Flatland - a romance of many dimensions A Square lives in a world without height. He knows lines, triangles, squares, and circles, but cannot imagine a third spatial direction. One day, a Sphere visits. As the Sphere passes through Flatland, the Square sees a circle appear, expand, contract, and disappear. Edwin Abbott turns this simple geometric observation into a way of thinking about dimensions beyond our own. The book also criticizes rigid class distinctions and the treatment of women in Victorian society, making it much more than an introduction to geometry.