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.
nonsence
Any discoveries made by Hypatia did not survive.
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.
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!
Nobody. Fractals are not owned by anyone!
its really cold.
The titanic and underwater sunken ships.
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.
Many discoveries have been made and they believe it was in the year of 1754
birth control.
discoveries made by newton
what historic discoveries were made in the 1800'?
Many discoveries have been made and they believe it was in the year of 1754
A scientific discovery that was made using photography involved the running motion of a horse. Until they photographed a horse running no one knew that when a horse runs at one point in time all four legs come off the ground.
Serendipitou discoveries are discoveries made by accident, when looking for something else
WAS IT ERIKSON'S DISCOVERIES MADE OR BENEFITS OF THE WORLD?