On the geometrization of the Peano curve and the arithmetization of the Hilbert curve

DOI10.1080/0020739920230309zbMath0776.28006OpenAlexW1980180600MaRDI QIDQ4696986

Hans Sagan

Publication date: 29 June 1993

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739920230309

zbMATH Keywords

space-filling curvePeano curveHilbert curvearithmetic-analytic definitionevaluation by computer

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Vertex-labeling algorithms for the Hilbert spacefilling curve ⋮ An analytic proof of the nowhere differentiability of Hilbert's space- filling curve ⋮ Finding keys to the Peano curve ⋮ The minimum plane path for movable end-points and the nonsimultaneous variations ⋮ Variational problems with moving boundaries using decomposition method ⋮ Delicate Details of Filling Space ⋮ A geometrization of Lebesgue's space-filling curve

Cites Work

• Some reflections on the emergence of space-filling curves: The way it could have happened and should have happened, but did not happen
• Approximating Polygons for Lebesgue's and Schoenberg's Space Filling Curves
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