Presentation

The constants I used were found on
the internet because it is hard to find the right constants for the beautifulest
fractal.

All the data are reported in this
table :

A | B | C | D | n | Xo | Yo |

-0.966918 | 2.879879 | 0.765145 | 0.744728 | 10 000 | 1 | 1 |

I take a value of 10 000 for iterations because the image is not clear under 10 000 iterations.

The following graph corresponds to
the phases space.

Analysis

We wonder that this fractal has got
the same behaviour as an attractor, for example the lorenz attractor.

There is an axial symmetry with both
axes.