genus ^{c} | 5, orientable |

Schläfli formula ^{c} | {6,4} |

V / F / E ^{c} | 24 / 16 / 48 |

notes | |

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

8, each with 12 edges | |

rotational symmetry group | 96 elements. |

full symmetry group | 192 elements. |

its presentation ^{c} | < r, s, t | t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, r^{6}, (sr^{‑1})^{4}, rsr^{‑2}s^{2}r^{3}s^{‑1} > |

C&D number ^{c} | R5.4′ |

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

It can be 5-split to give

It can be 7-split to give

It is the result of rectifying

List of regular maps in orientable genus 5.

× |
mo01:130,w09:18 |

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 2:10 seconds from the start. It is shown as a "wireframe diagram", on cube. The wireframe is arranged as the skeleton of

Orientable | |

Non-orientable |