A surface of revolution obtained by rotating a closed plane curve about an axis parallel to the plane which does not intersect the curve. The simplest toroid is the torus. The word is also used to refer to a toroidal polyhedron (Gardner 1975).

# Toroid

## See also

Pappus's Centroid Theorem, Surface of Revolution, Tangent-Sphere Coordinates Toroidal Polyhedron, Torus## Explore with Wolfram|Alpha

## References

Gardner, M. "Mathematical Games: On the Remarkable Császár Polyhedron and Its Applications in Problem Solving."*Sci. Amer.*

**232**, 102-107, May 1975.

## Referenced on Wolfram|Alpha

Toroid## Cite this as:

Weisstein, Eric W. "Toroid." From *MathWorld*--A
Wolfram Web Resource. https://mathworld.wolfram.com/Toroid.html