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.
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