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Matematicheskie Zametki, 2006, Volume 80, Issue 5, Pages 643–656
DOI: https://doi.org/10.4213/mzm3074 (Mi mzm3074) 		 
This article is cited in 37 scientific papers (total in 37 papers)

The dilation factor of the Peano–Hilbert curve

K. E. Bauman

M. V. Lomonosov Moscow State University
Full-text PDF (479 kB) Citations (37)
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DOI: https://doi.org/10.4213/mzm3074
Abstract: It is proved that the maximum value of the ratio $|p(x)-p(y)|^2/|x-y|$ for the Peano–Hilbert curve $p\colon[0,1]=I\to I^2$ is equal to 6.
Received: 03.04.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 5, Pages 609–620
DOI: https://doi.org/10.1007/s11006-006-0182-8
Bibliographic databases:
UDC: 514.8
Language: Russian
Citation: K. E. Bauman, “The dilation factor of the Peano–Hilbert curve”, Mat. Zametki, 80:5 (2006), 643–656; Math. Notes, 80:5 (2006), 609–620
Citation in format AMSBIB
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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