– + 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 von Koch. Suppose there is…
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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 numbers. The sum of the elements of row…
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Step 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.
( + ) ( – ) Reset 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 boundary…
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– + 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 it may touch. As the…
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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.
A hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. If the radius of a large circle is R, and the radius of a small…
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Epicycloid refers to the trajectory drawn by a vertex on a small circle when a small circle is rolled outside a large circle. The radius of a large circle is denoted by R, the radius of a small circle is…
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