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Fractals are geometric shapes that you can break up into parts and each part has a property known as self similarity. This property simply means that each little part has the same general shape as the big part it came from.

Fractals occur in nature so why cannot simply answer the question why were they made.

One example is frost crystals that appear on a glass window.

In math we create these patterns for many reasons. One is just because they are very pretty.

But the also interest mathematicians. People who study calculus like them because they have certain very interesting properties. ( some of them do0.

One example is that of being everywhere continuous but nowhere differentiable.

It is not too important to understand exactly what it means, just to know that it is a very surprising result in math.

It turns out that fractals are important in studying complex numbers too. Something that most people would never guess. There are fractals called Julia sets named after a mathematician with the last name Julia.

I will post a link of a gallery of fractals. Many people enjoy looking at them. Now you know their beauty goes much deeper than just their looks!

Q: Why were fractals made?

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Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.

There are infinitely many fractals so no list can exist.

Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.

Fractals that which includes the fourth dimension and with which we can identify that our body's veins and nature are self similar.

Yes.

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Nobody. Fractals are not owned by anyone!

But to a mathematician, it is a neat, neat subject area. Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example. Their formulas have made possible many scientific breakthroughs.

Pi is a number. There are no fractals of pi.

Crystals are usually not fractals.

The Beauty of Fractals was created in 1986.

Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.

There are infinitely many fractals so no list can exist.

By their very nature fractals are infinite in extent.

Fractals are used for computer generated terrains.

Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.

The ISBN of The Beauty of Fractals is 0-387-15851-0.

No, they are not.