Minimal Peano curve

DOI10.1134/S0081543808040172zbMath1201.37061MaRDI QIDQ735638

Evgeny V. Shchepin, Konstantin E. Bauman

Publication date: 23 October 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fractal genussquare-to-linear ratioPeano curves

Mathematics Subject Classification ID

Fractals (28A80) Curves in Euclidean and related spaces (53A04) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

Attainment of maximum cube-to-linear ratio for three-dimensional Peano curves ⋮ Search of fractal space-filling curves with minimal dilation ⋮ Minimal self-similar Peano curve of genus \(5 \times 5\) ⋮ \(L_\infty\)-locality of three-dimensional Peano curves ⋮ One-side Peano curves of fractal genus 9

Cites Work

• The dilation factor of the Peano-Hilbert curve
• Unnamed Item

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