triangulation-table.txt

This is an array of configurations. Each configuration is another array. The numbers are the vertices of the cube. Every triplet of numbers represents a triangle.

{
  {},
  {0, 8, 3},
  {0, 1, 9},
  {1, 8, 3, 9, 8, 1},
  {1, 2, 10},
  {0, 8, 3, 1, 2, 10},
  {9, 2, 10, 0, 2, 9},
  {2, 8, 3, 2, 10, 8, 10, 9, 8},
  {3, 11, 2},
  {0, 11, 2, 8, 11, 0},
  {1, 9, 0, 2, 3, 11},
  {1, 11, 2, 1, 9, 11, 9, 8, 11},
  {3, 10, 1, 11, 10, 3},
  {0, 10, 1, 0, 8, 10, 8, 11, 10},
  {3, 9, 0, 3, 11, 9, 11, 10, 9},
  {9, 8, 10, 10, 8, 11},
  {4, 7, 8},
  {4, 3, 0, 7, 3, 4},
  {0, 1, 9, 8, 4, 7},
  {4, 1, 9, 4, 7, 1, 7, 3, 1},
  {1, 2, 10, 8, 4, 7},
  {3, 4, 7, 3, 0, 4, 1, 2, 10},
  {9, 2, 10, 9, 0, 2, 8, 4, 7},
  {2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4},
  {8, 4, 7, 3, 11, 2},
  {11, 4, 7, 11, 2, 4, 2, 0, 4},
  {9, 0, 1, 8, 4, 7, 2, 3, 11},
  {4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1},
  {3, 10, 1, 3, 11, 10, 7, 8, 4},
  {1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4},
  {4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3},
  {4, 7, 11, 4, 11, 9, 9, 11, 10},
  {9, 5, 4},
  {9, 5, 4, 0, 8, 3},
  {0, 5, 4, 1, 5, 0},
  {8, 5, 4, 8, 3, 5, 3, 1, 5},
  {1, 2, 10, 9, 5, 4},
  {3, 0, 8, 1, 2, 10, 4, 9, 5},
  {5, 2, 10, 5, 4, 2, 4, 0, 2},
  {2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8},
  {9, 5, 4, 2, 3, 11},
  {0, 11, 2, 0, 8, 11, 4, 9, 5},
  {0, 5, 4, 0, 1, 5, 2, 3, 11},
  {2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5},
  {10, 3, 11, 10, 1, 3, 9, 5, 4},
  {4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10},
  {5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3},
  {5, 4, 8, 5, 8, 10, 10, 8, 11},
  {9, 7, 8, 5, 7, 9},
  {9, 3, 0, 9, 5, 3, 5, 7, 3},
  {0, 7, 8, 0, 1, 7, 1, 5, 7},
  {1, 5, 3, 3, 5, 7},
  {9, 7, 8, 9, 5, 7, 10, 1, 2},
  {10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3},
  {8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2},
  {2, 10, 5, 2, 5, 3, 3, 5, 7},
  {7, 9, 5, 7, 8, 9, 3, 11, 2},
  {9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11},
  {2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7},
  {11, 2, 1, 11, 1, 7, 7, 1, 5},
  {9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11},
  {5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0},
  {11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0},
  {11, 10, 5, 7, 11, 5},
  {10, 6, 5},
  {0, 8, 3, 5, 10, 6},
  {9, 0, 1, 5, 10, 6},
  {1, 8, 3, 1, 9, 8, 5, 10, 6},
  {1, 6, 5, 2, 6, 1},
  {1, 6, 5, 1, 2, 6, 3, 0, 8},
  {9, 6, 5, 9, 0, 6, 0, 2, 6},
  {5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8},
  {2, 3, 11, 10, 6, 5},
  {11, 0, 8, 11, 2, 0, 10, 6, 5},
  {0, 1, 9, 2, 3, 11, 5, 10, 6},
  {5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11},
  {6, 3, 11, 6, 5, 3, 5, 1, 3},
  {0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6},
  {3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9},
  {6, 5, 9, 6, 9, 11, 11, 9, 8},
  {5, 10, 6, 4, 7, 8},
  {4, 3, 0, 4, 7, 3, 6, 5, 10},
  {1, 9, 0, 5, 10, 6, 8, 4, 7},
  {10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4},
  {6, 1, 2, 6, 5, 1, 4, 7, 8},
  {1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7},
  {8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6},
  {7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9},
  {3, 11, 2, 7, 8, 4, 10, 6, 5},
  {5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11},
  {0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6},
  {9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6},
  {8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6},
  {5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11},
  {0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7},
  {6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9},
  {10, 4, 9, 6, 4, 10},
  {4, 10, 6, 4, 9, 10, 0, 8, 3},
  {10, 0, 1, 10, 6, 0, 6, 4, 0},
  {8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10},
  {1, 4, 9, 1, 2, 4, 2, 6, 4},
  {3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4},
  {0, 2, 4, 4, 2, 6},
  {8, 3, 2, 8, 2, 4, 4, 2, 6},
  {10, 4, 9, 10, 6, 4, 11, 2, 3},
  {0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6},
  {3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10},
  {6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1},
  {9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3},
  {8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1},
  {3, 11, 6, 3, 6, 0, 0, 6, 4},
  {6, 4, 8, 11, 6, 8},
  {7, 10, 6, 7, 8, 10, 8, 9, 10},
  {0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10},
  {10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0},
  {10, 6, 7, 10, 7, 1, 1, 7, 3},
  {1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7},
  {2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9},
  {7, 8, 0, 7, 0, 6, 6, 0, 2},
  {7, 3, 2, 6, 7, 2},
  {2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7},
  {2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7},
  {1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11},
  {11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1},
  {8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6},
  {0, 9, 1, 11, 6, 7},
  {7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0},
  {7, 11, 6},
  {7, 6, 11},
  {3, 0, 8, 11, 7, 6},
  {0, 1, 9, 11, 7, 6},
  {8, 1, 9, 8, 3, 1, 11, 7, 6},
  {10, 1, 2, 6, 11, 7},
  {1, 2, 10, 3, 0, 8, 6, 11, 7},
