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Dimensional Space Straight Line
1,540 words... stability is most intriguing: that the Tree of Reality is a multidimensional fractal. Fractals (to make a long story short) arise from unbounded convoluted lower-dimensional curves filling a higher-dimensional space. The fractals we are familiar with are formed using lines (sometimes these are contour lines defining the properties of certain regions when a function is applied to them), which are 1 D objects, but partially fill a sheet of paper, which is a 2 D space. The 3 D volumes of the Ma...
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Natural Fractal Or Fractal Dimension Fractal Or Fractal Dimension Fractals
430 wordsJustin Cook Fractals Cook 1 Fractals are a modern mathematical theory that radically departs from traditionally Euclidean geometry, fractal geometry describes objects that are self-similar, or scale symmetric. This means that when such objects are magnified, their parts are seen to bear an exact resemblance to the whole, the likeness continuing with the parts of the parts and so on and so on to infinity. Fractals, as these shapes are called, must also be devoid of translational symmetry. Instead...
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Fractal Geometry Fractal Geometry Fractal Geometry Fractal Fractals
583 wordsFractal Fractal Geometry Fractal Geometry Fractal geometry is a branch of mathematics having to do with fractals. Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. In geometry two figures are similar if their corresponding angles are congruent in measure. Fractals are self-similar meaning that at every level the fractal image repeats itself. An example of self-similarity would be a triangle made up of t...
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1 And 2 Virtual Reality
950 wordsThe world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others im perceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The imp...
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Videotape Fractals Fractal Images
404 wordsThe videotape Fractals Fractals Review The videotape Fractals was narrated by a writer of science fiction, R. C. Clark, who is the creator of 2001 Space Odessa. Individuals interviewed, experts on the subject included professor Stuart, Dr. Michael Barnsley, Steven Hawkins, author of A Brief History in Time, and creator of the Mandelbrot set, Dr. Benoit Mandlebrot. These men introduced us to their insight of fractals, provided people with much new and fascinating information on this obscure topic...
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Chaos Theory Sickle Cell
1,215 wordsThe Fun Filled Fractal Phenomenon A fractal is a type of geometric figure. It is generated by starting with a very simple pattern such as a triangle and, through the application of many repeated rules, adding to the figure to make it more complicated. Often, an input will be entered into a recursive function and it will yield an output. This output is then inserted back into the function as an input and the process is repeated infinitely. Fractals often exhibit self-similarity. This means that e...
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Number Of Times Euclidean Geometry
2,376 wordsChaos Theory and Fractal Phenomena Chaos theory is the qualitative study of unstable aperiodic behavior in deterministic nonlinear systems. To understand the definition of chaos can be understood if broken down: A dynamical system may be defined to be a simplified model of the time-varying behavior of an actual system and an aperiodic behavior is the behavior that occurs when no variable describing the state of the system undergoes a regular repetition of values. An aperiodic behavior will never...
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