Geomorphs: Drop

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Definition of surface, in parametric equations:

x(u,v) = cos(v) cos(u)
y(u,v) = sin(v) cos(u)
z(u,v) = sin(u - a)


  • u ranges from -/2 to /2, scanning a half circle from the pointed tip at top to the rounded end-point at bottom.
  • v ranges from 0 to 2, scanning a full circle on the XY-plane.
  • a is a parameter ranging from 0 to 2 with a step of /32, giving the 64 frames shown here. When a = 0 the drop is reduced to its ancestor, the sphere.

Ancestor: Sphere.

Descendants: Castanuela.

Note: If you do not see Greek characters on this page, it is probably because the font you are currently using with your browser does not include the Greek code-page. In this page, character is pi.

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