Geomorphs: Chess Queen

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Definition of surface, in parametric equations:

x(u,v) = v cos(u)
y(u,v) = v sin(u)
z(u,v) = á u - u v / 2

where:

  • á is a parameter ranging from 0 to 4.4 with a step of 0.2, giving the 44 frames shown here
  • u ranges from -4.5ð to 6ð, resulting in the specific number of folds of the surface
  • v ranges from 0 to 9, defining the diameter of the virtual vertical cylinder within which the surface lies.

Ancestor: Broken Accordeon

Descendants: None yet.


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. To help you decipher this page, á is alpha, and ð is pi.

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