Fractals!

[MichaelJ]

Hi NewGrounds,
I have a paper due on fractals tomorrow and I was just wondering if you guys could read (and proof if necissary) my paper. Is there anything i could do to make it better? If it doesn't appear right (yes the title is centered and the paragraphs are indented)
~thanks.
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Fractals
We see fractals every day, and don't even know it! A fractal is a complicated geometric shape made up of patterns that repeat themselves at smaller scales. The word fractal comes from the Latin word fractus, which means "broken" or "fractured." The term fractal was coined in 1975 by Benoit Mandelbrot. There are two main types of fractals, regular fractals and random fractals.
Regular fractals can be broken into smaller pieces which resemble the original structure. An example of a regular fractal would be the Sierpinski triangle, which is basically a big triangle with smaller triangles inside of it. Another example of a regular fractal would be the Koch snowflake, which starts with an equilateral triangle, and for every third of the triangle another equilateral triangle is placed over it in a rotated position, eventually forming the shape of a snowflake. The Koch snowflake is definitely more complicated Sierpinski triangle, but they are both still regular fractals.
Most of the fractals we see every day are random fractals. With computer generated random fractals, you can zoom in on the fractal, and the area that you are looking at may not appear to have any fractal properties. The most commonly known example of a fractal, however, is a tree. A tree is a natural fractal. Trees, or really any plants, are very good examples of fractals because they all started at a point, and randomly grew outward from there. All plants are considered random fractals because if you break them apart, to a certain point they may no longer appear to resemble the original fractal. Some other examples of random fractals are broccoli, lighting, clouds, sea shells, peacocks, pineapples, mountain ranges, and crystals. There are so many of them, you couldn't even write them all down!
No matter what type of fractal you are looking at, it will have an infinite perimeter, but a finite area. This means that you can keep zooming in on the fractal, and it will keep going on forever, (regular fractals will still resemble the original structure, and random fractals may not resemble the original structure to a certain degree, but they will still branch out randomly) but the fractal will never exceed a certain area. One of the most famous and complicated fractals in the world is called the Mandelbrot set. All fractals have an infinite perimeter, but the Mandelbrot set is a very famous fractal because it contains all other patterns and fractals known to man. That means that every fractal you will ever see is in the Mandelbrot set, but they may not be visible to the naked eye. Cool, huh?
Fractals were discovered not too long ago, and we do not know too much about them, but they are an interesting and important subject. A fractal does not have to be something that you have to be able to see. The fact that we humans know a lot about the world, but know little compared to the universe could be a fractal because there is always something new to discover.

[Sh0T-D0wN]

At 3/29/09 05:21 PM, Animator1mike wrote: Hi NewGrounds,
I have a paper due on fractals tomorrow and I was just wondering if you guys could read (and proof if necissary) my paper. Is there anything i could do to make it better? If it doesn't appear right (yes the title is centered and the paragraphs are indented)
~thanks.
-

Fractals
We see fractals every day, and don't even know it!

Every day we see dozens of fractals, and yet we do not even realize what they are.

The word fractal comes from the Latin word fractus, which means "broken" or "fractured."

The word" fractal" comes from the Latin, "fractus"...

The term fractal was coined in 1975 by Benoit Mandelbrot. There are two main types of fractals, regular fractals and random fractals.

The term "fractal" was first coined by Benoit Mandelbrot in 1975, he also broke his discovery into two types - regular and random.

Regular fractals can be broken into smaller pieces which resemble the original structure.

The "regular" type of fractles are images which, when broken into smaller pieces, will each resemble the original structure.

Etc. I'm not writing this for you unless you pay me $5.00. Use more sophisticated wording and less "can be" and such.

[The-Condor]

There's this button right, On the key board called the "Enter" key, It could help you break down that giant wall of text.

[MichaelJ]

At 3/29/09 05:37 PM, The-Condor wrote: There's this button right, On the key board called the "Enter" key, It could help you break down that giant wall of text.

Didn't think of that, lol.

[tigerkitty]

I don't really know how long this paper is supposed to be, but if you're looking at things to flesh out a bit I think you'd do well to explain your examples a bit more.

You talk about regular fractals and random fractals, but it very limited details with somewhat short examples.... the same thing with the Mandelbrot set. It has a few errors, but if you read it through slowly once or twice you'll probably catch them.

[Bacchanalian]

At 3/29/09 05:28 PM, Sh0T-D0wN wrote:

At 3/29/09 05:21 PM, Animator1mike wrote: We see fractals every day, and don't even know it!

