Attainment of maximum cube-to-linear ratio for three-dimensional Peano curves

The class of so-called q -adic Peano curves is defined, which is large enough to include the polyfractal curves. The cube-to-linear ratio for this class attains its maximum value, which can be effectively determined by an exhaustive search implementable on modern computers.

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Bibliographic Details
Published in:Mathematical Notes 2015-11, Vol.98 (5-6), p.971-976
Main Author: Shchepin, E. V.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:The class of so-called q -adic Peano curves is defined, which is large enough to include the polyfractal curves. The cube-to-linear ratio for this class attains its maximum value, which can be effectively determined by an exhaustive search implementable on modern computers.
ISSN:0001-4346
1573-8876
DOI:10.1134/S0001434615110292