genus ^{c} | 81, orientable |

Schläfli formula ^{c} | {20,4} |

V / F / E ^{c} | 200 / 40 / 400 |

notes | |

vertex, face multiplicity ^{c} | 1, 5 |

40, each with 20 edges | |

rotational symmetry group | 800 elements. |

full symmetry group | 800 elements. |

its presentation ^{c} | < r, s | s^{4}, (sr)^{2}, (sr^{‑3})^{2}, r^{‑1}s^{‑1}rsr^{‑1}sr^{‑1}s^{‑2}rs^{‑1}rs^{‑1}r^{‑2}s, r^{20} > |

C&D number ^{c} | C81.10′ |

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

It can be built by 5-splitting _{(6,2)}

List of regular maps in orientable genus 81.

Orientable | |

Non-orientable |