  There are many structures, both classical and modern, involving convex
polygonal geometries whose deeper understanding would be facilitated through
interactive visualizations. The Ipe extensible drawing editor, developed by
Otfried Cheong, is a widely used software system for generating geometric
figures. One of its features is the capability to extend its functionality
through programs called Ipelets. In this media submission, we showcase a
collection of new Ipelets that construct a variety of geometric objects based
on polygonal geometries. These include Macbeath regions, metric balls in the
forward and reverse Funk distance, metric balls in the Hilbert metric, polar
bodies, the minimum enclosing ball of a point set, and minimum spanning trees
in both the Funk and Hilbert metrics. We also include a number of utilities on
convex polygons, including union, intersection, subtraction, and Minkowski sum
(previously implemented as a CGAL Ipelet). All of our Ipelets are programmed in
Lua and are freely available.
