Wpf: Parametric surfaces

Parametric curves and surfaces

• Surfaces of translation
  • Fermat spiral as generator
  • Lemniscate as generator
  • Tanh spiral as generator
  • Rose curve as generator
  • Hypocycloid as generator
  • Epicycloid as generator
• Surfaces of revolution
  • One-Sheeted Hyperboloid
  • Sphere
  • Prolate Spheroid
  • Oblate Spheroid
  • Drop surface
  • Egg surface
  • Apple surface
  • Spinning top
  • Pseudosphere
  • Wave sphere Surface
  • Torus
  • Horn Torus
  • Spindle Torus
  • Elliptic Torus
• Generalisations of common surfaces
  • Ellipsoid
  • Superellipsoid
  • Hexaedron
  • Super Toroid
  • Elliptic Helicoid
  • Hyperbolic Helicoid
  • Lemniscate
  • 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
  • Catenoid
  • 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
  • 3D Boy Surface, version 1
  • 3D Boy Surface, version 2
  • Morin Surface
• Decorative parametric surfaces
  • Bourke Seashell
  • Seashell (mathworld.wolfram)
  • 3D Apple
  • Bow curve
  • Fish Surface
  • Bourke Horn
  • Hexa torus
  • 3D Breather Surface
  • Kuen surface
  • Tranguloid trefoil
  • Triaxial teardrop
  • Gray Bottle
  • Surfaces mimicking snail shells