A torus in R^3 is a doughnut-shaped surface generated by revolving a circle around an axis that does not intersect the circle. This shape is characterized by its two distinct radii: the major radius (distance from the center of the tube to the center of the torus) and the minor radius (radius of the tube itself). The torus serves as an essential example of a two-dimensional embedded submanifold in three-dimensional Euclidean space.
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