The Hausdorf dimension of the Apollonian packing of circles

DOI10.1088/0305-4470/27/7/007zbMath0839.52010OpenAlexW2004847852MaRDI QIDQ4861974

Peter B. Thomas, Deepak Dhar

Publication date: 12 February 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/7/007

zbMATH Keywords

eigenvalue problemHausdorff dimensionlinear integral equationApollonian packing of circles

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Hausdorff and packing measures (28A78) Linear integral equations (45A05)

Related Items (6)

Apollonian circle packings: Number theory ⋮ The residual set dimension of a generalized Apollonian packing ⋮ On the Hausdorff dimension of the residual set of a packing by smooth curves ⋮ PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET ⋮ A Conjecture on the Hausdorff Dimension of Attractors of Real Self-Projective Iterated Function Systems ⋮ What Type of Apollonian Circle Packing Will Appear?

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