To develop our first-of-its-kind graphics engine, we first had to define a set of instructions that could be fed to the program and transformed into a complete bracket figure, as well as a format in which these instructions could be saved and retrieved for future editing. For this tool to be useful, providing the instructions must be faster and simpler than drawing a bracket by traditional means. After assessing the variety of brackets in literature, we determined that the essential elements of a bracket figure are as follows: