## Koch Curve

Koch curve Koch curve is a kind of fractal curve. It appeared in a 1904 paper titled “On a continuous curve without tangents, constructible from elementary geometry” by the Swedish mathematician Helge…

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Koch curve Koch curve is a kind of fractal curve. It appeared in a 1904 paper titled “On a continuous curve without tangents, constructible from elementary geometry” by the Swedish mathematician Helge…

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The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, it is named after the ancient Greek mathematician Pythagoras.

Pascal’s triangle is a triangular array of the binomial coefficients. each number is the sum of the two numbers directly above it. Pascal’s triangle has many properties and contains many patterns of…

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Sierpinski triangle is a fractal and attractive fixed set with the overall shape of an equilateral triangle. In this simulation, Create a Sierpinski triangle by endlessly drawing circles.

The C curve is a kind of fractal geometry. Bend each side 90 degrees. Bend this side again 90 degrees. Repeating this operation infinitely can get a C curve.

A dragon curve is a piece of paper that has been folded several times in the same direction as the picture, and then bent vertically. This curve does not intersect even though…

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A Hilbert curve is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891.

Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński.

The Mandelbrot set is a famous example of a fractal in mathematics. The Mandelbrot set is important for the chaos theory. Images of the Mandelbrot set exhibit an elaborate and infinitely complicated…

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