Geomorphs: Broken Accordeon

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Definition of surface, in parametric equations:

x(u,v) = v cos(á u + ã)
y(u,v) = - v sin(â u + ã)
z(u,v) = 5 + ä u

where:

  • á and â are parameters with values 1.0 and 1.2, respectively, in this graph. The ratio á/â determines how deformed the accordeon looks. If á/â = 1 then there is no deformation (the accordeon is like its parent, the cochlea).
  • ã is a parameter ranging from 0 to 2ð with a step of ð/20, giving the 40 frames shown here
  • ä is a parameter with value 1.76 for this graph.
  • u ranges from -4.5ð to 6ð, resulting in the specific number of folds of the accordeon
  • v ranges from -8 to 8, defining the diameter of the virtual vertical cylinder within which the accordeon lies.

Ancestor: Cochlea.

Descendants: Chess Queen.


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, â is beta, ã is gamma, ä is delta, and ð is pi.

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