// Cells and their vertices.
#0={0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,19,20,22,24}
#1={12,18,21,23,25,26,27}

// Induced graph on cells.
#0:.
#1:->#0.

// Individual cells.
// cell #0:
0[0]: {1,2,3,4,5} --> 1
1[1]: {1,2,3,4,6} --> 0,2,3
2[2]: {1,2,3,5,6} --> 1,4,5
3[3]: {1,2,3,4,7,8} --> 1,5
4[4]: {1,2,4,5,6} --> 2,6,8
5[5]: {1,2,3,5,7,8} --> 2,3,7,8
6[6]: {1,3,4,5,6} --> 4,9,11
7[7]: {1,2,3,6,7,8} --> 5,10
8[8]: {1,2,4,5,7,8} --> 4,5,10,11
9[9]: {2,3,4,5,6} --> 6,14
10[10]: {1,2,4,6,7,8} --> 7,8,12,13
11[11]: {1,3,4,5,7,8} --> 6,8,13,14
12[13]: {1,2,5,6,7,8} --> 10,15
13[14]: {1,3,4,6,7,8} --> 10,11,15,16
14[15]: {2,3,4,5,7,8} --> 9,11,16
15[16]: {1,3,5,6,7,8} --> 12,13,17,18
16[17]: {2,3,4,6,7,8} --> 13,14,18
17[19]: {1,4,5,6,7,8} --> 15,19
18[20]: {2,3,5,6,7,8} --> 15,16,19
19[22]: {2,4,5,6,7,8} --> 17,18,20
20[24]: {3,4,5,6,7,8} --> 19

// cell #1:
0[12]: {1,2,3,4,5,6} --> 1
1[18]: {1,2,3,4,5,7,8} --> 0,2
2[21]: {1,2,3,4,6,7,8} --> 1,3
3[23]: {1,2,3,5,6,7,8} --> 2,4
4[25]: {1,2,4,5,6,7,8} --> 3,5
5[26]: {1,3,4,5,6,7,8} --> 4,6
6[27]: {2,3,4,5,6,7,8} --> 5