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Geometric Models Collection of V.N. Karazin Kharkiv National University About the Project

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Three-axial ellipsoids

Three-axial ellipsoids — of M. Schilling catalog

  • Curves
    • Types of curves on surfaces
      • Lines of curvature
  • Surfaces
    • Quadrics (surfaces of order two)
      • Classification of surfaces of 2nd order
  • Surfaces
    • Quadrics (surfaces of order two)
      • Ellipsoids and spheres
#quadric#ellipsoid#three-axial#lines of curvature#umbilical point#Diesel#Brill
Jacobi amplitude $\varphi=am(u,k)$

Jacobi amplitude $\varphi=am(u,k)$ — of M. Schilling catalog

  • Functions
    • Some special real functions
#ellipse#elliptic function#elliptic integral#special function#amplitude#Brill#Kuen#Wolff
Sphere as a rotationally symmetric surface of constant positive Gaussian curvature

Sphere as a rotationally symmetric surface of constant positive Gaussian curvature — of M. Schilling catalog

  • Surfaces
    • Quadrics (surfaces of order two)
      • Ellipsoids and spheres
  • Surfaces
    • Surfaces of constant Gaussian curvature
      • Surfaces of revolution of constant Gaussian curvature
#sphere#quadric#constant curvature#constant Gaussian curvature#surface of revolution#Brill
Spindle-shaped surface of constant positive Gaussian curvature

Spindle-shaped surface of constant positive Gaussian curvature — of M. Schilling catalog

  • Curves
    • Types of curves on surfaces
      • Geodesic lines
  • Surfaces
    • Surfaces of constant Gaussian curvature
      • Surfaces of revolution of constant Gaussian curvature
#constant curvature#spindle-shaped#constant Gaussian curvature#elliptic integral#geodesic line#Brill#brass
Cheese-shaped surface of constant positive Gaussian curvature

Cheese-shaped surface of constant positive Gaussian curvature — of M. Schilling catalog

  • Curves
    • Types of curves on surfaces
      • Geodesic lines
  • Surfaces
    • Surfaces of constant Gaussian curvature
      • Surfaces of revolution of constant Gaussian curvature
#constant curvature#constant Gaussian curvature#elliptic integral#geodesic line#Brill
Helicoid

Helicoid — of M. Schilling catalog

  • Curves
    • Types of curves on surfaces
      • Asymptotic lines
  • Curves
    • Types of curves on surfaces
      • Lines of curvature
  • Surfaces
    • Сonstant mean curvature surfaces
      • Minimal surfaces
#helix#minimal surface#rulings#line of curvature#asymptotic line#Brill#Herting
Geometric Models Collection of V.N. Karazin Kharkiv National University
  • Collections and Categories
  • About the Project