Table 1.

Polyhedron . | No. of faces . | No. of intermediates . | No. of edges in . | No. of assembly pathways from □ to ▪ . |
---|---|---|---|---|

Tetrahedron | 4 | 5 (5) | 4 (4) | 1 (1) |

Cube | 6 | 9 (8) | 10 (8) | 3 (2) |

Octahedron | 8 | 15 (12) | 22 (14) | 14 (4) |

Dodecahedron | 12 | 74 (53) | 264 (156) | 17,696 (2,166) |

Icosahedron | 20 | 2650 (468) | 17242 (1984) | 57,396,146,640 (10,599,738) |

Truncated tetrahedron | 8 | 29 (22) | 65 (42) | 402 (171) |

Cuboctahedron | 14 | 341 (137) | 1636 (470) | 10,170,968 (6,258) |

Truncated cube | 14 | 500 (248) | 2731 (1002) | 101,443,338 (5,232,294) |

Truncated octahedron | 14 | 556 (343) | 3071 (1466) | 68,106,377 (5,704,138) |

Polyhedron . | No. of faces . | No. of intermediates . | No. of edges in . | No. of assembly pathways from □ to ▪ . |
---|---|---|---|---|

Tetrahedron | 4 | 5 (5) | 4 (4) | 1 (1) |

Cube | 6 | 9 (8) | 10 (8) | 3 (2) |

Octahedron | 8 | 15 (12) | 22 (14) | 14 (4) |

Dodecahedron | 12 | 74 (53) | 264 (156) | 17,696 (2,166) |

Icosahedron | 20 | 2650 (468) | 17242 (1984) | 57,396,146,640 (10,599,738) |

Truncated tetrahedron | 8 | 29 (22) | 65 (42) | 402 (171) |

Cuboctahedron | 14 | 341 (137) | 1636 (470) | 10,170,968 (6,258) |

Truncated cube | 14 | 500 (248) | 2731 (1002) | 101,443,338 (5,232,294) |

Truncated octahedron | 14 | 556 (343) | 3071 (1466) | 68,106,377 (5,704,138) |

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