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It really depends on the fractal, and there are many possible ways to define them. As an example, for the Mandelbrot set, a number of calculations involving complex numbers are done for each point in the complex plane, to determine whether a point is part of the set or not. However, other definitions are possible as well.
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What are fractals of pi?
Pi is a number. There are no fractals of pi.
Are kaleidoscope images fractals?
No. Fractals are geometric shapes which include high calculations. I'm not even able to do the first part of it.
How are Fractals used in the real world?
If you look closely and carefully enough, nature is ALL fractals; snowflakes, leaves, tree branches, coastlines, everywhere.
Which mathematician was a pioneer in the study of fractals?
Benoit Mandelbrot
What are fractals used for?
Fractals are commonly used for digitally modeling irregular patterns and structures in nature. They are also very useful for image compression, producing an enlarged picture with no pixilation.
When was The Beauty of Fractals created?
The Beauty of Fractals was created in 1986.
Which geometric figure is created using iterations?
Fractals.
What are fractals of pi?
Pi is a number. There are no fractals of pi.
How are mountains and crystals fractals?
Crystals are usually not fractals.
Who has made the most fractals?
Nobody. Fractals are not owned by anyone!
What are some common techniques for generating fractals?
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
What are the list of fractals?
There are infinitely many fractals so no list can exist.
How many different fractals are there in the universe?
By their very nature fractals are infinite in extent.
What do Hollywood special effects have to do with fractals?
Fractals are used for computer generated terrains.
Where were fractals discovered?
Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.
What is the ISBN of The Beauty of Fractals?
The ISBN of The Beauty of Fractals is 0-387-15851-0.
Are butterflies fractals?
No, they are not.
