THE GEOMETRY OF ART AND LIFE

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The Geometry Of Art And Life

Author : Matila Costiescu Ghyka
ISBN : 0486235424
Genre : Mathematics
File Size : 88.72 MB
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This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.
Category: Mathematics

Facial Geometry

Author : Robert M. George
ISBN : 9780398077709
Genre : Science
File Size : 81.94 MB
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Forensic art may be defined as 'portrait art minus a tangible subject.' The main objective of this book is to present a series of practical indices interrelating the key features of the human face that will provide a foundation for any exercise in forensic art from composite sketch to post-mortem 're-facing.' These indices are illustrated with a survey of the numerous and often surprising geometric forms that permeate facial design. The various triangles and rectangles, rhomboids and trapezoids, parallelograms and circles that define the human face (the theme) and give it individuality (variations on the theme) are examined. The chapters provide necessary information to define the cephalometric points, planes, areas and lines that demarcate the human face, including the detailed surface anatomy of the eye, nose, mouth and ear. The underlying geometry of the human facial plan is revealed, illustrating a selection of triangles, rectangles, and other polygons. The graphic facial analysis (GFA) of the frontal face is covered, with sixteen indices and triangles defining and illustrating their means and ranges of variation. The GFA details the lateral face by means of eight angles and indices with special attention given to the nose and ear. With 45 illustrations and two tables in this clear and comprehensive text, this book leaves little to the imagination and is truly a unique treatise and source of information.
Category: Science

Art In The Life Of Mathematicians

Author : Anna Kepes Szemerédi
ISBN : 9781470419561
Genre : Mathematics
File Size : 60.54 MB
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Why are mathematicians drawn to art? How do they perceive it? What motivates them to pursue excellence in music or painting? Do they view their art as a conveyance for their mathematics or an escape from it? What are the similarities between mathematical talent and creativity and their artistic equivalents? What are the differences? Can a theatrical play or a visual image capture the beauty and excitement of mathematics? Some of the world's top mathematicians are also accomplished artists: musicians, photographers, painters, dancers, writers, filmmakers. In this volume, they share some of their work and reflect on the roles that mathematics and art have played in their lives. They write about creativity, communication, making connections, negotiating successes and failures, and navigating the vastly different professional worlds of art and mathematics.
Category: Mathematics

Cultivating Sacred Space

Author : Elizabeth Murray
ISBN : 0764903608
Genre : Gardening
File Size : 45.53 MB
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Linda Greenlaw hadn't been blue-water fishing for ten years, since the great events chronicled in The Perfect Storm and The Hungry Ocean, when an old friend offered her the captaincy on his boat, Seahawk, for a season of swordfishing. She took the bait, of course, and thus opened a new chapter in a life that had already seen enough adventure for three lifetimes.The Seahawk turns out to be the rustiest of buckets, with sprung, busted, and ancient equipment guaranteed to fail at any critical moment. Life is never dull out on the Grand Banks, and no one is better at capturing the flavor and details of the wild ride that is swordfishing, from the technical complexities of longline fishing and the nuances of reading the weather and waves to the sheer beauty of the open water. The trip is full of surprises, "a bit hardier and saltier than I had hoped for," but none more unexpected than when the boat's lines inadvertently drift across the Canadian border and she lands in jail. Seaworthy is about nature -- human and other; about learning what you can control and what you do when fate takes matters out of your control. It's about how a middle-aged woman who sets a high bar for herself copes with challenge and change and frustration, about the struggle to succeed or fail on your own terms, and above all, about learning how to find your true self when you're caught between land and sea.
Category: Gardening

Sacred Geometry For Artists Dreamers And Philosophers

Author : John Oscar Lieben
ISBN : 9781620557020
Genre : Body, Mind & Spirit
File Size : 58.19 MB
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An illustrated guide to harmonics--the sacred geometry principles that underlie the natural world--and its practical applications • Demonstrates how the vesica piscis is a matrix from which ideas and forms emanate, connecting cosmic time cycles, measures of space, and musical tones • Provides harmonic analyses of ancient sculpture, architecture, the solar system, the Earth-Moon relationship, and the structure of water and waves • Explains how to apply sacred geometry to create building floor plans, pottery figures, gardens, and sacred ceremonial spaces We are in the midst of a revival of an ancient way of looking at the world--an approach that enabled great civilizations of the past to bring forth inventions of great beauty and power. This school of thought--harmonics--envisioned the natural world and the solar system as an interlocking matrix of harmonious numbers, perfectly woven into the creative fabric of life and the surrounding universe. Exploring the art and science of harmonics, John Oscar Lieben shows how to create harmonious forms using the ancient tools of number, geometry, and musical tone--an approach that resonates with nature’s own ways of creation. He demonstrates many practical applications that result from the study of harmonics, providing analyses of ancient sculpture and architecture, as well as original examples of building floor plans, pottery figures based on planetary proportions, gardens based on harmonic principles, and ceremonial spaces that honor cosmic harmonies and sacred geometric relationships. Showing how harmonics can also be applied to the mysteries of time and space, the author demonstrates how the vesica piscis and many other variations of the vesica shape reveal numerical synchronicities and correspondences that connect cosmic time cycles, measures of space, and musical tones. The author applies harmonics and the “vesica construction” matrix to illustrate many of nature’s wonders, including the Earth-Moon relationship, the interactions of the Golden Number and the musical scale, and how the Flower of Life symbol connects the universal field with the pattern of raindrops falling on a pond. Offering an approach to sacred geometry that pairs the mystical with the practical, the cosmic with the earthly, the author reveals how the art and science of harmonics should be required study for both the artist and the seeker of eternal truths as well as the scientist who seeks an entrance into the sacred foundations of nature.
Category: Body, Mind & Spirit

Weaver Of Worlds

Author : David Jongeward
ISBN : 0892812702
Genre : Body, Mind & Spirit
File Size : 21.16 MB
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Describes how Carolyn Jongeward became a weaver, and discusses her use of sacred geometry, number symbolism, native American philosophy, and creation mythology in her work.
Category: Body, Mind & Spirit

Geometry Of Design

Author : Kimberly Elam
ISBN : 1568982496
Genre : Design
File Size : 39.29 MB
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This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.
Category: Design

The Drawings Of Heinrich Kley

Author : H. Kley
ISBN : 9780486136615
Genre : Art
File Size : 35.36 MB
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Irreverent, bizarre, whimsical, and mocking, these 200 pen-and-ink sketches date from the early 20th century. They blend savage humor with brilliant draughtsmanship in depictions of humans, animals, and curious combinations of the two.
Category: Art

A Short Account Of The History Of Mathematics

Author : W. W. Rouse Ball
ISBN : 9780486157849
Genre : Mathematics
File Size : 64.42 MB
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This standard text treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.
Category: Mathematics