In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    We all dance to these primary rhythms. This book reveals the poetic cosmology that lies within the cycles of the Sun and Moon as seen from the Earth.

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

    From blonde to ginger, the brown that changed the way battles were fought to the white that protected against the plague, Picasso's blue period to the charcoal on the cave walls at Lascaux, acid yellow to kelly green, and from scarlet women to imperial purple, these surprising stories run like a bright thread throughout history.In this book, Kassia St. Clair has turned her lifelong obsession with colors and where they come from (whether Van Gogh's chrome yellow sunflowers or punk's fluorescent pink) into a unique study of human civilization. Across fashion and politics, art and war, the secret lives of color tell the vivid story of our culture.

    Originally marked out by eye and later by use of a stretched cord, in time these forms came to be made with the simple tools of ruler and compass.This small book introduces the origins and basic principles of geometric constructions using these ancient tools, before going on to cover dozens of geometric forms, from practical fundamentals to more challenging constructions.

    Whether you were the king's court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you'd risk being caught short of food for the winter. Shesso's friendly tone and clear grasp of the information make the math "go down easy" in this marvelous book.BONUS: This book has over 100 illustrations! Click on the Google Preview link to get a glimpse.Excerpt from Math for Mystics: “It’s our collective malaise: Post-Traumatic Math Disorder.“Yet despite how we personally feel about mathematics, our distant ancestors willingly used numbers as pathways into the great patterns of Nature, avenues to understanding the Universe and their own place in it. Many ancient cultures had specific gods and goddesses they credited with inventing mathematical skills. With the aid of divine inspiration and assistance, humans nourished this numerical invention, continually pushing their skills and seeking greater clarity of expression. “Our starting point may seem like a Zero. But for now, before looking at numbers and math, let’s simply see it as a circle. No matter what our spiritual practice, we each live within the circle of creation, each within the circle—the cohesiveness—of our own form...” From John Michael Greer, Grand Archdruid, Ancient Order of Druids in America and author of The Druidry Handbook:“As thoughtful as it is readable, Renna Shesso’s Math for Mystics is the book I wish I had when I first started trying to make sense of the mathematics that underlie so much of modern magic and traditional occult lore. Not the least of its virtues is the way it makes magical number theory accessible even to those who think they don’t like or can’t handle math. It provides a first-rate introduction to a fairly neglected branch of magical lore.”

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    Harmonograph is an introduction to the evolution of simple harmonic theory, from the discoveries of Pythagoras to diatonic tuning and equal temperament. Beautiful drawings show the octave as triangle, the fifth as pentagram; diagrams show the principles of harmonics, overtones, and the monochord. Anthony Ashton examines the phenomenon of resonance in Chladni patterns, describes how to build a harmonograph of your own, and provides tables of world tuning systems. This inspiring book will appeal to musicians, mathematicians, designers, and artists alike.

    The ancient practitioners of this craft used traditional methods of measurement to create dazzling geometric compositions, often based on the repetition of a single pattern. The results are magnificent in their beauty and awe-inspiring in their execution. Now, with the aid of this book, everyone can learn how to master this ancient art and create their own intricate patterns or re-create classic examples. All one needs are a pencil, a ruler, a compass, and a steady hand. First, technical tips demonstrate the basics: how to draw a square, hexagon, or pentagon. This is followed by some of the best examples of geometric patterns from around the world, arranged into three levels of complexity, with careful, step-by-step instructions. The book features geometric patterns from some of the most famous and beautiful Islamic architecture and art, including: La Mezquita, Cordoba; Capella Palatina, Sicily; Mustansiriya Madrasa, Baghdad; Umayyad Mosque, Damascus; Mosque of al-Salih Tala'I, Cairo; The Koran of Rashid al-Din.

