Package definition system with non-symmetric functional elements as a function of package edge property

A package generation system, comprising:

• a cutting device;
• a processor;
• a data storage facility containing a package design file comprising a two-dimensional representation of a three-dimensional structure having a plurality of facets, wherein the package design file comprises rules that:
• define a plurality of cut lines, each cut line representing a line along which the three-dimensional structure will be separated from a two dimensional substrate;
• identify a plurality of facets that are functional elements of the structure;
• identify a pair of the functional elements that have a connecting relationship, wherein the first facet of the pair comprises a tab structure having a symmetric design and the second facet of the pair comprises a receiving structure, wherein the symmetric design comprises edges of the tab structure that are symmetric with respect to a central axis of the tab structure;
• determine that the tab structure and receiving structure are each connected to cut lines that intersect each other at a pivot point;
• convert a definition of the tab structure from the symmetric design to a non-symmetric design that includes edges of the tab structure that are not symmetric with respect to the central axis of the tab structure;
• and
• save dimensions for the defined cut lines and the pair of functional elements to the package design file so that the definition of the tab structure includes the non-symmetric design;
• and
• programming instructions that are configured to cause the processor and cutting device to access the package design file to apply a set of rules that apply the cut lines to the substrate.