Incidence matrix
4 * | 3 1 3 0 | 3 3 6 3 0 | 3 3 3 1 a
* 4 | 0 1 3 3 | 0 3 3 6 3 | 3 1 3 3 e
----+----------+-------------+--------
2 0 | 6 * * * | 2 1 2 0 0 | 2 2 1 0 ab q
1 1 | * 4 * * | 0 3 0 0 0 | 3 0 0 0 ae x(8/3)
1 1 | * * 12 * | 0 0 2 2 0 | 0 1 2 1 af q
0 2 | * * * 6 | 0 1 0 2 2 | 2 0 1 2 ef x
----+----------+-------------+--------
3 0 | 3 0 0 0 | 4 * * * * | 1 1 0 0 abc q3o = verf(cube)
2 2 | 1 2 0 1 | * 6 * * * | 2 0 0 0 abfe xq&#x(8/3) = verf(gocco)
2 1 | 1 0 2 0 | * * 12 * * | 0 1 1 0 abg q3o = verf(cube)
1 2 | 0 0 2 1 | * * * 12 * | 0 0 1 1 cef xo&#q = verf(trip)
0 3 | 0 0 0 3 | * * * * 4 | 1 0 0 1 efg x3o = verf(tet)
----+----------+-------------+--------
3 3 | 3 3 0 3 | 1 3 0 0 1 | 4 * * * abcefg xq3oo&#x(8/3) verf(gittith)
3 1 | 3 0 3 0 | 1 0 3 0 0 | * 4 * * abch q3o3o = verf(tes)
2 2 | 1 0 4 1 | 0 0 2 2 0 | * * 6 * cdef xo oq&#q = verf(tisdip)
1 3 | 0 0 3 3 | 0 0 0 3 1 | * * * 4 efgd xo3oo&#q = verf(tepe)