$^{in Table VII. Explicitly, the thresholds for site percolation on (1}$× 1) : ( $^{n}$× n ) kagome-type subnet lattices, 1 ≤ n ≤ 6, in Table VII are as follows: The threshold s$_{c}$ $^{= 1}$− 2 sin( π/ 18) for the n = 1 kagome lattice was first given in [35]. The threshold s$_{c}$ = 1 $_{/}$√$_{2 for}$ n = 2 has also been obtained by a “cell-to-cell” transformation in [36]. Here, the thresholds for 3 ≤ n ≤ 6 are new. We also computed s$_{c}$ and other critical properties numerically. The results are summa- rized in Table VII. Again, our numerical estimates of s$_{c}$ agree with the exact results up to 7 decimal places, and these models all belong to the two-dimensional q = 1 Potts model universality class. Finally, we comment on some numerical specifics. Since the number of non-crossing partitions for site percolation is much larger than that of the Potts model in both the magnetic and non-magnetic sector for a given circumference L , the maximum system size L = 12 that we reached is smaller. The largest dimension of arrays used to save values and positions of nonzero elements of the sparse matrices is d S ( m ) L =13 = 125481607, which requires about 43 gigabytes computer memory in the calculations. Corrections to scaling due to the leading irrelevant field is about − 1 . 8(1) for all lattices. 21 $^{1}$− 3 s 2 + s 3 = 0 , ( n = 1) (36) $^{1}$− 3 s 3 − 3 s 4 + 6 s 5 − 2 s 6 = 0 , ( n = 2) (37) $^{1}$− 3 s 4 − 9 s 5 + 9 s 6 + 11 s 7 − 12 s 8 + s 9 + s 10 = 0 , ( n = 3) (38) $^{1}$− 3 s 5 − 18 s 6 + 12 s 7 + 12 s 8 + 41 s 9 − 66 s 10 + 9 s 11 − 9 s 12 + 48 s 13 − 36 s 14 + 8 s 15 = 0 , ( n = 4) (39) $^{1}$− 3 s 6 − 30 s 7 + 60 s 9 − 30 s 10 + 216 s 11 − 329 s 12 − 48 s 13 + 3 s 14 + 396 s 15 +180 s 16 − 1113 s 17 + 1038 s 18 − 393 s 19 + 48 s 20 + 3 s 21 = 0 , ( n = 5) (40) $^{1}$− 3 s 7 − 45 s 8 − 45 s 9 + 165 s 10 − 75 s 11 + 165 s 12 + 510 s 13 − 1056 s 14 − 959 s 15 + 367 s 16 +2349 s 17 + 3433 s 18 − 6589 s 19 − 9069 s 20 + 22070 s 21 − 11495 s 22 − 3597 s 23 + 4455 s 24 +702 s 25 − 1971 s 26 + 792 s 27 − 106 s 28 = 0 , ( n = 6) . (41)