Rendering is used in the preparation of drawings for engineers, designers and manufacturers, and in advertising and industry generally.

    

    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.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Paul. Now, in Once There Were Castles, he offers a richly illustrated look at another world of ghosts in our midst: the lost mansions and estates of the Twin Cities.Nobody can say for sure how many lost mansions haunt the Twin Cities, but at least five hundred can be accounted for in public records and archives. In Minneapolis and St. Paul, entire neighborhoods of luxurious homes have disappeared, virtually without a trace. Many grand estates that once spread out over hundreds of acres along the shores of Lake Minnetonka are also gone. The greatest of these lost houses often had astonishingly short lives: the lavish Charles Gates mansion in Minneapolis survived only nineteen years, and Norman Kittson’s sprawling castle on the site of the St. Paul Cathedral stood for barely more than two decades. Railroad and freeway building, commercial and institutional expansion, fires, and financial disasters all claimed their share of mansions; others succumbed to their own extravagance, becoming too costly to maintain once their original owners died.The stories of these grand houses are, above all else, the stories of those who built and lived in them—from the fantastic saga of Marion Savage to the continent-spanning conquests of James J. Hill, to the all-but-forgotten tragedy of Olaf Searle, a poor immigrant turned millionaire who found and lost a dream in the middle of Lake Minnetonka. These and many other mansion builders poured all their dreams, desires, and obsessions into extravagant homes designed to display wealth and solidify social status in a culture of ever-fluctuating class distinctions.The first book to take an in-depth look at the history of the Twin Cities’ mansions, Once There Were Castles presents ninety lost mansions and estates, organized by neighborhood and illustrated with photographs and drawings. An absorbing read for Twin Cities residents and a crucial addition to the body of work on the region’s history, Once There Were Castles brings these “ghost mansions” back to life.

    These images are awesome not just for their beauty alone, but because they suggest an order underlying their growth, a harmony existing in nature. What does it mean that such an order exists; how far does it extend? The Power of Limits was inspired by those simple discoveries of harmony. The author went on to investigate and measure hundreds of patterns—ancient and modern, minute and vast. His discovery, vividly illustrated here, is that certain proportions occur over and over again in all these forms. Patterns are also repeated in how things grow and are made—by the dynamic union of opposites—as demonstrated by the spirals that move in opposite directions in the growth of a plant. The joining of unity and diversity in the discipline of proportional limitations creates forms that are beautiful to us because they embody the principles of the cosmic order of which we are a part; conversely, the limitlessness of that order is revealed by the strictness of its forms. The author shows how we, as humans, are included in the universal harmony of form, and suggests that the union of complementary opposites may be a way to extend that harmony to the psychological and social realms as well.

    The book presents fundamental small-house design strategies, complete with whole-house case studies for homeowners eager to simplify. Creating a great small house is illustrated in the opening chapter with 10 approaches, including: borrowed view and daylight multipurpose spaces privacy pockets using quality materials Twenty-five stunning small houses are profiled in the second part of the book, organized by the nature of their locations.

    Harmony is central. There are two key aspects to the visual structure of Islamic design, calligraphy using Arabic script-one of the world's great calligraphic traditions-and abstract ornamentation using a varied but remarkably integrated visual language. This art of pure ornament revolves around two central themes; crystalline geometric patterns, the harmonic and symmetrical subdivision of the plane giving rise to intricately interwoven designs that speak of infinity and the omnipresent center; and idealized plant form, spiraling tendrils, leaves, buds and flowers embodying organic life and rhythm.1. WIDE APPEAL: Anyone interested in science, mathematics, design, architecture, and the natural world.2. AUTHORITATIVE: A compelling blend of scholarship and visual presentation, packs an enormous amount of information into a short space.3. BEAUTIFUL PACKAGE: A bargain at $10.00. Winner of First Prize for Nonfiction at the New York Book Show4. SERIES PURPOSE: All are aimed at bringing ancient wisdom forward into the 21st century.5. INSPIRING: The perfect entrée into a challenging topic; will inspire other reading.

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.

    The text provides a thorough, how-to explanation of each of the steps of the design process--from initial contact with the client to a completed master plan. The text's numerous illustrations and useful case study examples offer a rich learning experience for students. Whether you are just starting your design career or are a current practitioner, this valuable resource is sure to enhance your skills and knowledge.

    It is difficult for us now, even with all our engineering and architectural skills, to imagine the extraordinary ways these medieval houses of worship were constructed. Midway through the twelfth century, the building of cathedrals became a crusade to erect awe-inspiring churches across Europe. In their zeal, bishops, monks, masons, and workmen created the architectural style known as Gothic, arguably Christianity’s greatest contribution to the world’s art and architecture. The style evolved slowly and almost accidentally as medieval artisans combined ingenuity, inspiration, and brute strength to create a fitting monument to their God. Here are the dramatic stories of the building of Saint-Denis, Notre Dame, Chartres, Reims, and other Gothic cathedrals.

    Today, with many incredible house transformations under their toolbelt, they're a power trio turning neighbourhood ugly ducklings into swans.If you lust over images of beautiful homes but feel stuck when it comes to your own space, these 'birds' have your back. The book is packed with gorgeous details from their projects, friendly words of encouragement and more than 400 reno tips to help you avoid budget blow-outs, manage trades and timelines, and style without stress. Whether you're starting small or going all-in with a whole-home reno, this is destined to become one of the most useful books you own.Turn your reno dreams into reality!

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    The team behind the inspirational design sites Gardenista.com and Remodelista.com presents an all-in-one manual for making your outdoor space as welcoming as your living room. Tour personality-filled gardens around the world and re-create the looks with no-fail planting palettes. Find hundreds of design tips and easy DIYs, editors’ picks of 100 classic (and stylish) objects, a landscaping primer with tips from pros, over 200 resources, and so much more.