what is a fractal structure
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- Fractal. A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same type of structures must appear on all scales.A plot of the quantity on a log-log graph versus scale then gives a straight line, whose slope is said to be the fractal dimension. fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales.
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structure (Chemistry) chem the arrangement of atoms in a molecule of a chemical compound: the structure of benzene. 6. (Geological Science) geology the way in which a mineral, rock, rock mass or stratum, etc, is made up of its component parts. 7. the act of constructing.
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Fractal Design Define S Case Review The Build, Test Results & Conclusion. The Build. The Define S includes a basic screw pack with additional cable ties and a pair of reservoir mounting brackets. Fractal Design omits the AC-97 audio tail that motherboards haven’t required for the past decade or so, in order to clean up the HD Audio cable.
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Structure of the Earth Structure of the Earth. The interior structure of the Earth is layered in spherical shells, like an onion. These layers can be defined by their chemical and their rheological properties. Earth has an outer silicate solid crust, a highly viscous mantle, a liquid outer core that is much less viscous than the mantle, and a solid inner core.
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- Honeycomb structure. Honeycomb structures are natural or man-made structures that have the geometry of a honeycomb to allow the minimization of the amount of used material to reach minimal weight and minimal material cost.
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What Are Fractals, And Why Should I Care? As we all know, there are no perfect circles in nature and no perfect squares. Not only that, but when you look at trees or mountains or river systems they don't resemble any shapes one is used to in math. However with simple formulas iterated multiple times, fractal geometry can model these natural phenomena with alarming accuracy. If you can use simple math to make things look like the world, you know you're onto a winner. Fractal geometry does this with ease. This blog post shall give a quick overview of how to make fractal shapes and show how these shapes can resemble nature. It shall then go on to talk about dimensionality, which is a cool way to measure fractals.
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Benoit Mandelbrot: What are the most popular practical applications of fractal geometry in use today in Finance? 1) Real markets are too complex to be described as fractals. 2) Any pattern that as is simple as fractals would quickly get swamped. What happens is that you have a feedback mechanism. If traders spot a pattern, this causes then to trade against the pattern therefore destroying the pattern.
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The Locations of Protons, Neutrons, & Electrons Within an Atomic Structure Atomic Structure. The space every atom occupies is divided into two structural components: the nucleus and orbitals. The nucleus is the center of the atom, and orbitals surround the nucleus. Orbitals are different shapes depending on their energy; these shapes are calculated using quantum mechanics. A sphere is the most basic orbital shape; others include rings and teardrops.
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Biomolecular structure Biomolecular structure is the intricate folded, three-dimensional shape that is formed by a protein, DNA, or RNA molecule, and that is important to its function. The structure of these molecules is frequently decomposed into primary structure, secondary structure, tertiary structure, and quaternary structure.n biochemistry and structural biology, secondary structure is the general three-dimensional form of local segments of biopolymers such as proteins and nucleic acids (DNA/RNA). It does not, however, describe specific atomic positions in three-dimensional space, which are considered to be tertiary structure.
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- 11 September 1994. The longest lasting tropical cyclone lasted 31 days, it was named Hurricane/Typhoon John and travelled through the eastern Pacific Ocean from 11 August - 11 September 1994. Hurricane/Typhoon John formed on 11 August 1994 in the eastern Pacific Ocean.
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What is soil structure? Aggregation mainly depends on the soil composition and texture, but is also strongly influenced by other factors such as biological activity, climate, geomorphic processes or the action of fire. Structure is a typical morphological soil property, which allows differentiating soil of geological material. Because of its importance, structure is a property commonly described in soil studies. Organic and mineral soil particles are not isolated from each other, but form structural aggregates (also called “peds”).
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- Experience The Art of Infinity! Welcome to my fractal art galleries! The fractals in these galleries were selected to highlight the wide variety of form, color, detail, light etc. that is represenative of this digital art form, and shows the unlimited diversity of fractal art.
