ABSTRACT

In Edwin Abbott’s Abbot, E. A. book Flatland Flatland@Flatland , A Square’s A Square two-dimensional world happens to be embedded in a three-dimensional space. The climax of the book occurs when a sphere from this three-dimensional space comes to visit A Square and tells him about the world of three dimensions. Not surprisingly, A Square finds the sphere’s explanations completely unenlightening. So “the sphere, having in vain tried words, resorts to deeds.” He goes over to A Square’s locked cupboard, picks up a tablet, moves it over a little ways, and plunks it back down into the plane of Flatland (Figure 13.1(a) ).