Arithmetic-analytical expression of the Koch-type curves and their generalizations. I

DOI10.1007/s10255-015-0522-0zbMath1338.28010OpenAlexW1905162470MaRDI QIDQ277118

Guang-jun Yang, Xiao-ling Yang

Publication date: 4 May 2016

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-015-0522-0

zbMATH Keywords

analytical transformationarithmetic-analytical expressionbinary expansion seriesfamily of Koch-type curvesstitched curve

Mathematics Subject Classification ID

Fractals (28A80) Analytic and descriptive geometry (51N99)

Cites Work

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• Fractal interpolation on the Koch curve
• The Koch curve as a smooth manifold
• Space-filling curves
• On the classification of self-similar sets determined by two contractions on the plane.
• A TUBE FORMULA FOR THE KOCH SNOWFLAKE CURVE, WITH APPLICATIONS TO COMPLEX DIMENSIONS
• VON KOCH AND THUE-MORSE REVISITED
• GENERALIZATIONS OF THE KOCH CURVE
• The taming of a monster: a parametrization of the von Koch Curve
• WHEN THUE-MORSE MEETS KOCH