Results 31 to 40 of about 164,476 (143)
Fractal Texture and Structure of Central Place Systems [PDF]
Fractals, 2020, 28(1): 2050008, 2017 The boundaries of central place models proved to be fractal lines, which compose fractal texture of central place networks. A textural fractal can be employed to explain the scale-free property of regional boundaries such as border lines, but it cannot be directly applied to spatial structure of real human settlement systems.
arxiv +1 more source
Energies, 2020 In this paper, a novel porous media permeability model is established by using particle model, capillary bundle model and fractal theory. The three-dimensional irregular spatial characteristics composed of two ideal particles are considered in the model.
Yongquan Hu +4 more
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Fractal Dimension of Digital 3D Rock Models with Different Pore Structures
Energies, 2022 The macroscopic physical properties of rocks are profoundly determined by their microstructure, and the research of accurately characterizing rock pore structure has been extensively carried out in the fields of petroleum engineering and geoscience ...
Xiaobin Li +3 more
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From rock microstructure to macromechanical properties based on fractal dimensions
Advances in Mechanical Engineering, 2019 Basic rock mechanical parameters, that is, the uniaxial compressive strength σ c and elastic modulus E , have close relationships with the fractal dimension and inhomogeneity.
Dongmei Huang +4 more
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Applied Sciences, 2021 In this work, the complex geometry of beams obtained from topology optimization is characterized through the fractal dimension (FD). The fractal dimension is employed as an efficiency measure of the mass distribution in the beams, that is, the capacity ...
Pablo Pavón-Domínguez +3 more
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PLoS ONE, 2020 Recent evidence suggests that the quantity and quality of conscious experience may be a function of the complexity of activity in the brain and that consciousness emerges in a critical zone between low and high-entropy states.
Thomas F Varley +8 more
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Fractal Analysis on Asphalt Mixture Using a Two-Dimensional Imaging Technique
Advances in Materials Science and Engineering, 2016 Fractal is a mathematical set that has a fractal dimension which usually exceeds its topological dimension and may be nonintegral. Since the asphalt pavement texture has limitations of randomness and self-similarity, fractal theory has been explored to ...
Yue Hou +3 more
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AIMS MathematicsThis paper attempts to explore possible box dimension of two added fractal continuous functions with the same dimension. Two interesting and meaningful results are obtained.
Ruhua Zhang , Wei Xiao
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On the dimension of arcs in mixed labyrinth fractals [PDF]
arXiv, 2021 Mixed labyrinth fractals are dendrites in the unit square introduced by Cristea and Steinsky. They were studied recently by Cristea and Leobacher with respect to the lengths of arcs in the fractals. In this article we first give a construction method for mixed labyrinth fractals with the property that all arcs in the fractal have box counting dimension
arxiv
Closed Contour Fractal Dimension Estimation by the Fourier Transform [PDF]
Chaos, Solitons and Fractals, Volume 44, Issue 10, October 2011,
Pages 851--861, 2012 This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour. The proposed method maps the fractal contour onto a complex signal and calculates its fractal dimension using the Fourier transform.
arxiv +1 more source