An Episode of Flatland


Book Description







An Episode of Flatland; Or How a Plane Folk Discovered the Third Dimension; to Which Is Added an Outline of the History of Unaea ...


Book Description

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 edition. Excerpt: ... CHAPTER IV A DINNER PARTY The greatest luxury with which the Unaeans surrounded themselves in their dining-rooms and banquethalls was mirrors. From the exquisitely polished line surface of these mirrors on festal occasions came, obliquely reflected, the image of one participant to another, and the throbbing ingenuousness of the visa-vis conversations in which the Unaeans attained a conspicuous eminence spread itself like a delicate bouquet, spurring each by the reflected glimpses and half-heard tones of his neighbours to explore boldly the treasures his partner's conversation had for him. Cartwright cultivated the reputation of an ostentatious and omni-collective hospitality, for it enabled him to sound and test and understand so many diverse minds and take note of all the variant phases of Unaean opinions. It is therefore as good an occasion as any other for obtaining a glimpse of the manner and customs of Unaea if we observe the guests at one of Cartwright's banquets, the more so because with Laura's turn to seriousness, and the complaisance with which her lightest wishes were treated, we may succeed in eliciting something more than the graceful expression of elegant trifles from her companions. Let us take them at random, these men and women lapped in the arms of Unaean luxury, as they conversed with one another in this scene of light and flowers and radiant beauty. Sylvester Barr, making a low obeisance, handed Julia Castle to the seat opposite him, quoting from an old poem: "From the dying rose its soul has fled And blooms above, divinely red." "Why, my rose isn't a bit withered," said Julia, looking down at the flower in her corsage, pretending not to observe the allusion to the brilliant colouring of her complexion, in which...







Flatland


Book Description

A fully annotated edition of Abbott's classic Flatland, with notes and commentary putting it in its historical and mathematical context.




Flatland


Book Description

Flatland (1884) is an influential mathematical fantasy that simultaneously provides an introduction to non-Euclidean geometry and a satire on the Victorian class structure, issues of science and faith, and the role of women. A classic of early science fiction, the novel takes place in a world of two dimensions where all the characters are geometric shapes. The narrator, A Square, is a naïve, respectable citizen who is faced with proof of the existence of three dimensions when he is visited by a sphere and is forced to see the limitations of his world. The introduction to this Broadview Edition provides context for the book’s references to Victorian culture and religion, mathematical history, and the history of philosophy. The appendices contain contemporary reviews; extracts from the work of fellow mathematical fantasy writer/mathematician Charles Hinton; Hermann von Helmboltz’s “The Axioms of Geometry” (1870); and autobiographical passages from Abbott’s The Kernel and the Husk (1886).




The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition


Book Description

The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. 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 dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.




The Bookseller


Book Description







Mathematicians and Their Gods


Book Description

This is a book on the relationship between mathematics and religious beliefs. This book shows that, throughout scientific history, mathematics has been used to make sense of the 'big' questions of life, and that religious beliefs sometimes drove mathematicians to do mathematics to help them make sense of the world