    Munari insisted that design be beautiful, functional and accessible, and this enlightening and highly entertaining book sets out his ideas about visual, graphic and industrial design and the role it plays in the objects we use everyday. Lamps, road signs, typography, posters, children's books, advertising, cars and chairs - these are just some of the subjects to which he turns his illuminating gaze.How do we see the world around us? The Penguin on Design series includes the works of creative thinkers whose writings on art, design and the media have changed our vision forever.Bruno Munari (1907-1998), born in Milan, was the enfant terrible of Italian art and design for most of the twentieth century, contributing to many fields of both visual (paint, sculpture, film, industrial design, graphics) and non-visual arts (literature, poetry). He was twice awarded the Compasso d'Oro design prize for excellence in his field.If you enjoyed Design as Art, you might like John Berger's Ways of Seeing, also available in Penguin Modern Classics.'One of the most influential designers of the twentieth century ... Munari has encouraged people to go beyond formal conventions and stereotypes by showing them how to widen their perceptual awareness'International Herald Tribune

    It is an inexhaustible mine of anecdotes, quotations, images, curious facts and useless information, oddities, serious science, jokes and memories, all concerned with the interplay between the verbal and the visual, and the limitless resources of the human mind. Loosely arranged in 72 chapters, all this material is presented in a wonderfully inventive series of pages that are themselves masterly demonstrations of the expressive use of type, space, color and imagery.This book does not set out to teach lessons, but it is full of wisdom and insight collected from all over the world. Describing himself as a visual jackdaw, master designer Alan Fletcher has distilled a lifetime of experience and reflection into a brilliantly witty and inimitable exploration of such subjects as perception, color, pattern, proportion, paradox, illusion, language, alphabets, words, letters, ideas, creativity, culture, style, aesthetics and value.The Art of Looking Sideways is the ultimate guide to visual awareness, a magical compilation that will entertain and inspire all those who enjoy the interplay between word and image, and who relish the odd and the unexpected.

    This XXL-format comprehensive survey is the most complete book ever made on the subject of this Italian painter, sculptor, architect, engineer, scientist and all-around genius. With huge, full-bleed details of Leonardo's masterworks, this highly original publication allows the reader to inspect the subtlest facets of his brushstrokes. * Part I explores Leonardo's life and work in ten chapters. All of his paintings are interpreted in depth, with The Annunciation and The Last Supper featured on large double-spreads. * Part II comprises a catalogue raisonn? of Leonardo's paintings, which covers all of his surviving and lost painted works and includes texts describing their states of preservation. * Part III contains an extensive catalogue of his drawings (numbering in the thousands, they cannot all be reproduced in one book); 663 are presented, arranged by category (architecture, technical, anatomical, figures, proportion, cartography, etc). This sumptuous TASCHEN offering is the most thorough and beautifully produced Leonardo book ever published, and this special edition offers it for a third of the usual price.

    Hockney’s extensive research led him to conclude that artists such as Caravaggio, Velázquez, da Vinci, and other hyperrealists actually used optics and lenses to create their masterpieces.In this passionate yet pithy book, Hockney takes readers on a journey of discovery as he builds a case that mirrors and lenses were used by the great masters to create their highly detailed and realistic paintings and drawings. Hundreds of the best-known and best-loved paintings are reproduced alongside his straightforward analysis. Hockney also includes his own photographs and drawings to illustrate techniques used to capture such accurate likenesses. Extracts from historical and modern documents and correspondence with experts from around the world further illuminate this thought-provoking book that will forever change how the world looks at art.Secret Knowledge will open your eyes to how we perceive the world and how we choose to represent it.

    But maps need not just show continents and oceans: there are maps to heaven and hell; to happiness and despair; maps of moods, matrimony, and mythological places. There are maps to popular culture, from Gulliver's Island to Gilligan's Island. There are speculative maps of the world before it was known, and maps to secret places known only to the mapmaker. Artists' maps show another kind of uncharted realm: the imagination. What all these maps have in common is their creators' willingness to venture beyond the boundaries of geography or convention.You Are Here is a wide-ranging collection of such superbly inventive maps. These are charts of places you're not expected to find, but a voyage you take in your mind: an exploration of the ideal country estate from a dog's perspective; a guide to buried treasure on Skeleton Island; a trip down the road to success; or the world as imagined by an inmate of a mental institution. With over 100 maps from artists, cartographers, and explorers, You are Here gives the reader a breath-taking view of worlds, both real and imaginary.