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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 275, Pages 55–67 (Mi tm3336)  
This article is cited in 3 scientific papers (total in 3 papers)

One-side Peano curves of fractal genus $9$

K. E. Bauman

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (196 kB) Citations (3)
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Abstract: This paper completes the analysis (begun by E. V. Shchepin and the author in 2008) of regular Peano curves of genus $9$ in search of a curve with the minimum square-to-linear ratio. One-side regular Peano curves of genus $9$ are considered, and, among these curves, a class of minimal curves with a square-to-linear ratio of $5\frac 23$ is singled out. A new language to describe curves is introduced which significantly simplifies the coding of these curves.
Received in April 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 275, Pages 47–59
DOI: https://doi.org/10.1134/S0081543811080037
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: K. E. Bauman, “One-side Peano curves of fractal genus $9$”, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth, Trudy Mat. Inst. Steklova, 275, MAIK Nauka/Interperiodica, Moscow, 2011, 55–67; Proc. Steklov Inst. Math., 275 (2011), 47–59
Citation in format AMSBIB
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\by K.~E.~Bauman
\paper One-side Peano curves of fractal genus~$9$
\inbook Classical and modern mathematics in the wake of Boris Nikolaevich Delone
\bookinfo Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth
\serial Trudy Mat. Inst. Steklova
\yr 2011
\vol 275
\pages 55--67
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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