Pseudosphere

Categories

• Curves
  • Types of curves on surfaces
    • Geodesic lines

• Curves
  • Types of curves on surfaces
    • Asymptotic lines

• Surfaces
  • Surfaces of constant Gaussian curvature
    • Surfaces of revolution of constant Gaussian curvature

Description

Pseudosphere is the surface of revolution of constant negative Gaussian curvature generated by rotation of a tractrix

$t \mapsto \left(\sin t, \pm (\log \tan \frac{t}{2} + \cos t)\right)$, $0\leqslant t + \infty$

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