双曲放物面とその線織面
\( \boldsymbol{x}(u_{1}, v_{1}) = \begin{pmatrix} a u_{1} \\ b v_{1} \\ u_{1}^{2} - v_{1}^{2} \end{pmatrix} \)
\( (- 2 \leq u_{1} \leq 2, \, - 2 \leq v_{1} \leq 2) \),
\( \boldsymbol{x}(u_{2}, v_{2}) = u_{2} \hskip 0.1em \begin{pmatrix} \dfrac{a}{2} \\[1ex] \dfrac{b}{2} \\[1ex] v_{2} \end{pmatrix} + \begin{pmatrix} \dfrac{a v_{2}}{2} \\[1ex] - \dfrac{b v_{2}}{2} \\[1ex] 0 \end{pmatrix} \)
\( (- 2 \leq u_{2} \leq 2, \, - 2 \leq v_{2} \leq 2) \)
\( a = \) ,
\( b = \)
\( (0.1 \leq a, b \leq 10) \)