A hyperboloid of one sheet is a type of quadric surface that appears curved along all axes but remains connected. It looks like an hourglass or a cooling tower.
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} - \frac{z^2}{c^2} = 1 \] where \(a\), \(b\), and \(c\) are real, positive constants defining the axis scaling.