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Hyperboloid vs Torus - What's the difference?

hyperboloid | torus |

As nouns the difference between hyperboloid and torus

is that 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 while torus is torus (shape).

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

    torus

    English

    (wikipedia torus)

    Noun

    (en-noun)
  • (topology) A topological space which is a product of two circles.
  • A 4-variable Karnaugh map can be thought of, topologically, as being a torus .
  • (mathematics) The standard representation of such a space in 3-dimensional Euclidean space: a shape consisting of a ring with a circular cross-section: the shape of an inner tube or hollow doughnut.
  • The product of the specified number of circles.
  • (architecture) A molding which projects at the base of a column and above the plinth.
  • (botany) The end of the peduncle or flower stalk to which the floral parts (or in the Asteraceae, the florets of a flower head) are attached; see receptacle.
  • Derived terms

    * toric, toroid, toroidal * solid torus

    See also

    * annulus * hoop