# can you see a solid torus?

The image on the right is a solid torus with four lateral annulus in colours: orange, green, yellow and blue.

Solid tori are important elementary type of 3-manifolds. Also called orientable genus one handlebodies and can be fibered -in the sense of Seifert- by longitudinal circles, and in many different ways.

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 $M\ddot{o}$