Explore the solution to the problem of showing that a general quadrilateral is the perspective image of a square in this 28-minute mathematics lecture. Delve into the key concept of obtaining a point of perspectivity, examine the important connection between circles and perpendicularity, and consider a subtle additional question that brings this problem into the realm of pure mathematics. Learn about the paper "The Image of a Square" by A. Crannell, M. Frantz, and F. Futamura, and gain insights into geometry, perpendicularity, and perspective imaging. Discover how this problem relates to broader mathematical concepts and challenges in the field.