Geomorphs: Broken Accordeon

x(u,v) = v cos(α u + γ)
y(u,v) = - v sin(β u + γ)
z(u,v) = 5 + δ u

where:

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