| No. of vertices | Graph | Intersection Array |
| $8$ | $\text{Cube }Q_3 \cong K_{4,4}-I \cong H(3,2)$ | $\{3,2,1;1,2,3\}$ |
| $10$ | $\text{Petersen graph }O_3$ | $\{3,2;1,1\}$ |
| $14$ | $\text{Heawood graph}$ | $\{3,2,2;1,1,3\}$ |
| $18$ | $\text{Pappus graph}$ | $\{3,2,2,1;1,1,2,3\}$ |
| $20$ | $\text{Desargues graph }D(O_3)$ | $\{3,2,2,1,1;1,1,2,2,3\}$ |
| $20$ | $\text{Dodecahedron}$ | $\{3,2,1,1,1;1,1,1,2,3\}$ |
| $28$ | $\text{Coxeter graph}$ | $\{3,2,2,1;1,1,1,2\}$ |
| $30$ | $\text{Tutte's 8-cage}$ | $\{3,2,2,2;1,1,1,3\}$ |
| $90$ | $\text{Foster graph}$ | $\{3,2,2,2,2,1,1,1;1,1,1,1,2,2,2,3\}$ |
| $102$ | $\text{Biggs-Smith graph}$ | $\{3,2,2,2,1,1,1;1,1,1,1,1,1,3\}$ |
| $126$ | $\text{Tutte's 12-cage}$ | $\{3,2,2,2,2,2;1,1,1,1,1,3\}$ |
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Last updated: 21 February 2017