If the inverting circles overlap, the limit set can become much messier, often extending outside the circles. |

When the angles
of intersection of the circles are rational multiple of 180 degrees, some
relations are imposed between the inversions. For example, it is not difficult to
show if C_{1} and C_{2} intersect with an
angle of (m/n)180, _{1}I_{2})^{n} |

Here is an example of eight circles, with non-tangential intersections 90 deg. |

Here is an example of six circles, with non-tangential intersections 60 deg. |

Here is an example of four circles very close to generating a 12 cycle. |

Return to circle inversion fractals.