CUTTING SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS

DOI10.1142/S0218348X18500135zbMath1432.05027arXiv1609.03811OpenAlexW2518986378MaRDI QIDQ5219662

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Publication date: 12 March 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03811

zbMATH Keywords

fractal dimensionpacking of spheresself-similar packingspace-filling packingfractal packingrandom cut

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Combinatorial aspects of packing and covering (05B40)

Related Items (2)

SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS ⋮ PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET

Cites Work

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• SELF-SIMILAR SPACE-FILLING PACKINGS IN THREE DIMENSIONS
• THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING
• The Sequence of Radii of the Apollonian Packing
• Precise determination of the fractal dimensions of Apollonian packing and space-filling bearings
• Space-filling bearings
• Generalization of space-filling bearings to arbitrary loop size
• The residual set dimension of the Apollonian packing
• SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS
• The Osculatory Packing of a Three Dimensional Sphere

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