The Dot and the Line: A Romance in Lower Mathematics (ISBN 1-58717-066-3) is a book written and illustrated by Norton Juster, first published by Random House in 1963. The title is an obvious reference to Flatland: A Romance of Many Dimensions by Edwin Abbott Abbott.
In 1965, famed animator Chuck Jones and the MGM Animation/Visual Arts studio adapted The Dot and the Line into a 10-minute animated short film for Metro-Goldwyn-Mayer, narrated by Robert Morley. The Dot and the Line won the 1965 Academy Award for Animated Short Film.
This is the anguished tale of a sensible straight line who falls in love with a dot. The dot, however, finding the line stiff, dull, and conventional, turns her affections toward a wild and unkempt squiggle. Though dejected, the line was not without determination, and, after much concentration, managed to bend himself, giving rise to shapes so complex he had to letter his sides and angles to keep his place. Before long he was able to express himself in any shape he wished, from helices to spider webs to Paul Klee's little jester. Overwhelmed by the line's geometric contortionistic prowess, the dot realized that what she had seen in the squiggle to be freedom and joy was nothing more than chaos and sloth.