Koch curve

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• Koch — may refer to: * Koch (surname), people with this surname * Koch (boat), a type of Arctic boat * Koch (language), a language spoken in India and Bangladesh * Koch method of learning Morse Code * Koch snowflake or star, and Koch curve * Koch s… …   Wikipedia

• Koch snowflake — The first four iterations of the Koch snowflake The first seven iterations in animation …   Wikipedia

• Koch'sche Schneeflocke — Die Koch Kurve oder kochsche Kurve ist ein von dem schwedischen Mathematiker Helge von Koch 1904 vorgestelltes Beispiel für eine überall stetige, aber nirgends differenzierbare Kurve. Es handelt sich bei ihr ferner um eines der ersten formal… …   Deutsch Wikipedia

• Koch-Kurve — Kochsche Schneeflocke, Konstruktion. Die Koch Kurve oder kochsche Kurve ist ein von dem schwedischen Mathematiker Helge von Koch 1904 vorgestelltes Beispiel für eine überall stetige, aber nirgends differenzierbare Kurve. Es handelt sich bei ihr… …   Deutsch Wikipedia

• Koch, Niels Fabian Helge von — ▪ Swedish mathematician born January 25, 1870, Stockholm, Sweden died March 11, 1924, Stockholm  Swedish mathematician famous for his discovery of the von Koch snowflake curve, a continuous curve important in the study of fractal geometry.… …   Universalium

• Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… …   Wikipedia

• De Rham curve — In mathematics, a de Rham curve is a certain type of fractal curve named in honor of Georges de Rham. The Cantor function, Césaro curve, Minkowski s question mark function, the Lévy C curve, the blancmange curve and the Koch curve are all special …   Wikipedia

• Helge von Koch — Niels Fabian Helge von Koch (January 25, 1870 March 11, 1924) was a Swedish mathematician, who gave his name to the famous fractal known as the Koch snowflake, which was one of the earliest fractal curves to have been described.He was born into a …   Wikipedia

• Lévy C curve — In mathematics, the Lévy C curve is a self similar fractal that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and G. Farber in 1910, but now bears the name of French mathematician Paul Pierre… …   Wikipedia

• Jordan curve theorem — Illustration of the Jordan curve theorem. The Jordan curve (drawn in black) divides the plane into an inside region (light blue) and an outside region (pink). In topology, a Jordan curve is a non self intersecting continuous loop in the plane.… …   Wikipedia

• Sierpiński curve — Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n ightarrow infty completely fill the unit square: thus their limit curve, also called the… …   Wikipedia