This document proposes a new discipline called "notational engineering" within the field of semiotics. It discusses how the scope of semiotic studies has expanded over time to include any patterned communication system. Notational systems are described as having distinctive features and mapping abstraction spaces. The document argues that a systematic study of notational systems, their development, strengths, limitations, and applications could lead to breakthroughs in representing complex ideas and solving problems. It outlines the goals and next steps for establishing notational engineering as a new cross-disciplinary field.