  {2, 9, 0, 2, 10, 9, 6, 11, 7},
  {6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8},
  {7, 2, 3, 6, 2, 7},
  {7, 0, 8, 7, 6, 0, 6, 2, 0},
  {2, 7, 6, 2, 3, 7, 0, 1, 9},
  {1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6},
  {10, 7, 6, 10, 1, 7, 1, 3, 7},
  {10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8},
  {0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7},
  {7, 6, 10, 7, 10, 8, 8, 10, 9},
  {6, 8, 4, 11, 8, 6},
  {3, 6, 11, 3, 0, 6, 0, 4, 6},
  {8, 6, 11, 8, 4, 6, 9, 0, 1},
  {9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6},
  {6, 8, 4, 6, 11, 8, 2, 10, 1},
  {1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6},
  {4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9},
  {10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3},
  {8, 2, 3, 8, 4, 2, 4, 6, 2},
  {0, 4, 2, 4, 6, 2},
  {1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8},
  {1, 9, 4, 1, 4, 2, 2, 4, 6},
  {8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1},
  {10, 1, 0, 10, 0, 6, 6, 0, 4},
  {4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3},
  {10, 9, 4, 6, 10, 4},
  {4, 9, 5, 7, 6, 11},
  {0, 8, 3, 4, 9, 5, 11, 7, 6},
  {5, 0, 1, 5, 4, 0, 7, 6, 11},
  {11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5},
  {9, 5, 4, 10, 1, 2, 7, 6, 11},
  {6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5},
  {7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2},
  {3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6},
  {7, 2, 3, 7, 6, 2, 5, 4, 9},
  {9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7},
  {3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0},
  {6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8},
  {9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7},
  {1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4},
  {4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10},
  {7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10},
  {6, 9, 5, 6, 11, 9, 11, 8, 9},
  {3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5},
  {0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11},
  {6, 11, 3, 6, 3, 5, 5, 3, 1},
  {1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6},
  {0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10},
  {11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5},
  {6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3},
  {5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2},
  {9, 5, 6, 9, 6, 0, 0, 6, 2},
  {1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8},
  {1, 5, 6, 2, 1, 6},
  {1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6},
  {10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0},
  {0, 3, 8, 5, 6, 10},
  {10, 5, 6},
  {11, 5, 10, 7, 5, 11},
  {11, 5, 10, 11, 7, 5, 8, 3, 0},
  {5, 11, 7, 5, 10, 11, 1, 9, 0},
  {10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1},
  {11, 1, 2, 11, 7, 1, 7, 5, 1},
  {0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11},
  {9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7},
  {7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2},
  {2, 5, 10, 2, 3, 5, 3, 7, 5},
  {8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5},
  {9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2},
  {9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2},
  {1, 3, 5, 3, 7, 5},
  {0, 8, 7, 0, 7, 1, 1, 7, 5},
  {9, 0, 3, 9, 3, 5, 5, 3, 7},
  {9, 8, 7, 5, 9, 7},
  {5, 8, 4, 5, 10, 8, 10, 11, 8},
  {5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0},
  {0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5},
  {10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4},
  {2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8},
  {0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11},
  {0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5},
  {9, 4, 5, 2, 11, 3},
  {2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4},
  {5, 10, 2, 5, 2, 4, 4, 2, 0},
  {3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9},
  {5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2},
  {8, 4, 5, 8, 5, 3, 3, 5, 1},
  {0, 4, 5, 1, 0, 5},
  {8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5},
  {9, 4, 5},
  {4, 11, 7, 4, 9, 11, 9, 10, 11},
  {0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11},
  {1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11},
  {3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4},
  {4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2},
  {9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3},
  {11, 7, 4, 11, 4, 2, 2, 4, 0},
  {11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4},
  {2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9},
  {9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7},
  {3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10},
  {1, 10, 2, 8, 7, 4},
  {4, 9, 1, 4, 1, 7, 7, 1, 3},
  {4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1},
  {4, 0, 3, 7, 4, 3},
  {4, 8, 7},
  {9, 10, 8, 10, 11, 8},
  {3, 0, 9, 3, 9, 11, 11, 9, 10},
  {0, 1, 10, 0, 10, 8, 8, 10, 11},
  {3, 1, 10, 11, 3, 10},
  {1, 2, 11, 1, 11, 9, 9, 11, 8},
  {3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9},
  {0, 2, 11, 8, 0, 11},
  {3, 2, 11},
  {2, 3, 8, 2, 8, 10, 10, 8, 9},
  {9, 10, 2, 0, 9, 2},
  {2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8},
  {1, 10, 2},
  {1, 3, 8, 9, 1, 8},
  {0, 9, 1},
  {0, 3, 8},
  {}
}