pseudosphere

Meanings

1. 1
   noun

   a surface of constant negative Gaussian curvature, classically generated by rotating a tractrix about its asymptote

   The mathematician used a pseudosphere to illustrate a locally hyperbolic geometry.

Formed from pseudo- ("false, resembling") + sphere. The name contrasts its curved, sphere-like appearance with its constant negative curvature, whereas an ordinary sphere has constant positive curvature.

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