genus ^{c} | 18, orientable |

Schläfli formula ^{c} | {72,4} |

V / F / E ^{c} | 36 / 2 / 72 |

notes | |

vertex, face multiplicity ^{c} | 2, 72 |

2, each with 72 edges | |

rotational symmetry group | 144 elements. |

full symmetry group | 288 elements. |

its presentation ^{c} | < r, s, t | t^{2}, s^{4}, (sr)^{2}, (sr^{‑1})^{2}, (st)^{2}, (rt)^{2}, r^{18}s^{2}r^{18} > |

C&D number ^{c} | R18.3′ |

The statistics marked ^{c} are from the published work of Professor Marston Conder. |

It can be 5-split to give

It can be built by 9-splitting

It is a member of series j.

List of regular maps in orientable genus 18.

Orientable | |

Non-orientable |