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Fractals: An Eclectic Survey, Part-I
Fractal and Fractional, 2022 Fractals are geometric shapes and patterns that may repeat their geometry at smaller or larger scales. It is well established that fractals can describe shapes and surfaces that cannot be represented by the classical Euclidean geometry.
Akhlaq Husain +3 more
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Fractals: An Eclectic Survey, Part II
Fractal and Fractional, 2022 Fractals are geometric shapes and patterns that can describe the roughness (or irregularity) present in almost every object in nature. Many fractals may repeat their geometry at smaller or larger scales.
Akhlaq Husain +3 more
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A new approach to fractals via best proximity point
Chaos, Solitons and Fractals, 2021 In this paper, we present a new approach to fractals through best proximity points, inspired by the remarkable relationship between fixed point theory and fractal theory.
Ishak Altun +2 more
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A Generalization of the Hausdorff Dimension Theorem for Deterministic Fractals
Mathematics, 2021 How many fractals exist in nature or the virtual world? In this paper, we partially answer the second question using Mandelbrot’s fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure.
Mohsen Soltanifar
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Computers & Graphics, 2007 Impossible objects are a type of optical illusion involving ambiguous visual descriptions of figures that cannot physically exist. It is shown by way of example that such objects can be further developed using standard fractal techniques to create new ...
Browne, Cameron B.
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Two-dimensional coronene fractals: modified reverse degree indices, comparative analysis of information entropy and predictive modeling of spectral properties [PDF]
Frontiers in ChemistryTopological characterization through graph-theoretical methods translates chemical and structural data into quantitative values that represent the molecular system.
A. R. Abul Kalaam, A. Berin Greeni
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Scattering from surface fractals in terms of composing mass fractals [PDF]
Journal of Applied Crystallography, 2017 It is argued that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of a surface fractal is shown to be a sum of the amplitudes of the ...
Eugen Mircea Anitas, Alexander I Kuklin
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Black hole information turbulence and the Hubble tension [PDF]
Scientific ReportsFractals are complex geometric patterns whose structure look similar at different scales of magnification. Examples of fractals in astrophysics are diverse: the cosmic microwave background (CMB) or the distribution of matter in the universe show patterns
Juan Luis Cabrera Fernández
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Pseudoinversion Fractals [PDF]
, 2016 In this paper, we present some modifications of inversion fractals. The first modification is based on the use of different metrics in the inversion transformation. Moreover, we propose a switching process between different metric spaces.
Krzysztof Gdawiec, Gdawiec, Krzysztof
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