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Biomolecular structure Biomolecular structure is the intricate folded, three-dimensional shape that is formed by a protein, DNA, or RNA molecule, and that is important to its function. The structure of these molecules is frequently decomposed into primary structure, secondary structure, tertiary structure, and quaternary structure.The scaffold for this structure is provided by secondary structural elements that are hydrogen bonds within the molecule.he structure of these molecules is frequently decomposed into primary structure, secondary structure, tertiary structure, and quaternary structure. The scaffold for this structure is provided by secondary structural elements that are hydrogen bonds within the molecule.
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Tortuosity In this case tortuosity of both straight line and circle is estimated to be 0. Fractal dimension has been used to quantify tortuosity. The fractal dimension in 2D for a straight line is 1 (the minimal value), and ranges up to 2 for a plane-filling curve or Brownian motion.
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What is Orefind? Structural geology and geological modelling-our philosophy and approach. Our investigation of hundreds of mineral deposits shows that structural geometry represents the fundamental control on the flow of mineralising fluids and the deposition of mineralisation.owever, there is a lack of recognition and/or documentation by exploration and mining personnel of the importance of structural geological features. Orefind investigates structural geological issues at all scales.
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- Soil structure describes the arrangement of the solid parts of the soil and of the pore space located between them (Marshall & Holmes, 1979).
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- From the Fractal FAQ: A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale..There are many mathematical structures that are fractals; e.g.rom the Fractal FAQ: A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale.. There are many mathematical structures that are fractals; e.g.
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What are Fractals and why should I care? This rule is then applied to the shape again and again, until infinity. In maths when you change something it is usually called a function, so what happens is that a function is applied to a shape recursively, like the diagram below. After it has repeated an infinite amount of times, the fractal shape is produced.
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- Over 200 elementary school students from Los Lunas public schools gathered for a special fractal presentation, and learned an exciting hands-on activity. We taught the kids to make their own cutout fractal triangle cards, using just scissors, paper and glue.
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SEATTLE FRACTALS DIGITAL ART Many things! But one amazing, characteristic aspect of fractals, is that they are infinite! A fractal is infinite in two distinct senses, the macro level, and the micro level. Fractals extend to infinitely large values of their co-ordinates, outwards in all directions from the center.
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35 Phenomenal Fractal Art Pictures In this edition of our Monday Inspiration series, we look at awe-inspiring examples of the dynamic digital art sensation that is fractal art with 50 Phenomenal Fractal Art Renders. Setting across the vast sea of cyberspace to find these works was such an amazing task as so many fantastic pieces surfaced.
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Fractal dimension for fractal structures ([2, Definition 3.1]) Let X be a topological space. A pre-fractal structure on X is a countable family of coverings called levels, γ={Γn:n∈N}γ={Γn:n∈N} , such that Uxγ is an open neighborhood base of x for each x∈Xx∈X.he main goal of this paper is to provide a generalized definition of fractal dimension for any space equipped with a fractal structure. This novel theory generalizes the classical box-counting dimension theory on the more general context of GF-spaces.
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- Thelatter may be by the hydrometer or pipettese, a mechanical analysis is based on Stokes' law for the settling of spherical particles in a viscous fluid, Soil Structure Structure refers to the grouping of soil particles into secondary bodies called aggregates or peds.
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Exploring the Architecture of Tension Definition of Tensile Structure: A structure that is characterized by a tensioning of the fabric or pliable material system (typically with wire or cable) to provide the critical structural support to the structure.—Fabric Structures Association (FSA)
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- Today, fractals are much more than the Mandelbrot sets that you may have seen before. With Ultra Fractal, you can choose from thousands of fractal types and coloring algorithms, zoom in as far as you want, use gradients to add color, and apply multiple layers to combine different fractals in one image. Ultra Fractal is very easy to use and yet more capable than any other fractal program.
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fractal frac·tal. A geometric pattern repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by standard geometry. Even the most minute details of a fractal's pattern repeat elements of the overall geometric pattern. Fractals are widely used in computer modeling of irregular patterns and structures in nature, such as the patterns of seasonal weather.