Sine curves don't faintly resemble the conic projections, ellipse and
parabola except that they are all curves, which includes an infinite
family of exponentials, logarithmic, etc. etc.
Since wine bottles are basically cylinders, the family of conic
projections will fit them precisely. If you want some air space between
the bottle and rack, then almost anything should do. Those interested
should open a book on analytical geometry.
Bugs