# Multi-Directional Shape Change Analysis of Biotensegrity Model Mimicking Human Spine Curvature
## 4 Numerical Examples
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline  & \multicolumn{6}{c}{**Uni-Directional Mode**} \\ \hline \multirow{3}{*}{**Case**} & \multicolumn{2}{c}{**Target Displacement**} & \multirow{3}{*}{**Case**} & \multicolumn{2}{c}{**Target Displacement**} & \multirow{3}{*}{**Case**} & \multicolumn{2}{c}{**Target Displacement**} & \multirow{3}{*}{**Case**} & \multicolumn{2}{c}{**Target Displacement**} \\  & \multicolumn{2}{c}{**(mm)**} & & & & **(mm)** & & & & **(mm)** & \\ \cline{2-10}  & \(x\) & \(y\) & \(z\) & & \(x\) & \(y\) & \(z\) & & \(x\) & \(y\) & \(z\) \\ \hline \(\mathrm{Xn200}\) & \(-200\) & - & - & \(\mathrm{Xp200}\) & \(200\) & - & - & \(\mathrm{Zp200}\) & - & - & \(200\) \\ \hline \(\mathrm{Xn400}\) & \(-400\) & - & - & \(\mathrm{Xp400}\) & \(400\) & - & - & \(\mathrm{Zp400}\) & - & - & \(400\) \\ \hline \(\mathrm{Xn600}\) & \(-600\) & - & - & \(\mathrm{Xp600}\) & \(600\) & - & - & \(\mathrm{Zp600}\) & - & - & \(600\) \\ \hline \multicolumn{10}{c}{Bi-directional mode} \\ \hline \(\mathrm{XpYp200}\) & \(200\) & \(200\) & - & \(\mathrm{XnYn200}\) & \(-200\) & \(-200\) & - & \(\mathrm{XpYn200}\) & \(200\) & \(-200\) & - \\ \hline \(\mathrm{XpYp400}\) & \(400\) & \(400\) & - & \(\mathrm{XnYn400}\) & \(-400\) & \(-400\) & - & \(\mathrm{XpYn400}\) & \(400\) & \(-400\) & - \\ \hline \(\mathrm{XpYp600}\) & \(600\) & \(600\) & - & \(\mathrm{XnYn600}\) & \(-600\) & \(-600\) & - & \(\mathrm{XpYn600}\) & \(600\) & \(-600\) & - \\ \hline \multicolumn{10}{c}{Tri-directional mode} \\ \hline \(\mathrm{XpYp200Z}\) & \(200\) & \(200\) & - & \(\mathrm{XpYn200Z}\) & \(200\) & \(-200\) & - & \(\mathrm{XnYn200Z}\) & \(-200\) & \(-200\) & - \\ \hline \(\mathrm{XpYp200}\) & \(200\) & \(200\) & \(200\) & \(\mathrm{XpYn200}\) & \(200\) & \(-200\) & \(-400\) & \(\mathrm{XnYn200}\) & \(-200\) & \(-200\) & \(600\) \\ \hline \(\mathrm{XpYp400}\) & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(200\)} & \multirow{2}{*}{\(\mathrm{XpYn400}\)} & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-200\)} & \multirow{2}{*}{\(\mathrm{XnYn400}\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-200\)} \\ \(\mathrm{Zp200}\) & & & & & & & & & \\ \hline \(\mathrm{XpYp400}\) & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(-200\)} & \multirow{2}{*}{\(\mathrm{XpYn400}\)} & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-200\)} \\ \(\mathrm{Zp200}\) & & & & & & & & & \\ \hline \(\mathrm{XpYp400}\) & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(-200\)} & \multirow{2}{*}{\(\mathrm{XpYn400}\)} & \multirow{2}{*}{\(400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-400\)} & \multirow{2}{*}{\(-400\)} \\ \(\mathrm{Zp200}\) & & & & & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Target displacements in some of the shape change analysis cases. Figure 5: Cases of target displacements: (**a**) uni-directional; (**b**) bi-directional; and (**c**) tri-directional modes.