Multiple Prototiles Is Unbounded”, C. R. Math., 353:8 (2015), 665–669  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Abstract page:675
    Full-text PDF :366
    References:53
    First page:19
     
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