
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.
A torus should not be confused with a solid torus, which is formed by rotating a disc, rather than a circle, around an axis. A solid torus is a torus plus the volume inside the torus. Real-world approximations include doughnuts, many lifebuoys, and O-rings. Read more

Researchers Break a 150-Year-Old Math Law With a Surprising Donut Discovery SciTech Daily - April 5, 2026
A 150-year-old geometry rule has been overturned after mathematicians found two different torus surfaces with identical metric and curvature. A long-standing assumption in differential geometry has been overturned by mathematicians who found that key local properties of a surface may not uniquely define its overall shape.
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