A com­pu­ta­tion­al approach for the gen­er­a­tion of all under­ly­ing struc­tures of three-dimen­sion­al shapes with an n‑fold sym­me­try axis is briefly dis­cussed and an auto­mat­ed envi­ron­ment for the com­plete gen­er­a­tion of all par­tial lat­tices of three-dimen­sion­al shapes with an n‑fold sym­me­try axis is pre­sent­ed in the end.