A Short Overview of Fractals, a Geometrical Discovery by Benoit Mandelbrot

A Short Overview of Fractals, a Geometrical Discovery by Benoit Mandelbrot

Document details
Category: Mathematics Essay
Subcategory: Pure Mathematics
Words: 626
Pages: 3

A fractal is a geometrical or physical structure having an irregular or fragmented shape at all scales of measurement between a greatest and smallest scale such that certain mathematical or physical properties of the structure, as the perimeter of a curve or the flow rate in a porous medium, behave as if the dimensions of the structure (fractal dimensions) are greater than the spatial dimensions. In other words fractals are patterns that never stops repeating itself from a microscopic scale. Fractals were discovered by a Polish- French- American known as, Benoit Mandelbrot. As a person who happened to crack a new twist to the world of patterns, he became known as The Parent of Fractals. A fractal can be something as simple as a snowflake. Snowflakes are tiny pieces of ice that create a beautiful shape. Snowflakes are a fractal because the ice constantly repeats its pattern in order to create its unique shape. The Koch snowflake is a better example of a fractal because the measurement is more accurate than that of an actual snowflake. It is formed by drawing and equilateral triangle and on each of the three sides, drawing another equilateral triangle that is one third the size of its original side and continues on the same exact way. When zoomed in at each dimension, the figure looks exactly the same. It is as though the figure never changed.Another example of a fractal is the universe. The universe consists of multiple galaxies in clusters. The galaxies look like little swirls that constantly move into itself. As the universe is zoomed into, it consists of multiple stars, black holes, comets, etc. There is no escaping the universe. As far as one may travel through the universe, they will continue to come across the exact same events. The universe is considered not to be a fractal as well...

“A good sample is better than the advice"
Hire EliteEssayWriters to Write Your Assignment!
similar examples
An Overview of a National Park and Its Benefits to Humans and Animals
609 words
2 pages
National ParksA national park is like a special box filled with truly unique and precious treasures. When you see a national park on a postcard, television or in a movie, the first thing that probably springs to your mind is, "Wow! That is really beautiful!" But actually being at a ...
An Overview of Fractals
Category: Mathematics
1162 words
3 pages
Fractals The history of fractals traces a path from chiefly theoretical studiesto modern applications in computer graphics, with several notable peoplecontributing canonical fractal forms along the way. According to Pickover,the mathematics behind fractals began to take shape in the 17th centurywhen the mathematician and philosopher Gottfried Leibniz pondered self-similarity. In ...
An Overview of the Fractals in Modern Mathematical Theory
Category: Mathematics
427 words
2 pages
Justin Cook Fractals Cook 1Fractals 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 ...
An Overview of the Characteristics of Fractals in the World of Mathematics
Category: Mathematics
921 words
2 pages
The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. 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 ...
An Overview of Dr Albert Hoffman’s Research and the Discovery of Lysergic Acid Diethylmide (LSD)
2306 words
4 pages
A Swiss chemist named Dr. Albert Hoffman first produced lysergic acid Diethylmide or best known as LSD in 1938 (Dye, 1992, p. 2). Hoffman discovered the drug while trying to synthesize a new drug for the treatment of headaches. He obtained the lysergic acid from the parasitic fungus that grows ...
A Definition of Mandelbrot Set and Fractals according to Benoit Mandelbrot, a Mathematician
Category: Mathematics
811 words
2 pages
Oren Zarif P.4 In 1979 Mandelbrot produced a computer generated image of what later became known as the "Mandelbrot Set". This set covers a region in the complex C-plane with the property that values of C within this set, or on it's boundary, result in "Connected Julia Sets", and values ...
GET EVEN A BETTER ESSAY!
It's a lifetime discount time!
15% off
Save this discount code:
15OFFJUST4U