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The geometry of fractal percolation [PDF]
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
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From Fractal Geometry to Statistical Fractal
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
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NeutroGeometry and Fractal Geometry [PDF]
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
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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
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Conical Perspective and Fractal Theory:A Comparative and Contrastive Approach [PDF]
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
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Ethnomathematics: The exploration of fractal geometry in Tian Ti Pagoda using the Lindenmayer system
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
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Analysis of the relationship between dominant lithological features in the sub-basins of Zagros tectonic unit and their fractal dimension [PDF]
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
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Fractal Antennas: An Historical Perspective
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
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Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus
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
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Studying the status of fractal geometry in art and its appearance in artwork [PDF]
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
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