Incidence matrix
4 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0 e
* 4 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1 a
----+--------+-----------+----------
2 0 | 6 * * | 2 2 0 0 | 1 2 1 0 0 ef x
1 1 | * 12 * | 0 2 2 0 | 0 1 2 1 0 af q
0 2 | * * 6 | 0 0 2 2 | 0 0 1 2 1 ab q
----+--------+-----------+----------
3 0 | 3 0 0 | 4 * * * | 1 1 0 0 0 efg x3o = verf(tet)
2 1 | 1 2 0 | * 12 * * | 0 1 1 0 0 efc xo&#q = verf(trip)
1 2 | 0 2 1 | * * 12 * | 0 0 1 1 0 abg q3o = verf(cube)
0 3 | 0 0 3 | * * * 4 | 0 0 0 1 1 abc q3o = verf(cube)
----+--------+-----------+----------
4 0 | 6 0 0 | 4 0 0 0 | 1 * * * * efgh x3o3o = verf(pen)
3 1 | 3 3 0 | 1 3 0 0 | * 4 * * * efgd xo3oo&#q = verf(tepe)
2 2 | 1 4 1 | 0 2 2 0 | * * 6 * * efcd xo oq&#q = verf(tisdip)
1 3 | 0 3 3 | 0 0 3 1 | * * * 4 * abch q3o3o = verf(tes)
0 4 | 0 0 6 | 0 0 0 4 | * * * * 1 abcd q3o3o = verf(tes)