## Mandelbrot Set

This simulation supports both pinch zoom and mouse scrolling. We recommend using the Chrome browser. (to get more processing speed) Imaginary number An imaginary number consists of a number that becomes negative…

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This simulation supports both pinch zoom and mouse scrolling. We recommend using the Chrome browser. (to get more processing speed) Imaginary number An imaginary number consists of a number that becomes negative…

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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. Fractal’s self-similarity…

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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.

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

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A Hilbert curve is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891. Fractal’s self-similarity Fractal curves retain their original shape even if they are greatly…

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Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński. Fractal’s self-similarity Fractal curves retain their original shape even if they are greatly enlarged. Most…

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