Geomorphs: Broken Accordeon

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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) = 5 + u


  • and are parameters with values 1.0 and 1.2, respectively, in this graph. The ratio / determines how deformed the accordeon looks. If / = 1 then there is no deformation (the accordeon is like its parent, the cochlea).
  • is a parameter ranging from 0 to 2 with a step of /20, giving the 40 frames shown here
  • is a parameter with value 1.76 for this graph.
  • u ranges from -4.5 to 6, 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, is alpha, is beta, is gamma, is delta, and is pi.

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