Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2005, Volume 77, Issue 1, Pages 117–120
DOI: https://doi.org/10.4213/mzm2474 (Mi mzm2474) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A short proof of the twelve-point theorem

D. Repovša, M. B. Skopenkovb, M. Cencelja

a University of Ljubljana
b M. V. Lomonosov Moscow State University
Full-text PDF (193 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm2474
Abstract: We present a short elementary proof of the following twelve-point theorem. Let $M$ be a convex polygon with vertices at lattice points, containing a single lattice point in its interior. Denote by $m$ (respectively, $m^*$) the number of lattice points in the boundary of $M$ (respectively, in the boundary of the dual polygon). Then $m+m^*=12$.
Received: 29.06.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 1, Pages 108–111
DOI: https://doi.org/10.1007/s11006-005-0010-6
Bibliographic databases:
UDC: 514
Language: Russian
Citation: D. Repovš, M. B. Skopenkov, M. Cencelj, “A short proof of the twelve-point theorem”, Mat. Zametki, 77:1 (2005), 117–120; Math. Notes, 77:1 (2005), 108–111
Citation in format AMSBIB
\Bibitem{RepSkoCen05}
\by D.~Repov{\v s}, M.~B.~Skopenkov, M.~Cencelj
\paper A short proof of the twelve-point theorem
\jour Mat. Zametki
\yr 2005
\vol 77
\issue 1
\pages 117--120
\mathnet{http://mi.mathnet.ru/mzm2474}
\crossref{https://doi.org/10.4213/mzm2474}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158702}
\zmath{https://zbmath.org/?q=an:1077.52507}
\elib{https://elibrary.ru/item.asp?id=9140727}
\transl
\jour Math. Notes
\yr 2005
\vol 77
\issue 1
\pages 108--111
\crossref{https://doi.org/10.1007/s11006-005-0010-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227418800010}
\elib{https://elibrary.ru/item.asp?id=13493588}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-20144376733}
Linking options:
  • https://www.mathnet.ru/eng/mzm2474
  • https://doi.org/10.4213/mzm2474
  • https://www.mathnet.ru/eng/mzm/v77/i1/p117
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024