This text collates Stan Allen's writings and projects that propose architectural strategies for the contemporary city. It presents speculative texts outlining Allen's general principles with specific projects created by his office in an interplay of theory and practice. Projects include: the Cardiff Bay Opera House, Wales; the Korean-American Museum of Art, Los Angeles; the Museo del Prado, Madrid; and White Columns Gallery, New York. Each project is accompanied by explanatory text as well as drawings, models, photographs and computer renderings.

"A senior official in a ministry trained with scandal. A dining car receipt. A name missing from a passenger list. And a young man and woman dead on a beach in an apparent suicide. Disconnected points, but not to a determined detective who keeps searching for the lines that link the living and the dead."--Page 4 Cover

This is the only book on the topic of geometric configurations of points and lines. It presents in detail the history of the topic, with its surges and declines since its beginning in 1876. It covers all the advances in the field since the revival of interest in geometric configurations some 20 years ago. The author's contributions are central to this revival. In particular, he initiated the study of 4-configurations (that is, those that contain four points on each line, and four lines through each point); the results are fully described in the text. The main novelty in the approach to all geometric configurations is the concentration on their symmetries, which make it possible to deal with configurations of rather large sizes. The book brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as entice them to try their hand at expanding it.

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence geometries and their automorphism groups. These tools could be useful in shortening the enormously lengthy classification of finite simple groups. Similarly, recognizing ruled manifolds by axioms on light trajectories offers a way for a physicist to recognize the action of a Lie group in a context where it is not clear what Hamiltonians or Casimir operators are involved. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appeal to outside results. Several chapters have new heretofore unpublished research results. On the other hand, certain groups of chapters would make good graduate courses. All but one chapter provide exercises for either use in such a course, or to elicit new research directions.

Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

In a rocky cove in the bay of Hakata, the bodies of a young and beautiful couple are discovered. Stood in the coast's wind and cold, the police see nothing to investigate- the flush of the couple's cheeks speaks clearly of cyanide, of a lovers' suicide. But in the eyes of two men, Torigai Jutaro, a senior detective, and Kiichi Mihara, a young gun from Tokyo, something is not quite right. Together, they begin to pick at the knot of a unique and calculated crime... Now widely available in English for the first time, Tokyo Express is celebrated around the world as Seicho Matsumoto's masterpiece - and as one of the most fiendish puzzles ever written.

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

This book is an English translation of a text written by Constantin Mihalescu, a retired artillery colonel and enthusiastic amateur mathematician. With the majority of the results obtained in the second half of the 19th century and the first half of the 20th century, this book was one of the most complete descriptions of geometry of its time. It contains a comprehensive collection of the most important properties of points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s, and a rich assortment of problems to entice and inspire readers of all levels. Topics covered include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and much more.

This book offers a philosophical exploration of lines in art and culture, and traces their history from Antiquity onwards. Lines can be physical phenomena, cognitive responses to observed processes, or both at the same time. Based on this assumption, the book describes the “philosophy of lines” in art, architecture, and science. The book compares Western and Eastern traditions. It examines lines in the works of Paul Klee, Wassily Kandinsky, and Henri Michaux, as well as in Chinese and Japanese art and calligraphy. Lines are not merely a matter of aesthetics but also reflect the psychological states of entire cultures. In the nineteenth century, non-Euclidean geometry sparked the phenomenon of the “self-negating line,” which influenced modern art; it also prepared the ground for virtual reality. Straight lines, distorted lines, blurred lines, hot and cold lines, dynamic lines, lines of force, virtual lines, and on and on, lines narrate the development of human civilization.