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How are fractals made?
Fractals can be generated with computer programs like Sterling or Apophysis. Both of these are freeware you can easily download. There are other programs, like Ultra Fractal and Tierazon, as well. With Sterling, you are given a default fractal that you can transform using various modes, and then zoom in and search for a good design. With Apophysis, you are given a set of randomly-generated "flames" that you can transform using various "plug-ins", some of which are included in the download, others can be downloaded free. Apophysis flames are can be edited by manipulating the triangles that define it. Each triangle can be manipulated using plug-ins such as "spiral." Several tutorials are on the Internet, at places like deviantart.com, which has groups liked I linked below. An example of fractals generated with Sterling and Apophysis can be found in a gallery I also linked below.
What are three major discoveries of inventions Euclid made?
nonsence
What was hypatia math discovery?
Any discoveries made by Hypatia did not survive.
What is the perimeter of a shape that is odd shaped?
It is the total length of its boundary. There is no need for the boundary to be made up of straight lines or even smooth curves. However, fractals do cause problems.
Why were fractals made?
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!
Who has made the most fractals?
Nobody. Fractals are not owned by anyone!
What discoveries have been made using a microscope?
The discovery of cells was found by the use of a microscope, the discovery found that all living things are made of cells.
What discoveries have been made in Minnesota?
its really cold.
Important discoveries with the microscope?
There have been quite a few different very important discoveries that have been made with a microscope. Cell structure is one of these important structures.
What discoveries have been made with scuba?
The titanic and underwater sunken ships.
What discoveries has zoology made?
they have made many discoveries
Why are fractals related to math?
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.
What are some discoveries that have been made as a result of DNA sequencing?
birth control.
When was the belle built?
Many discoveries have been made and they believe it was in the year of 1754
What are the discoveries Isaac Newton made?
discoveries made by newton
What historic discoveries were made in the 1800s?
what historic discoveries were made in the 1800'?
When was the Jesse belle built?
Many discoveries have been made and they believe it was in the year of 1754
