Mandelbröt set

Julia enlargement

This version allows you to draw the Mandelbröt sets for ten different iterative functions and their associated Julia sets.

Function |
Real part |
Imaginary part |

z = z² + c | x² - y² | 2xy |

z = z³ + c | x³ - 3xy² | 3x²y - y³ |

z = z² + z + c | x² - y² + x | y(2x + 1) |

z = z² - z + c | x² - y² - x | y(2x - 1) |

z = z(z² - 1) + c | x³ - 3xy² - x | 3x²y - y - y³ |

z = z²(z - 1) + c | x³ - x² - 3xy² + y² | 3x²y - 2xy - y³ |

z = z² - z - 1 + c | x² - y² - x - 1 | y(2x - 1) |

z = z⁴ + c | x⁴ - 6x²y² + y⁴ | 4(x³y - xy³) |

z = z(z + i) + c | x² - y² - y | x(2y + 1) |

z = z²(z + i) + c | x³ - 3xy² - 2xy | 3x²y + x² - y² - y³ |

Areas for enlargement are selected by dragging the mouse over a display and displays can be printed and stored, either as the basic data used to generate the display or as the actual display data.

The illustrations are areas of the sets produced by the function z = z²(z - 1) + c

A sample storage file is included in the package and there is also an extensive "Help" file appended.

The current version has had a number of modifications added, the most important of which is that you can now enter your own equations.

Julia set

Mandelbröt enlargement

or download the MANDELBRÖT package, (1.58M).

Other Mandelbröt sites:-

- Julia and Mandelbröt Sets
- Images of the Filled Julia Set for the Riemann Zeta Function
- Fractal Explorer Mandelbröt and Julia sets (by Fabio Cesari)
- Julia Set, Mu-Ency at MROB
- Mandelbröt Set and Julia Sets
- Mandelbröt And Julia Set Explorer
- Julia and Mandelbröt Set Bibliography
- The Fractory Make-Your-Own Julia Sets
- Mandel and Julia
- Mandelbröt and Julia sets