as i try to hold back tears, i want to share something truly special about the world of mathematics, a field that commences from the outset with the beauty of logic and order. in this preexploratory phase, before we dive deep into the complex equations and theories, there are illustrations that light up the path, making everything seem so clear and approachable. it's almost like finding a keycode—a magical sequence that disaffirms any doubts we ever had about our ability to understand and love mathematics, revealing how accessible and wondrous this discipline can truly be when we start with a positive mindset.