Incidence matrix

60 ♦   6  3 |  6  12  6 |  6 12  6 |  6 3
---+--------+-----------+----------+-----
 2 | 180  * |  2   2  1 |  2  4  2 |  3 2
 2 |   * 90 |  0   4  2 |  2  4  4 |  4 2
---+--------+-----------+----------+-----
 4 |   4  0 | 90   *  * |  1  2  0 |  2 1
 4 |   2  2 |  * 180  * |  1  1  1 |  2 1
 6 |   3  3 |  *   * 60 |  0  2  2 |  2 2
---+--------+-----------+----------+-----
 8 |   8  4 |  2   4  0 | 45  *  * |  2 0  (cube)
12 |  12  6 |  3   3  2 |  * 60  * |  1 1  (hip)
12 |  12 12 |  0   6  4 |  *  * 30 |  1 1  (cho)
---+--------+-----------+----------+-----
24 |  36 24 | 12  24  8 |  6  4  2 | 15 *  (chope)
30 |  60 30 | 15  30 20 |  0 10  5 |  * 6  (garpop)