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Toroid vs Hyperboloid - What's the difference?

toroid | hyperboloid |

As nouns the difference between toroid and hyperboloid

is that toroid is (mathematics) a surface generated by a closed curve (especially a circle) rotating about, but not intersecting or containing, an axis in its own plane while hyperboloid is a particular surface in three-dimensional euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.

toroid

English

(wikipedia toroid)

Noun

(en noun)
  • (mathematics) A surface generated by a closed curve (especially a circle) rotating about, but not intersecting or containing, an axis in its own plane.
  • A ring-shaped object whose surface is a torus.
  • Quotations

    * 1994', The photon belt, a huge '''torroid ''[sic]'' shaped object composed of photon light particles, was first discovered by your scientists in 1961 near the vicinity of the Pleiades by satellite instrumentation. — ''You are Becoming a Galactic Human , by Virginia Essene and Sheldon Nidel, ISBN 0937147087, pp. 27–28

    hyperboloid

    English

    Noun

    (en noun)
  • A particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.
  • Usage notes

    * If the hyperboloid is a connected surface, it is said to be (term); otherwise, it has two components and is said to be (term). *

    Derived terms

    *hyperboloidal