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Torus vs Ellipsoid - What's the difference?

torus | ellipsoid |

In mathematics terms the difference between torus and ellipsoid

is that torus is 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 while ellipsoid is of or pertaining to an ellipse.

In botany terms the difference between torus and ellipsoid

is that torus is 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 while ellipsoid is having the tridimensional shape of an ellipse rotated on its long axis.

As nouns the difference between torus and ellipsoid

is that torus is a topological space which is a product of two circles while ellipsoid is a surface, all of whose cross sections are elliptic or circular (includes the sphere.

As an adjective ellipsoid is

shaped like an ellipse; elliptical.

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

    ellipsoid

    English

    Noun

    (wikipedia ellipsoid) (en noun)
  • (mathematics) a surface, all of whose cross sections are elliptic or circular (includes the sphere)
  • (geography) Such a surface used as a model of the shape of the earth.
  • Here the geoid is thirty meters below the ellipsoid .

    Derived terms

    * ellipsoid of revolution

    Adjective

    (en adjective)
  • Shaped like an ellipse; elliptical.
  • (mathematics) Of or pertaining to an ellipse.
  • (botany) Having the tridimensional shape of an ellipse rotated on its long axis.
  • Derived terms

    * ellipsoid geodesic * ellipsoid method * ellipsoid packing * subellipsoid