Summary

There's a greatly improved version:
"Customizable Hith Joint (CSG version) (library)"
http://www.thingiverse.com/thing:397553
.
This is a trapezoidal Hirt-Joint generator.
usage:

• either use customizer
• or use it as a library:

hirth(
  period_number,
  flank_angle,
  base_hight,
  vertex_radius,
  [cutround_diameter|default=0...do_not_cut_round],
  [bore_radius|default=0...no_bore],
  [vertical_stretching_factor|default=1],
  [colormarked_vertices|default=false]);

note: vertical stretching changes flank angle
finishing & publishing motivated by:
http://www.thingiverse.com/thing:370976