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"With wry humor and penetrating satire, Flatland takes us on a mind-expanding journey into a different world to give us a new vision of our own. A. Square, the slightly befuddled narrator, is born into a place limited to two dimensions -- irrevocably flat -- and peopled by a hierarchy of geometrical forms. In a Gulliver-like tour of his bizarre homeland, A. Square spins a fascinating tale of domestic drama and political turmoil, from sex among consenting...
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String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. Here, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where...
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In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception - the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space - were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher...
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