Enhanced descriptions from Syndetics:

Beyond The Third Dimension investigates ways of picturing and understanding dimensions below and above our own. Ranging from Egyptian pyramids to the nineteenth-century satire Flatland to the paintings of Salvador Dali.

Reviews provided by Syndetics

CHOICE Review

Banchoff conveys a clear understanding of topics in mathematics and science that relate to the study of higher dimensions. He writes at a level that makes the subject matter comprehensible to any person with a basic knowledge of algebra and geometry. Banchoff has been a leader in the study of higher dimensions for many years, and in this book, he shows how the use of computer graphics allows the visualization of these previously visually inaccessible spaces. He introduces the ideas of dimension and perspective in a skillful presentation of one- and two-dimensional worlds before embarking into discussions of the world of higher dimensions. He also explains how geometers, scientists, philosophers, and artists have explored higher dimensions through metaphor and analogy. The book is extremely well written and printed on excellent paper. It contains numerous color illustrations, all of very good quality, and has a good list of references. General readers. -V. B. Anand, Clemson University