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The geometry of fractal percolation [PDF]

open access: yes, 2013
A well studied family of random fractals called fractal percolation is discussed. We focus on the projections of fractal percolation on the plane.
BB Mandelbrot   +12 more
core   +2 more sources

From Fractal Geometry to Statistical Fractal

open access: yesRecoletos Multidisciplinary Research Journal, 2013
The development from fractal geometry to fractal statistics was established in this paper. Interesting features such as self similarity, scale invariance, and the spacefilling property of objects (fractal dimension) of fractal geometry provided an ...
Roberto N. Padua, Mark S. Borres
doaj   +2 more sources

NeutroGeometry and Fractal Geometry [PDF]

open access: yesNeutrosophic Sets and Systems
Geometries are structures with certain elements like points, lines, planes, and spaces, among others, that satisfy certain definitions, axioms, properties, and theorems for the total of the elements. NeutroGeometries are geometric structures that meet at
Florentin Smarandache   +3 more
doaj   +2 more sources

Ethnomathematics: Exploration of Fractal Geometry in Gate Ornaments of the Sumenep Jamik Mosque Using the Lindenmayer System

open access: yesIndonesian Journal of Science and Mathematics Education, 2023
Jamik Sumenep Mosque, a heritage site of the Sumenep Kingdom, was built to emphasize the acculturation of Chinese, Islamic, and Madurese cultures. This ethnomathematics research aims to reveal and explore the fractal geometry forms in the gateway of ...
Muhammad Zia Alghar, Marhayati Marhayati
doaj   +1 more source

Conical Perspective and Fractal Theory:A Comparative and Contrastive Approach [PDF]

open access: yesAnastasis: Research in Medieval Culture and Art, 2022
This paper explores a possible connection between Euclidean geometry, which lies at the basis of conical perspective, and fractal geometry, which could, in turn, generate a new system of spatial representation in art. Founded by Renaissance theorists and
Daniel Sofron
doaj   +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

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