fractal
DESCRIPTION
beauty of natureTRANSCRIPT
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Fractal
• A fractal is a mathematical set that typically displays self-similar patterns, which means they are "the same from near as from far"
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Natural phenomena with fractal features
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fractal in architecture
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Sierpinski triangle
• Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e. it is a mathematically generated pattern that can be reproducible at any magnification or reduction
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Constructionof
Sierpinski triangle
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The Koch Curve
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we see the third order Koch island (or snowflake)
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is the fifth order Koch curve, magnified four times
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The sixth order Koch curve
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The Koch snowflake
• The Koch snowflake (also known as the Koch star and Koch island[1]) is a mathematical curve and one of the earliest fractal curves to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a continuous curve without tangents, constructible from elementary geometry" (original French title: Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire) by the Swedish mathematician Helge von Koch.
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Constructionof
Snowflake
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MADE BY:-Nikhil Chaurasiya
AndVipin Bhatt