Among three dimensional technologeeks, they are customed to see a solid torus that can be fibered as the $M\ddot{o}\stackrel{\sim}\times I$, the twisted interval bundle over the Möbius strip.  In constrast $M\ddot{o}\times I$ is the genus one non orientable handlebody: the solid Klein bottle. Isn’t difficult to prove that they are the only two $I$-bundles over $M\ddot{o}$