Wolfram Mathworld gives us a better definiton for a torus and its properties:
"An (ordinary) torus is a surface having genus one, and therefore possessing a single "hole". The single-holed "ring" torus is known in older literature as an "anchor ring." It can be constructed from a rectangle by gluing both pairs of opposite edges together with no twists (Gardner 1971, pp. 15-17; Gray 1997, pp. 323-324). The usual torus embedded in three-dimensional space is shaped like a donut, but the concept of the torus is extremely useful in higher dimensional space as well."
Here are some technical depictions of a torus:
Wolfram also provides us with this technical chart, too:
What is your favorite kind of torus to eat?