# Fractal Simulation

## Koch Curve

Depth 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…

## Pythagoras Tree

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

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…

## Sierpinski Triangle

Depth 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.

## C Curve

Depth 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.

## Dragon Curve

Depth 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…

## Hilbert Curve

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

## Sierpinski Curve

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

## Mandelbrot Set

( + ) ( – ) 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…