Wpf: Parametric surfaces

Parametric curves and surfaces

• Surfaces of translation
  • Regular polygone as generator
  • Hypocycloid as generator
  • Archimedes spiral as generator
  • Fermat spiral as generator
• Surfaces of revolution: spheres and related
  • Prism and cylinder
  • Pyramid and cone
  • Frustum and cone frustum
  • Insolator
  • Gabriels Horn
  • Funnel
  • One-Sheeted Hyperboloid
  • Catenoid
  • Gauss Cylinder
  • Paraboloid
  • Vase
  • Sphere
    • User.ParametricSphere()
  • Prolate Spheroid
    • User.ProlateSpheroid()
  • Oblate Spheroid
    • User.OblateSpheroid()
  • Drop surface
  • Apple surface
  • Spinning top
    • User.SpinningTop()
  • Pseudosphere
    • User.Pseudosphere()
  • Wave sphere Surface
  • Low resolution torus surface, part1
  • Low resolution torus surface, part2
  • Low resolution torus surface, part3
  • Torus
    • User.Torus()
  • Horn Torus
  • Spindle Torus
  • Elliptic Torus
    • User.EllipticTorus()
• Generalisations of common surfaces
  • Ellipsoid
  • Superellipsoid
  • Hexaedron
  • Super Toroid
  • Elliptic Helicoid
  • Hyperbolic Helicoid
  • Lemniscape
  • Bohemian Dome
  • Dupin1 surface
  • Dupin2 surface
  • Dinis Surface (twisted pseudosphere)
  • Plueckers conoid
  • Umbilic Torus
  • Skidian’s ruled surface
  • Umbrella surface
  • Cyclic surfaces (generalized torus)
  • Goursat surfaces
  • Cyclides triples
  • Ship Lamé
• Minimal surfaces
  • Helicoid
  • Bours minimal surface
  • Catalan minimal surface
  • Ennepers first minimal surface
  • Enneper second minimal surface
  • Hennebergs minimal surface
  • Scherk’s first minimal surface
  • Scherk’s second minimal surface
  • Richmond minimal surface
  • Generalized Ennneper surfaces
• Nonorientable (one-sided) Surfaces
  • Moebius Strip
  • Cross-Cap Surface
  • Pseudo Cross-Cap Surface
  • Roman Surface (or Steiner Surface)
  • Klein bagel
  • Klein bottle, version 3
  • Klein bottle, version 2
  • Klein bottle, version 1
  • 3D Boy Surface, version 1
  • 3D Boy Surface, version 2
  • Morin Surface
• Decorative parametric surfaces
  • Bourke Seashell
  • Seashell (mathworld.wolfram)
    • User.Seashell()
  • 3D Apple
    • User.Apple()
  • Bow curve
    • User.Bow()
  • Fish Surface
    • User.Fish3D()
  • Bourke Horn
    • User.BourkeHorn3D()
  • Hexa torus
    • User.HexaTorus3D()
  • 3D Breather Surface
    • User.Breather3D()
  • Kuen surface
    • User.Kuen3D()
  • Tranguloid trefoil
    • User.TranguloidTrefoil3D()
  • Triaxial teardrop
    • User.TriaxialTeardrop3D()
  • Gray Bottle
    • User.GrayBottle3D()
  • Surfaces mimicking snail shells
    • User.Snail1()