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)

where:

  • 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.


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