Catenoid with geodesic lines

Categories

• Curves
  • Types of curves on surfaces
    • Geodesic lines

• Surfaces
  • Сonstant mean curvature surfaces
    • Minimal surfaces

Description

Catenoid is a non-compact surface of revolution obtained after rotation of a catenary line $y = a \cosh \frac{x}{a}$ around the $x$-axis. It is an example of a surface with zero mean curvature (so-called, minimal surface).

Line drawn on the model are geodesic lines.

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