Precise determination of the fractal dimensions of Apollonian packing and space-filling bearings

DOI10.1088/0305-4470/24/9/006zbMath0738.52022OpenAlexW2045496141MaRDI QIDQ3978199

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Publication date: 25 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/9/006

zbMATH Keywords

fractal dimensionApollonian packingspace-filling bearings

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Fractals (28A80)

Related Items (12)

Plato, Apollonius, and Klein: Playing with spheres ⋮ Pattern formation by growing droplets: The touch-and-stop model of growth ⋮ Expanding topological space, study and applications ⋮ Modeling spatial networks by contact graphs of disk packings ⋮ The residual set dimension of a generalized Apollonian packing ⋮ Morphological decomposition of sandstone pore-space: fractal power-laws ⋮ Fractional boundary for the Gott-Hiscock string ⋮ SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS ⋮ PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET ⋮ A Conjecture on the Hausdorff Dimension of Attractors of Real Self-Projective Iterated Function Systems ⋮ CUTTING SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS ⋮ Multifractality of space-filling bearings and Apollonian packings

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