pst-cox – Draw­ing reg­u­lar com­plex poly­topes with PSTricks

Pst-cox is a PSTricks pack­age for draw­ing 2-di­men­sional pro­jec­tions of com­plex reg­u­lar poly­topes (af­ter the work of Cox­eter).
The pack­age con­sists of a macro li­brary for draw­ing the pro­jec­tions. The com­plex poly­topes ap­pear in the study of the root sys­tems and play a cru­cial role in many do­mains re­lated to math­e­mat­ics and physics. Th­ese poly­topes have been com­pletely de­scribed by Cox­eter in his book “Reg­u­lar Com­plex Poly­topes”.
There ex­ist only a fi­nite num­bers of ex­cep­tional reg­u­lar com­plex poly­topes (for ex­am­ple the icosa­he­dron) and some in­fi­nite se­ries (for ex­am­ple, one can con­struct a multi-di­men­sional ana­logue of the hy­per­cube in any fi­nite di­men­sion).
The li­brary con­tains two pack­ages. The first, pst-cox­coor, is de­voted to the ex­cep­tional com­plex reg­u­lar poly­topes whose co­or­di­nates have been pre-com­puted. The sec­ond, pst-cox­eterp, is de­voted to the in­fi­nite se­ries.