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Izvestiya: Mathematics, 2002, Volume 66, Issue 3, Pages 443–462
DOI: https://doi.org/10.1070/IM2002v066n03ABEH000385 (Mi im385) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mosaics and their isometric embeddings

M. Dezaa, M. I. Shtogrinb

a Ècole Normale Supérieure, Département de mathématiques et applications
b Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (509 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM2002v066n03ABEH000385
Abstract: The main result of this paper is an enumeration (given in the Table) of all mosaics $T$ among the 165 mosaics presented in Chavey's catalogue [2] (which includes the most important classifications of mosaics) such that either $T$ or the dual mosaic $T^*$ is embeddable in $Z_n$ isometrically or with scale $\lambda=2$. We also study some interesting infinite-dimensional hypermetric spaces.
Received: 13.05.1999
Revised: 24.01.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 3, Pages 3–22
DOI: https://doi.org/10.4213/im385
Bibliographic databases:
Document Type: Article
UDC: 514.17+519.17
MSC: 52C23, 05C75
Language: English
Original paper language: Russian
Citation: M. Deza, M. I. Shtogrin, “Mosaics and their isometric embeddings”, Izv. RAN. Ser. Mat., 66:3 (2002), 3–22; Izv. Math., 66:3 (2002), 443–462
Citation in format AMSBIB
\Bibitem{DezSht02}
\by M.~Deza, M.~I.~Shtogrin
\paper Mosaics and their isometric embeddings
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 3
\pages 3--22
\mathnet{http://mi.mathnet.ru/im385}
\crossref{https://doi.org/10.4213/im385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1921807}
\zmath{https://zbmath.org/?q=an:1031.52007}
\elib{https://elibrary.ru/item.asp?id=14178740}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 3
\pages 443--462
\crossref{https://doi.org/10.1070/IM2002v066n03ABEH000385}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-23944517557}
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  • https://doi.org/10.1070/IM2002v066n03ABEH000385
  • https://www.mathnet.ru/eng/im/v66/i3/p3
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:514
    Russian version PDF:266
    English version PDF:4
    References:62
    First page:2
     
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