A Conjecture on the Hausdorff Dimension of Attractors of Real Self-Projective Iterated Function Systems

DOI10.1080/10586458.2014.987884zbMath1404.28009OpenAlexW1576258841WikidataQ122942087 ScholiaQ122942087MaRDI QIDQ2813816

Roberto De Leo

Publication date: 27 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2014.987884

zbMATH Keywords

Hausdorff dimensionSierpiński gasketApollonian gasketreal self-projective iterated function systemsself-affine iterated function systems

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Fractals (28A80) Projective differential geometry (53A20) Hausdorff and packing measures (28A78)

Related Items (2)

PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET ⋮ An asymptotic formula for integer points on Markoff-Hurwitz varieties

Cites Work

• Unnamed Item
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• Integral Apollonian Packings
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• Fractal Properties of Generalized Sierpiński Triangles
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• The Euler-Gergonne-Soddy Triangle of a Triangle
• A Tale of Two Fractals
• The Rauzy Gasket
• The Apollonian Packing of Circles
• The Problem of Apollonius
• On the Exponent of an Osculatory Packing
• Lower bounds for the disk packing constant

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