We begin by looking for patterns in the n-cycle components (discs) attached around the big cardioid. |

Starting from the 2-cycle disc, proceeding around the top of the big cardioid we encounter |

a 3-cycle disc, |

a 4-cycle disc, |

a 5-cycle disc, |

... and so on. |

This is the upper principal series. |

The analogous sequence along the bottom of the cardioid is the lower principal series. |

Return to Combinatorics in the Mandelbrot Set.