An extension to Chapter XVI of 'Adventures Among The Toroids' by B.M.Stewart

2.1 Five Independent Tunnels |
2.2 K _{5}
with ringed tunnels and with one tunnel passing through another |

2.3 Variations on m |

W ^{+} |

Two copies of W

W ^{+}mW^{+} |

The position of the hexagonal faces in W+ is such that W

The angle ABC between two adjacent copies of W ^{+}
appended to E_{5}. |

Unfortunately while W

Four independent tunnels: K _{5} / 4(W^{+}mW^{+}) Genus p=4. |

If the excavations are m rather than m* the tunnels do not penetrate the central E

Five independent tunnels K _{5} / 4(W^{+}mW^{+})
,
6Z_{4}Z_{4}(P_{4})
Genus
p=9. |

Rings are also possible. The holes in these rings are again large enough to admit threading by a further tunnel from either decagonal-to-decagonal face or from square to square. The example shown below shows an S* containing 3 copies of R

Threaded tunnels K _{5} / [W^{+}m]^{5C},
S*; Genus p=6. |

The rod Q

Threaded tunnels K _{5} / [W^{+}m]^{5C}, Q_{5}E_{5}S_{5}^{2}Q_{5}; Genus p=6. |

The W

K _{5}
/ [8W^{+}12m]^{C}, 6Z_{4}Z_{4}(P_{4}); Genus p=17. |

As the [8W

K _{5} / [8W^{+}12m]^{C}, 4Z_{4}J_{91}^{4C}; Genus p=16. |

K _{5}
/ [8W^{+}6(Z_{4}(P_{4})Z_{4})]^{C}
^{}; Genus p=18. |

The outer faces of the cubes can then be connected to K

K _{5}
/
[8W^{+}6(Z_{4}(P_{4})Z_{4})]^{C}6Z_{4}^{}; Genus p=24. |

It is also tempting to replace m with J