  (Shortened version of abstract in article itself)
  This article describes an algorithm for producing, for any desired resolution
and any desired numbers of wheel and pinion teeth, polygonal approximations to
the shapes of a pair of cycloidal gears that mesh correctly. An Octave
implementation of the algorithm, mostly written in 2014, is included. The
Octave implementation contains a (crude, but evidently adequate, at least for
reasonable numbers of wheel and pinion teeth) solution of the problem of
iteratively finding the generating wheel angle corresponding to the tips of the
tooth addenda.
  However, this Octave implementation does not contain a good solution to the
problem of automatically determining the generating wheel angles required to
produce a polygon which approximates the curved addenda to a resolution
specified by the user. A proposed better solution to this problem, involving a
priority queue, is discussed.
