Geodesic
Attainment of Maximum Cube-to-Linear Ratio for Three-Dimensional Peano Curves
Matematičeskie zametki, Tome 98 (2015) no. 6, pp. 923-929

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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.
Keywords: three-dimensional Peano curve, $q$-adic Peano curve, fractal Peano curve, cube-to-linear ratio, square-to-linear ratio.
Mots-clés : polyfractal Peano curve, fractal genus 
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     author = {E. V. Shchepin},
     title = {Attainment of {Maximum} {Cube-to-Linear} {Ratio} for {Three-Dimensional} {Peano} {Curves}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {923--929},
     publisher = {mathdoc},
     volume = {98},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_6_a11/}
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E. V. Shchepin. Attainment of Maximum Cube-to-Linear Ratio for Three-Dimensional Peano Curves. Matematičeskie zametki, Tome 98 (2015) no. 6, pp. 923-929. http://geodesic.mathdoc.fr/item/MZM_2015_98_6_a11/