Every day we see dozens of fractals, and yet we do not even realize what they are.

Actually... your correction is technically incorrect, way more wordy than it has to be, and doesn't even make the same point that the original does.

The term "fractal" was first coined by Benoit Mandelbrot in 1975, he also broke his discovery into two types - regular and random.

Generally... you put a period between two complete sentences.

Regular fractals can be broken into smaller pieces which resemble the original structure.

The "regular" type of fractles are images which,

Needlessly wordy.

when broken into smaller pieces, will each resemble the original structure.

Finally. A real correction.

Etc. I'm not writing this for you unless you pay me $5.00. Use more sophisticated wording and less "can be" and such.

Wordy =/= sophisticated. Also... my dick is bigger than yours.

For the OP...

In the list... "broccoli, lighting, clouds, sea shells, peacocks, pineapples, mountain ranges, and crystals" did you mean lightning?

The final sentence is nonsensical and/or run-on. "The fact that we humans know a lot about the world, but know little compared to the universe could be a fractal because there is always something new to discover."

I'll try... "The fact that we know a lot about the world, but know little about the universe, leaves room to speculate that the universe may be a fractal. There is, after all, always something new to discover."

[RacistBassist]

At 3/29/09 05:28 PM, Sh0T-D0wN wrote: Every day we see dozens of fractals, and yet we do not even realize what they are.

Ugly.

Look around you. Chances are, there are fractals.

The word" fractal" comes from the Latin, "fractus"...

The word fractal stems from the Latin word "Fractus"

The term "fractal" was first coined by Benoit Mandelbrot in 1975, he also broke his discovery into two types - regular and random.

Benoit Mandelbrot, in 1975, coined the term "fractal," and broke it into two categories-random, and regular.

The "regular" type of fractles are images which, when broken into smaller pieces, will each resemble the original structure.

Regular fractals are able to be broken into smaller pieces, with each piece resembling the original image.

[MichaelJ]

Ok, I edited a little.
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Fractals
We see fractals every day, and don't even realize it! A fractal is a complicated geometric shape made up of patterns that repeat themselves at smaller scales. The word fractal comes from the Latin word fractus, which means "broken" or "fractured." The term fractal was coined in 1975 by Benoit Mandelbrot. There are two main categories of fractals, regular fractals and random fractals.
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Regular fractals can be broken into smaller pieces, and each piece of the broken fractal will resemble the original structure. An example of a regular fractal would be the Sierpinski triangle, which is basically a big triangle with smaller triangles inside of it. Another example of a regular fractal would be the Koch snowflake, which starts with an equilateral triangle. For every third of each corner of the triangle, another equilateral triangle is placed over it in a rotated position. This eventually forms the shape of a snowflake. The Koch snowflake is definitely more complicated Sierpinski triangle, but they are both still regular fractals.
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Most of the fractals we see every day are random fractals. With computer generated random fractals, you can zoom in on the fractal, and the area that you are looking at may not appear to have any fractal properties. The most commonly known example of a fractal, however, is a tree. A tree is a natural fractal. Trees, or really any plants, are very good examples of fractals because they all started at a point, and randomly grew outward from there. All plants are considered random fractals because if you break them apart, to a certain point they may no longer appear to resemble the original fractal. Some other examples of random fractals are broccoli, lightning, clouds, sea shells, peacocks, pineapples, mountain ranges, and crystals. There are so many of them, you couldn't even write them all down!
-
No matter what type of fractal you are looking at, it will have an infinite perimeter, but a finite area. This means that you can keep zooming in on the fractal, and it will keep going on forever, (regular fractals will still resemble the original structure, and random fractals may not resemble the original structure to a certain degree, but they will still branch out randomly) but the fractal will never exceed a certain area. One of the most famous and complicated fractals in the world is called the Mandelbrot set. All fractals have an infinite perimeter, but the Mandelbrot set is a very famous fractal because it contains all other patterns and fractals known to man. That means that every fractal you will ever see is in the Mandelbrot set, but they may not be visible to the naked eye. Cool, huh?
-
Fractals were discovered not too long ago, and we do not know too much about them, but they are an interesting and important subject. A fractal does not have to be something that you have to be able to see. The fact that we know a lot about the world, but know little about the universe, suggests that the universe may be a fractal. There is, after all, something new to be discovered every day.
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this is what I am submitting today