This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels-in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.

Dorothy Wrinch, a complicated and ultimately tragic figure, is remembered today for her much publicized feud with Linus Pauling over the shape of proteins, known as "the cyclol controversy." Pauling emerged victorious and is now seen as one of the 20th century's greatest scientists. History has proven less kind to Wrinch. Although some of Wrinch's theories did not pass the test of time, her contributions to the fields of Darwinism, probability and statistics, quantum mechanics, x-ray diffraction, and computer science were anything but inconsequential. Wrinch's story is also the story of the science of crystals and the ever-changing notion of symmetry fundamental to that science. Drawing on her own personal relationship with Wrinch as well as the papers archived at Smith College and elsewhere, Marjorie Senechal explores the life of this brilliant and controversial figure in I Died for Beauty. This biography provides a coherent biographical narration, a detailed account of the cyclol controversy, and a personal memoir of the author's relationship with Wrinch. Senechal presents a sympathetic portrait of the life and science of a luminous but tragically flawed character.

This text brings together the many strands of contemporary research in quasicrystal geometry and weaves them into a coherent whole. The author describes the historical and scientific context of this work, and carefully explains what has been proved and what is conjectured. This, together with a bibliography of over 250 references, provides a background for further study. The discovery in 1984 of crystals with forbidden symmetry posed fascinating and challenging problems in many fields of mathematics, as well as in the solid state sciences. Increasingly, mathematicians and physicists are becoming intrigued by the quasicrystal phenomenon, and the result has been an exponential growth in the literature on the geometry of diffraction patterns, the behaviour of the Fibonacci and other nonperiodic sequences, and the fascinating properties of the Penrose tilings and their many relatives. In this monograph, Marjorie Senechal gives us insight into what happened when established ideas had to be re-examined, modified or overturned.

Cultures of Science