Steiner Triples

This website is named after Steiner Triple Systems (a mathematical construction).

It hosts databases of public interests, like JORFsearch and others.

n = 3:
{{0, 1, 2}}

n = 7:
{{0, 1, 3}, {0, 2, 4}, {0, 5, 6}, {1, 2, 6}, {1, 4, 5}, {2, 3, 5}, {3, 4, 6}}

n = 9:
{{0, 1, 5}, {0, 2, 4}, {0, 3, 6}, {0, 7, 8}, {1, 2, 3}, {1, 4, 7}, {1, 6, 8}, {2, 5, 8}, {2, 6, 7}, {3, 4, 8}, {3, 5, 7}, {4, 5, 6}}

n = 13:
{{0, 1, 6}, {0, 2, 5}, {0, 3, 7}, {0, 4, 8}, {0, 9, 11}, {0, 10, 12}, {1, 2, 7}, {1, 3, 4}, {1, 5, 9}, {1, 8, 10}, {1, 11, 12}, {2, 3, 6}, {2, 4, 12}, {2, 8, 9}, {2, 10, 11}, {3, 5, 12}, {3, 8, 11}, {3, 9, 10}, {4, 5, 10}, {4, 6, 9}, {4, 7, 11}, {5, 6, 11}, {5, 7, 8}, {6, 7, 10}, {6, 8, 12}, {7, 9, 12}}

n = 15:
{{0, 1, 8}, {0, 2, 6}, {0, 3, 9}, {0, 4, 7}, {0, 5, 10}, {0, 11, 14}, {0, 12, 13}, {1, 2, 9}, {1, 3, 7}, {1, 4, 5}, {1, 6, 11}, {1, 10, 12}, {1, 13, 14}, {2, 3, 5}, {2, 4, 8}, {2, 7, 12}, {2, 10, 14}, {2, 11, 13}, {3, 4, 6}, {3, 8, 13}, {3, 10, 11}, {3, 12, 14}, {4, 9, 14}, {4, 10, 13}, {4, 11, 12}, {5, 6, 13}, {5, 7, 11}, {5, 8, 14}, {5, 9, 12}, {6, 7, 14}, {6, 8, 12}, {6, 9, 10}, {7, 8, 10}, {7, 9, 13}, {8, 9, 11}}