![]() But how do we interpret these images? In his introduction, Thomas Banchoff points out that there is no better way to begin exploring the problem of understanding higher-dimensional slicing phenomena than reading this classic novel of the Victorian era. In a two-dimensional universe populated by a hierarchical society of geometric figures, a square is persecuted for attempting to reveal its new knowledge of a third dimension, learned from encounters with a sphere. We can now manipulate objects in four dimensions and observe their three-dimensional slices tumbling on the computer screen. This field, which literally makes higher dimensions seeable, has aroused a new interest in visualization. ![]() By imagining the contact of beings from different dimensions, the author fully exploited the power of the analogy between the limitations of humans and those of his two-dimensional characters.Ī first-rate fictional guide to the concept of multiple dimensions of space, the book will also appeal to those who are interested in computer graphics. It quickly gained popularity as a science fiction story for the introduction of higher dimensions but also it is a satire criticising social inequality in Victorian Britain. Abbott was first published under the pseudonym of A. Since then Flatland has fascinated generations of readers, becoming a perennial science-fiction favorite. Flatland: A Romance of Many Dimensions by Edwin A. ![]() In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions. ![]()
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