About: Teragon

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A teragon is a polygon with an infinite number of sides, the most famous example being the Koch snowflake ("triadic Koch teragon"). The term was coined by Benoît Mandelbrot from the words Classical Greek τέρας (teras, monster) + γωνία (gōnía, corner). Typically, a teragon will be bounded by one or more self-similar fractal curves, which are created by replacing each line segment in an initial figure with multiple connected segments, then replacing each of those segments with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure.

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  • Als Monsterkurve oder Teragon (v. griech.: teras = Drache, Monster) bezeichneten die Mathematiker des späten 19. und frühen 20. Jahrhunderts die geometrischen Kurven mit höchst seltsamen Eigenschaften, die damals entdeckt wurden. (de)
  • A teragon is a polygon with an infinite number of sides, the most famous example being the Koch snowflake ("triadic Koch teragon"). The term was coined by Benoît Mandelbrot from the words Classical Greek τέρας (teras, monster) + γωνία (gōnía, corner). Typically, a teragon will be bounded by one or more self-similar fractal curves, which are created by replacing each line segment in an initial figure with multiple connected segments, then replacing each of those segments with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure. (en)
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  • 2160 (xsd:nonNegativeInteger)
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  • 1100045238 (xsd:integer)
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  • January 2022 (en)
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  • The Koch snowflake is not a polygon at all. It does not have any sides in its boundary. (en)
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  • Als Monsterkurve oder Teragon (v. griech.: teras = Drache, Monster) bezeichneten die Mathematiker des späten 19. und frühen 20. Jahrhunderts die geometrischen Kurven mit höchst seltsamen Eigenschaften, die damals entdeckt wurden. (de)
  • A teragon is a polygon with an infinite number of sides, the most famous example being the Koch snowflake ("triadic Koch teragon"). The term was coined by Benoît Mandelbrot from the words Classical Greek τέρας (teras, monster) + γωνία (gōnía, corner). Typically, a teragon will be bounded by one or more self-similar fractal curves, which are created by replacing each line segment in an initial figure with multiple connected segments, then replacing each of those segments with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure. (en)
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  • Monsterkurve (de)
  • Teragon (en)
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