There are many people who contributed to the works of the fractal. Three of these important people are listed below. A fractal is a repeating pattern and it becomes smaller as it does this. There is no end to a fractal, it goes on and on as you zoom in. It is based on complex formulas. You can easily make fractals on a free program called Terazon. If you read below you will learn about everyone that was involved in the making of fractals.

                                                                         

                                    Leibenz     
 Gottfried Leibenz was born on July 1st, 1646. He was extremely interested in German Polymath. Leibenz invented calculus. He is also known for being a 17th century rationalist. His assumptions were based mostly on analysis and logic. When he was fourteen, Leibenz got involved in his father's university. By the age of twenty, he had succeeded through everything he needed to learn . In 1692, Leibenz was the first to discover a few geometric stuff. Some of these were the chord and the perpendicular. He also thought of the idea of recursive self-similarity. At this time he was still making huge mistakes that were later discovered about fractals. The line isn't the only self-similar object. This idea led to the discovery of fractals. Leibenz died on November 14, 1716.


                                         Waclaw Sierpinski

    Waclaw Franciszek Sierpinski was born on March 14,1882. He was a Polish mathematician who accomplished writing over fifty books. He greatly contributed on many theories. Some of these were the set theory, functions and topology,and the numbers theory. He went to the University of Warsaw Department. There he learned math and physics. Waclaw, in 1907 got involved in the set theory. He discovered a theorem that dots on a plane become specified with one coordinate. In 1909, he recited a lecture about the subject to many interested people. Tadeusz Banachiewicz got a letter from Waclaw questioning how this theory works. Tadeusz Banachiewicz wrote back one word”cantor.” During world war one Waclaw made contributions to the Sierpinski curve. He tested with functions like results on functional series, differentiability of functions and Baire's classification. Around 1915, Waclaw made a triangle. In 1916, he mad a carpet. Now these are thought of as curves. A few items named after the him are the Sierpinski curve, numbers, and carpet. Waclaw died on October 21, 1969.


                                                                                     Julia

    Gaston Julia was born on February 3, 1893 in Algerian. He was a French man who Mandle Brot turned famous. His main invention was the Julia Set. A Julia set is a type of fractal. It has complicated formulas like f-1(F(f)) = f(F(f)) = F(f). When he was a youngster, he enjoyed music and math. During World War I, Julia went to war and his nose got chopped off! He wrote a paper in “Journal de Mathématiques Pures et Appliquées” about mathematics. He became very popular after his death in March 19, 1978.


  

      Fractals are very complex. There mathematic formulas are very hard to understand without knowing there concepts. These three men worked many hard years trying to progress the idea of fractals to the world. They have much to show for their work. If you would like to find out more about fractals go to these references. 

Links

Wikipedia Fractals


Wikipedia Gottfried Leibniz


Waclaw Sierpinski

Wikipedia Gaston Julia