genus ^{c} | 10, orientable |

Schläfli formula ^{c} | {12,3} |

V / F / E ^{c} | 72 / 18 / 108 |

notes | |

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

36, each with 6 edges | |

rotational symmetry group | 216 elements. |

full symmetry group | 432 elements. |

its presentation ^{c} | < r, s, t | t^{2}, s^{‑3}, (sr)^{2}, (st)^{2}, (rt)^{2}, (rs^{‑1}r)^{3}, r^{12} > |

C&D number ^{c} | R10.2′ |

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

Its Petrie dual is _{(6,6)}

It can be Eppstein tunnelled to give

List of regular maps in orientable genus 10.

Its skeleton is torus-h-0-6.

Orientable | |

Non-orientable |