Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.7 Beyond Euclidean Geometry - Exercise Set 10.7 - Page 677: 37

Answer

Fractals are considered to be important since they characterize images and the most important use of fractals is of image compressing.

Work Step by Step

A fractal is entirely a mathematical construct, it is found in different non-mathematical models, for example, natural systems and artworks. Fractals are considered to be important since they characterize images that otherwise can't be characterized by Euclidean geometry. Fractals are depicted utilizing algorithms and manages objects that don't have integer dimensions. Some of more good examples of fractals are the Cantor set, the Koch curve, the Sierpinski triangle, the Mandelbrot set, and the Lorenz model. The most important use of fractals is concerning image compressing. A truly disputable process, it takes an image and communicates it into an iterated system of functions. This image is displayed rapidly and is communicated in detail in any magnification.
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