"I work to overcome visual illiteracy and mathematics anxiety" Arthur L. Loeb, Harvard University Towards this goal, the author of "Concepts and Images" has for more than twenty years presented his seminar workshop for visual mathematics at the Carpenter Center for the Visual Arts. He has inspired his students to experiment with particular patterns, leading inductively to more general fundamental principles, then to an understanding and appreciation of the concept of "design science" and thence to freedom from the visual illiteracy that affects our man-made environment and its relation to our natural ecology. The book is designed as a workbook, rich with easily traceable illustrations that have been designed, not to demonstrate computer graphics or technical drafting skills, but for the average reader with traditional tools -- straight edges, triangles, compasses, and a French curve. It stimulates readers to find correct answers by posing for them the right questions in the search for understanding of abstract concepts. "Concepts and Images" is for anyone dealing with the properties of space, be it mathematically abstract, physically present in nature, or created for a built environment. It will be useful in many general courses in mathematics, physics, chemistry, biology, and engineering as well as in some specific studies such as crystallography, art and architecture, city planning and urban design, mineralogy, metallurgy, and others. It truly represents: The Link Between Science and Art.
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First Sentence:
Just as the grammar of music consists of harmony, counterpoint and form (sonata, rondo, etc.) which describe the structure of a composition and poetry has its rondeau, ballad, virelai and sonnet, so spatial structures, whether crystalline, architectural or choreographic, have their grammar, which consists of such parameters as symmetry, proportion, connectivity, valency, stability. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
golden fraction, nested golden triangles, other rotocenter, golden gnomon, golden supplement, golden parallelogram, glide line, tessellate the plane, rectangular tessellation, adjacent meshes, glide symmetry, hexagonal tessellation, lattice complex, symmetry value, mirror line, previous string, translational symmetry, symmetry configuration, dynamic symmetry, golden rectangle, having symmetry, logarithmic spiral, rotational symmetry, primitive unit cell Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Buckminster Fuller, Congruent Pentagons New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Just as the grammar of music consists of harmony, counterpoint and form (sonata, rondo, etc.) which describe the structure of a composition and poetry has its rondeau, ballad, virelai and sonnet, so spatial structures, whether crystalline, architectural or choreographic, have their grammar, which consists of such parameters as symmetry, proportion, connectivity, valency, stability. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
golden fraction, nested golden triangles, other rotocenter, golden gnomon, golden supplement, golden parallelogram, glide line, tessellate the plane, rectangular tessellation, adjacent meshes, glide symmetry, hexagonal tessellation, lattice complex, symmetry value, mirror line, previous string, translational symmetry, symmetry configuration, dynamic symmetry, golden rectangle, having symmetry, logarithmic spiral, rotational symmetry, primitive unit cell Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Buckminster Fuller, Congruent Pentagons New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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- Spiral Symmetry by Istvan Hargittai on 4 pages
- Space Structures (Design Science Collection) by A. Loeb on 4 pages
- On Aesthetics in Science (Design Science Collection) by WECHSLER in Front Matter, page 5, and Back Matter
- Color and Symmetry by Arthur L. Loeb in Front Matter, Back Matter (1), and Back Matter (2)
- Islamic Architecture (History of World Architecture) by John D. Hoag on page 27, and Back Matter
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