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From left to right: surfaces of negative Gaussian curvature (hyperboloid), zero Gaussian curvature (cylinder), and positive Gaussian curvature (sphere).
 
Some points on the torus have positive, some have negative, and some have zero Gaussian curvature.

NounEdit

Gaussian curvature (plural Gaussian curvatures)

  1. (differential geometry) The product of the principal curvatures of a surface at a given point.
    Synonym: Gauss curvature