## 4 Extracting the Data for Area Coverage and Energy
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & & \multicolumn{2}{c}{**Area Coverage**} & \multicolumn{2}{c}{**Energy**} \\ \cline{3-6}  & & **Area \%** & **Real Value (m\({}^{2}\))** & **Energy \%** & **Real Value (A)** \\ \hline \multirow{8}{*}{**Sub-Area 4**} & Tiling set 1 & 91.503 & 2.744 & 18.23 & 1.349 \\  & Tiling set 2 & 94.117 & 2.8224 & 16.79 & 1.242 \\  & Tiling set 3 & 86.2745 & 2.5872 & 17.10 & 1.265 \\  & Tiling set 4 & 91.503 & 2.744 & 17.39 & 1.287 \\  & Tiling set 5 & 96.732 & 2.9008 & 16.58 & 1.227 \\ \hline \multirow{8}{*}{**Sub-Area 4**} & Tiling set 1 & 77.124 & 2.3128 & 16.89 & 1.779 \\  & Tiling set 2 & 80.392 & 2.4108 & 17.66 & 1.767 \\ \cline{1-1}  & Tiling set 3 & 73.202 & 2.1952 & 15.16 & 1.795 \\ \cline{1-1}  & Tiling set 4 & 84.313 & 2.5284 & 16.78 & 1.801 \\ \cline{1-1}  & Tiling set 5 & 81.045 & 2.4304 & 17.09 & 1.780 \\ \cline{1-1} \cline{2-6}
2.9988 m\({}^{2}\) (_obs-free_) & Tiling set 1 & 81.04 & 2.4304 & 16.51 & 1.771 \\ \cline{1-1}  & Tiling set 2 & 83.66 & 2.5088 & 16.66 & 1.770 \\ \cline{1-1}  & Tiling set 3 & 86.274 & 2.5872 & 17.71 & 1.799 \\ \cline{1-1}  & Tiling set 4 & 75.816 & 2.2736 & 15.39 & 1.787 \\ \cline{1-1}  & Tiling set 5 & 78.431 & 2.352 & 17.41 & 1.770 \\ \hline \multirow{8}{*}{**Theorem 4**} & Tiling set 1 & 73.202 & 2.1952 & 15.89 & 1.799 \\  & Tiling set 2 & 83.66 & 2.5088 & 17.55 & 1.769 \\ \cline{1-1}  & Tiling set 3 & 83.66 & 2.5088 & 16.70 & 1.767 \\ \cline{1-1}  & Tiling set 4 & 81.045 & 2.4304 & 17.45 & 1.775 \\ \cline{1-1}  & Tiling set 5 & 83.66 & 2.5088 & 16.10 & 1.778 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Data for area coverage and energy for sub-area 4. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & & \multicolumn{2}{c}{**Area Coverage**} & \multicolumn{2}{c}{**Energy**} \\ \cline{3-6}  & & **Area \%** & **Real Value (m\({}^{2}\))** & **Energy \%** & **Real Value (A)** \\ \hline \multirow{8}{*}{**Theorem 1**} & Tiling set 1 & 82.825 & 2.8224 & 19.81 & 1.466 \\  & Tiling set 2 & 83.116 & 2.5088 & 19.06 & 1.410 \\  & Tiling set 3 & 90.909 & 2.744 & 19.59 & 1.449 \\  & Tiling set 4 & 83.116 & 2.5088 & 18.36 & 1.358 \\  & Tiling set 5 & 93.506 & 2.8224 & 19.48 & 1.442 \\ \hline \multirow{8}{*}{**Sub-Area 3**} & Tiling set 1 & 77.92 & 2.352 & 18.43 & 1.710 \\  & Tiling set 2 & 80.519 & 2.4304 & 17.78 & 1.702 \\  & Tiling set 3 & 70.12 & 2.1168 & 18.01 & 1.691 \\
**3.3124 m\({}^{2}\)** & Tiling set 4 & 72.227 & 2.1952 & 17.44 & 1.699 \\  & Tiling set 5 & 75.32 & 2.2736 & 18.07 & 1.710 \\ \cline{1-1} \cline{2-6}  3.0184 m\({}^{2}\) (_obs-free_) & Tiling set 1 & 81.8181 & 2.4696 & 19.91 & 1.701 \\  & Tiling set 2 & 83.116 & 2.5088 & 18.21 & 1.699 \\  & Tiling set 3 & 85.714 & 2.5872 & 19.35 & 1.701 \\  & Tiling set 4 & 83.116 & 2.5088 & 19.71 & 1.717 \\  & Tiling set 5 & 77.922 & 2.352 & 19.22 & 1.729 \\ \hline \multirow{8}{*}{**Theorem 4**} & Tiling set 1 & 75.32 & 2.2736 & 17.41 & 1.711 \\  & Tiling set 2 & 80.519 & 2.4304 & 19.09 & 1.737 \\ \cline{1-1}  & Tiling set 3 & 80.519 & 2.4304 & 19.45 & 1.712 \\ \cline{1-1}  & Tiling set 4 & 80.519 & 2.4304 & 19.32 & 1.724 \\ \cline{1-1}  & Tiling set 5 & 80.519 & 2.4304 & 19.88 & 1.718 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Data for area coverage and energy for sub-area 3.