q v$_{c}$ (H) v$_{c}$ (N) c (T) c (N) X$_{h}$ (T) X$_{h}$ (N) 0 . 5 1.115482279992555 1.1154309(3) -0.445833945 -0.4458340(2) 0.082757037 0.082757(1) 1 . 0 1.505450910604828 1.5053987(1) 0 0 0.104166667 0.104167(1) 1 . 5 1.790803965420646 1.7907720(2) 0.288024142 0.288024(1) 0.116778423 0.11678(1) 2 . 0 2.024382957091806 2.02438295(3) 0.5 0.500000(1) 1/8 0.1250000(1) 2 . 5 2.225885325024986 2.2259229(2) 0.66584083 0.66584(1) 0.130338138 0.13034(1) 3 . 0 2.405138877193783 2.4052181(3) 4/5 0.8001(1) 2/15 0.1333(1) 3 . 5 2.567855953492942 2.567981(2) 0.910294591 0.910(1) 0.133771753 0.1339(3) 4 . 0 2.717691692682905 2.717856(2) 1 0.99(1) 1/8 0.13(1) q v$_{c}$ (H) v$_{c}$ (N) c (T) c (N) X$_{h}$ (T) X$_{h}$ (N) 0 . 5 1.236699591471530 1.2366855(3) -0.445833945 -0.4458340(2) 0.082757037 0.0827569(2) 1 . 0 1.626971272019731 1.6269594(2) 0 0 0.104166667 0.104167(1) 1 . 5 1.906766682469675 1.906760(1) 0.288024142 0.288024(1) 0.116778423 0.116779(2) 2 . 0 2.133002727374153 2.13300273(1) 0.5 0.500000(1) 1/8 0.1250000(1) 2 . 5 2.326449318777172 2.32645568(5) 0.66584083 0.66585(1) 0.130338138 0.130338(1) 3 . 0 2.497336478778200 2.4973486(2) 4/5 0.800(1) 2/15 0.1333(1) 3 . 5 2.651556985414795 2.651575(3) 0.910294591 0.91(1) 0.133771753 0.1338(1) 4 . 0 2.79285603450327 2.79288(2) 1 0.999(1) 1/8 0.13(1) TABLE III: Critical properties of the Potts model on the (2 × 2) : (2 × 2) kagome lattice. (H = Homogeneity Assumption, N = Numerical, T = Theoretical universality prediction.) TABLE IV: Critical properties of the Potts model on the (3 × 3) : (3 × 3) kagome lattice. (H = Homogeneity Assumption, N = Numerical, T = Theoretical universality prediction.) Our numerical results for bond percolation are summarized in Table VI for the 3-12 lattice and the ( n × n ) : ( n × n ) subnet kagome-type lattices. For the kagome lattice, we found p$_{c}$ = 0 . 524404978(5), which coincides with the best estimation [24]. For the 3-12 lattice our numerical result of p$_{c}$ = 0 . 74042077(2) is in agreement with other findings [11, 33, 34] to 6 decimal places. For kagome-type subnet lattices, our numerical analysis determines p$_{c}$ with an accuracy up to 7 or 8 decimal places. In Table VI we also give thresholds computed using the homogeneity assumption (6). The 17