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. Since then Flatland has fascinated generations of
readers, becoming a perennial science-fiction favorite. 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.
A 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. This field, which literally makes higher
dimensions seeable, has aroused a new interest in visualization. We
can now manipulate objects in four dimensions and observe their
three-dimensional slices tumbling on the computer screen. 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.
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