Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical experiments, he leads with ease from simple principles to a grasp of the logarithmic spiral, the Golden Proportion, the squaring of the circle and other ubiquitous ratios and proportions.Art and Imagination: These large-format, gloriously-illustrated paperbacks cover Eastern and Western religion and philosophy, including myth and magic, alchemy and astrology. The distinguished authors bring a wealth of knowledge, visionary thinking and accessible writing to each intriguing subject.

    The Architecture of Happiness starts from the idea that where we are heavily influences who we can be, and it argues that it is architecture's task to stand as an eloquent reminder of our full potential.Whereas many architects are wary of openly discussing the word beauty, this book has at its center the large and naïve question: What is a beautiful building? It is a tour through the philosophy and psychology of architecture that aims to change the way we think about our homes, our streets and ourselves.

    "It can be exhilarating, appealing, inspiring, chilling. It is never viewed with indifference: beauty demands to be noticed; it speaks to us directly like the voice of an intimate friend." In a book that is itself beautifully written, renowned philosopher Roger Scruton explores this timeless concept, asking what makes an object--either in art, in nature, or the human form--beautiful. This compact volume is filled with insight and Scruton has something interesting and original to say on almost every page. Can there be dangerous beauties, corrupting beauties, and immoral beauties? Perhaps so. The prose of Flaubert, the imagery of Baudelaire, the harmonies of Wagner, Scruton points out, have all been accused of immorality, by those who believe that they paint wickedness in alluring colors. Is it right to say there is more beauty in a classical temple than a concrete office block, more beauty in a Rembrandt than in an Andy Warhol Campbell Soup Can? Can we even say, of certain works of art, that they are too beautiful: that they ravish when they should disturb. But while we may argue about what is or is not beautiful, Scruton insists that beauty is a real and universal value, one anchored in our rational nature, and that the sense of beauty has an indispensable part to play in shaping the human world. Forthright and thought-provoking, and as accessible as it is stimulating, this fascinating meditation on beauty draws conclusions that some may find controversial, but, as Scruton shows, help us to find greater meaning in the beautiful objects that fill our lives.

    Describes the principles of wabi-sabi, a Japanese aesthetic associated with Japanese tea ceremonies and based on the belief that true beauty comes from imperfection and incompletion, through text and photographs.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    Poetry, patterns like Pascal's triangle, philosophy, psychology, music, and dozens of simple mathematical figures are enlisted to show that the "divine proportion" or "golden ratio" is a feature of geometry and analysis which awakes answering echoes in the human psyche. When we judge a work of art aesthetically satisfying, according to his formulation, we are making it conform to a pattern whose outline is laid down in simple geometrical figures; and it is the analysis of these figures which forms the core of Professor Huntley's book.For the philosopher, scientist, poet, art historian, music listener, artist, as well as the general reader who wants to understand more about the fascinating properties of numbers, this is a beautifully written, exciting account of the search for a naturally manifested aesthetic that has occupied man since he first asked the question "why?""This is a delightful book to read. . . . It wanders here and there through some of the most attractive byways of simple mathematics, returning always to the oddities and pleasures of the golden section. This is a browser's book — a happy, untidy traveling or bedside book for those who know how to enjoy the charm of numbers and shapes." — Dr. J. Bronowski, The Salk Institute.

    First published in 1972, it was based on the BBC television series about which the (London) Sunday Times critic commented: "This is an eye-opener in more ways than one: by concentrating on how we look at paintings . . . he will almost certainly change the way you look at pictures." By now he has."Berger has the ability to cut right through the mystification of the professional art critics . . . He is a liberator of images: and once we have allowed the paintings to work on us directly, we are in a much better position to make a meaningful evaluation" —Peter Fuller, Arts Review"The influence of the series and the book . . . was enormous . . . It opened up for general attention to areas of cultural study that are now commonplace" —Geoff Dyer in Ways of TellingWinner of the 1972 Booker Prize for his novel, G., John Peter Berger (born November 5th, 1926) is an art critic, painter and author of many novels including A Painter of Our Time, From A to X and Bento’s Sketchbook.

