Results 11 to 20 of about 1,471,642 (284)

An Overview of Fractal Geometry Applied to Urban Planning

open access: yesLand, 2022
Since computing advances in the last 30 years have allowed automated calculation of fractal dimensions, fractals have been established as ubiquitous signatures of urban form and socioeconomic function.
Fatemeh Jahanmiri, D. Parker
semanticscholar   +1 more source

Assouad Dimension and Fractal Geometry [PDF]

open access: yes, 2020
The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book, written by a world expert on the topic, is the first thorough account of the Assouad dimension and its many variants
J. Fraser
semanticscholar   +1 more source

Ethnomathematics: The exploration of fractal geometry in Tian Ti Pagoda using the Lindenmayer system

open access: yesAlifmatika, 2023
This study explores the concept of fractal geometry found in the Tian Ti Pagoda. Fractal geometry is a branch of mathematics describing the properties and shapes of various fractals.
Muhammad Zia Alghar   +2 more
doaj   +1 more source

Analysis of the relationship between dominant lithological features in the sub-basins of Zagros tectonic unit and their fractal dimension [PDF]

open access: yesجغرافیا و توسعه, 2022
Fractal geometry is a suitable instrument for studying and understanding the complex behavior of a river. The most important feature of the fractal is its dimension.
Gholam hassan Jafari, Kazhal Qafoori
doaj   +1 more source

Fractal Antennas: An Historical Perspective

open access: yesFractal and Fractional, 2020
Fractal geometry has been proven to be useful in several disciplines. In the field of antenna engineering, fractal geometry is useful to design small and multiband antenna and arrays, and high-directive elements.
Jaume Anguera   +7 more
doaj   +1 more source

Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus

open access: yesEntropy, 2023
This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman   +2 more
doaj   +1 more source

Studying the status of fractal geometry in art and its appearance in artwork [PDF]

open access: yesپیکره, 2015
Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry.
Mahtab Mobini, Nooshin Fatholahi
doaj   +1 more source

Fractal geometry of spin-glass models [PDF]

open access: yes, 2001
Stability and diversity are two key properties that living entities share with spin glasses, where they are manifested through the breaking of the phase space into many valleys or local minima connected by saddle points.
Amitrano C   +18 more
core   +5 more sources

On the relationship of fractal geometry and tree–stand metrics on point clouds derived from terrestrial laser scanning

open access: yesMethods in Ecology and Evolution, 2020
Fractals have been widely used to determine bifurcation patterns in trees or to analyse the homeostasis of the development of plants to different environments. In a few instances, fractals have been used to predict tree or stand metrics. Here, we explore
J. Guzmán Q.   +3 more
semanticscholar   +1 more source

Design of a wideband terahertz metamaterial absorber based on Pythagorean-tree fractal geometry

open access: yes, 2020
Broadband absorption in the terahertz regime is a challenge and onerous to realize with a single layer metasurface. Self-similarity in fractal structures are exploiting metamaterial characteristics that offer a promising platform to design wideband ...
R. Bilal   +4 more
semanticscholar   +1 more source

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