# Tag Archives: iterated equation

## Draw a Fibonacci word fractal in C#

This example uses the Fibonacci word to draw a fractal curve. For information on the Fibonacci word, see the post Calculate Fibonacci words in C#. To draw a curve with level N, use Fibonacci word number N. Loop through the … Continue reading

## Draw a Mandelbrot set fractal with smoothly shaded colors in C#

The example Use a Complex number class to draw a Mandelbrot set fractal easily in C# explains how to draw a Mandelbrot set by iterating the equation: Z(n) = Z(n-1)2 + C Where Z(n) and C are complex numbers. The … Continue reading

## Use a Complex number class to draw a Mandelbrot set fractal easily in C#

The example Draw a Mandelbrot set fractal in C# explains how to draw a Mandelbrot set by iterating the equation: Z(n) = Z(n-1)2 + C Where Z(n) and C are complex numbers. The program iterates this equation until the magnitude … Continue reading

## Draw a Mandelbrot set fractal in C#

The Mandelbrot set uses an iterated equation to calculate colors for the points in a region. The equation is: Z(n) = Z(n-1)2 + C Here the Z(n) and C are complex numbers. It can be shown that, if the magnitude … Continue reading

Posted in algorithms, fractals, graphics, mathematics | | 5 Comments