    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

    What is beauty? Umberto Eco, among Italy’s finest and most important contemporary thinkers, explores the nature, the meaning, and the very history of the idea of beauty in Western culture. The profound and subtle text is lavishly illustrated with abundant examples of sublime painting and sculpture and lengthy quotations from writers and philosophers. This is the first paperback edition of History of Beauty, making this intellectual and philosophical journey with one of the world’s most acclaimed thinkers available in a more compact and affordable format.From the Trade Paperback edition

    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Escher was born in 1898 in Leeuwarden (Netherlands). He received his first drawing lessons during secondary school from F.W. van der Haagen, who also taught him the block printing, thus fostering Escher's innate graphic talents. From 1912 to 1922 he studied at the School of Architecture and Ornamental Design in Haarlem, where he was instructed in graphic techniques by S. Jessurun de Mesquita, who greatly influenced Escher's further artistic development. Between 1922 and 1934 the artist lived and worked in Italy. Afterwards Escher spent two years in Switzerland and five in Brussels before finally moving back to Barn in Holland, where he died in 1972. M.C. Escher is not a surrealist drawing us into his dream world, but an architect of perfectly impossible worlds who presents the structurally unthinkable as though it were a law of nature. The resulting dimensional and perspectival illusions bring us into confrontation with the limitations of our sensory perception. About the Series: Each book in TASCHEN's Basic Art series features:a detailed chronological summary of the life and oeuvre of the artist, covering his or her cultural and historical importance a concise biography approximately 100 illustrations with explanatory captions

    Conceived as a handbook and teaching aid for artists, instructors, and students, this timeless book presents Albers’s unique ideas of color experimentation in a way that is valuable to specialists as well as to a larger audience.Originally published by Yale University Press in 1963 as a limited silkscreen edition with 150 color plates, Interaction of Color first appeared in paperback in 1971, featuring ten representative color studies chosen by Albers. The paperback has remained in print ever since and is one of the most influential resources on color for countless readers.This new paperback edition presents a significantly expanded selection of more than thirty color studies alongside Albers’s original unabridged text, demonstrating such principles as color relativity, intensity, and temperature; vibrating and vanishing boundaries; and the illusions of transparency and reversed grounds. Now available in a larger format and with enhanced production values, this expanded edition celebrates the unique authority of Albers’s contribution to color theory and brings the artist’s iconic study to an eager new generation of readers.

    She tells us how great painters fool the brain: why Mona Lisa's smile seems so mysterious, Monet's Poppy Field appears to sway in the breeze, Mondrian's Broadway Boogie Woogie blinks like the lights of Times Square, and Warhol's Electric Chair pulses with current.Drawing on history and her own cutting-edge discoveries, Livingstone offers intriguing insights, from explanations of common optical illusions to speculations on the correlation of learning disabilities with artistic skill. Her lucid, accessible theories are illustrated throughout with fine art and clear diagrams.In his foreword, Nobel Prize-winner Hubel posits that neurobiology will enhance the art of the future just as anatomy did in centuries past. That future begins with this fascinating book.

    It seeks to answer a simple question: why is there such a thing as style? The question may be simple but there is no easy answer, and Professor Gombrich's brilliant and wide-ranging exploration of the history and psychology of pictorial representation leads him into countless crucial areas. Gombrich examines, questions and re-evaluates old and new ideas on such matters as the imitation of nature, the function of tradition, the problem of abstraction, the validity of perspective and the interpretation of expression: all of which reveal that pictorial representation is far from being a straightforward matter. First published more than 40 years ago, Art and Illusion has lost none of its vitality and importance. In applying the findings of experimental science to a nuanced understanding of art and in tackling complex ideas and theoretical issues, Gombrich is rigorous.Yet he always retains a sense of wonder at the inexhaustible capacity of the human brain, and at the subtlety of the relationships involved in seeing the world and in making and seeing art. With profound knowledge and his exceptional gift for clear exposition, he advances each argument as an hypothesis to be tested. The problems of representation are forever fundamental to the history of art: Art and Illusion remains an essential text for anyone interested in understanding the complexities of art. For the sixth edition Professor Gombrich has written an entirely new 12-page preface, in which he makes use of the distinction between an image and a sign, so as to clarify his intentions in writing the book in the first place.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.