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Fractal
(redirected from fractal geometry)

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Fractal
A fragmented geometric shape that can be split into parts, each of which approximates a reduced-size copy of the whole, a property which is called self-similarity. Fractals provide the mathematics behind structures in the natural universe—e.g., frost crystals, coastlines, etc.—which cannot be described by the language of euclidean geometry. Fractal analysis is providing new ways to interpret biomedical phenomena. It has been used for classifying histopathology, enzymology, and signal and image compression
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Since the mid 70''s, the theory of Fractal Geometry was developed by Benoit Mandelbrot who used the word "fractal" to describe irregularly-shaped objects in nature.
Fractals for Fashion - Textile Weaving Designs by Scott Kavanagh / Hobbies community
They include recurrence quantification analysis of bipolar disorder performed using a Van der Pol oscillator model, detecting low-dimensional chaos in small noisy sample sets, Alan Turing meets the Sphinx, fractal geometry in computer graphics and in virtual reality, buyer decisions in the US housing industry, secular variation in the climatic memory of five Italian deep lakes, and in everyday action notes for a mindscape of bioethics.
Progress in chaos and complexity research by SciTech Book News
Whereas Euclidean geometry consists of smooth, straight lines, fractal geometry consists of rough or fragmented shapes that can be split into parts, each of which is a reduced-size copy of the whole.
Applying fractal geometry to mechanical ventilation by Walter, Carrie / FOCUS: Journal for Respiratory Care & Sleep Medicine
 
 
 
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