## 6 Results and Discussion
### Similarity of an Auspicious Pattern between Any Two Surveyed Artists
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Orientation** & **Artist** & **[PERSON]** & **[PERSON]** & **[PERSON], [PERSON]** & **[PERSON]** & **[PERSON]** & **[PERSON]** & **[PERSON] [PERSON]** \\ \hline \multirow{8}{*}{0\({}^{\circ}\)} & [PERSON], [PERSON] & & [1,1,1,1,1,0,1] & [1,0,0,1,0,1,0] & [1,1,1,1,1,1,0] & [1,1,1,1,1,0,1] & [0,0,0,0,0,1,0] & [0,1,1,0,1,1,0] \\  & [PERSON], [PERSON] & & & [1,1,1,1,1,1,0] & [1,1,1,1,1,1,1] & [0,0,0,0,0,1,0] & [1,0,1,1,1,1,0] & [1,1,1,1,1,1,0] \\  & [PERSON], [PERSON] & & & & [1,1,1,1,1,1,1] & [1,1,1,1,1,0,1] & [0,0,0,0,0,0] & [1,1,1,1,1,1,0] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1,1] & [1,1,1,1,0,1] & [0,0,0,0,0,0] & [1,1,1,1,1,1,0] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1] & [1,1,1,1,1,0] & [1,1,0,1,0,1,1] \\  & [PERSON], [PERSON] & & & & & [1,0,1,1,0,0] & [1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & & & [0,1,1,0,1,1,0] \\ \hline \multirow{8}{*}{45\({}^{\circ}\)} & [PERSON], [PERSON]-[PERSON] & & [1,0,1,1,1,0,1] & [0,0,0,0,0,0] & [1,1,1,1,1,1] & [1,0,1,1,0,1,1] & [0,0,0,0,1,0] & [0,1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & [1,1,1,1,1,0,1] & [1,1,1,1,1,1,1] & [0,0,0,0,0,0] & [1,0,1,1,1,0,1] & [1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & [1,1,1,1,1,1,1] & [1,1,1,1,0,1] & [0,0,0,0,0,0] & [1,1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,0,1] & [1,1,1,1,1,0] & [1,0,0,1,0,1,1] \\  & [PERSON], [PERSON] & & & & & [1,0,0,1,0,0] & [1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1] \\ \hline \multirow{8}{*}{90\({}^{\circ}\)} & [PERSON], [PERSON] & & [1,1,1,1,0,1] & [0,0,0,0,0,0,1] & [0,1,1,1,1,1,1] & [1,1,1,1,1,0] & [0,0,0,0,0,1] & [0,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & [1,1,1,1,1,0,1] & [1,1,1,1,1,1,1] & [0,0,0,0,0,0,1] & [1,1,1,1,1,1,1] & [1,1,1,1,1,1,0] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1,1] & [1,0,0,0,0,1,0] & [0,1,1,0,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1,1] & [0,1,0,1,0,1,0] & [1,1,0,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1,1] & [1,1,1,1,1,1] & [1,1,1,1,1,1] \\  & [PERSON], [PERSON]-[PERSON] & & & & & [1,1,1,1,1,1,1] & [1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1,1] \\ \hline \multirow{8}{*}{135\({}^{\circ}\)} & [PERSON], [PERSON]-[PERSON] & & [1,0,1,1,1,0,1] & [0,0,0,0,0,0] & [1,1,1,1,1,1,1] & [1,0,1,1,1,0,1] & [0,0,0,0,0,0,0] & [0,1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & [1,1,1,1,1,0,1] & [1,1,1,1,1,1,1] & [0,0,0,0,0,1,0] & [1,0,1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,0,1] & [1,1,1,1,0,1] & [0,0,0,0,0,0] & [1,1,1,1,1,1,1] \\  & [PERSON], [PERSON]-[PERSON] & & & & & [1,1,1,1,1,1,1] & [1,0,0,0,0,1,0] & [1,1,1,1,1,1,1] \\  & [PERSON], [PERSON]-[PERSON] & & & & & [1,1,1,1,1,1,1] & [1,0,0,1,0,1,1] \\  & [PERSON], [PERSON]-[PERSON] & & & & & [1,0,1,1,0,0,0] & [1,1,1,1,1,1,1] \\  & [PERSON], [PERSON] & & & & & [1,1,1,1,1,1,1] \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Two-tailed \(t\)-test results for similarity between any two surveyed artists’ fish scales patterns in the orientations. Figure 6: A diagram of master and apprentice relationships between the surveyed artists (black coloring) and their mentors (gray coloring). Based on the diagram of the master and apprentice relationships in Figure 6, the two-tailed \(t\)-test results in Tables 3 and 4 are discussed. Most of the two-tailed \(t\)-test results successfully indicate the differences in the painting styles between the two main family genres of [PERSON] and [PERSON]. For instance, Table 3 demonstrates that the painting style of [PERSON] is significantly different from those of [PERSON], [PERSON], and [PERSON]. Moreover, Table 4 shows that the painting style of [PERSON]. [PERSON] is robustly different from those of [PERSON] and [PERSON].