Geometry And The Visual Arts

Author : Daniel Pedoe
Publisher : Courier Corporation
ISBN 13 : 9780486244587
Total Pages : 338 pages
Book Rating : 4.8X/5 ( download)

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Download or read book Geometry and the Visual Arts written by Daniel Pedoe and published by Courier Corporation. This book was released on 1983-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists and scientists. It also surveys projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.

Author :
Publisher :
ISBN 13 : 9789991504711
Total Pages : pages
Book Rating : 4.10/5 ( download)

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Download or read book Geometry and the Visual Arts written by and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William M. Ivins
Publisher : Courier Corporation
ISBN 13 : 0486143589
Total Pages : 130 pages
Book Rating : 4.83/5 ( download)

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Download or read book Art and Geometry written by William M. Ivins and published by Courier Corporation. This book was released on 2012-10-16 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.

Author : Marc Frantz
Publisher : Princeton University Press
ISBN 13 : 9781400839056
Total Pages : 248 pages
Book Rating : 4.5X/5 ( download)

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Download or read book Viewpoints written by Marc Frantz and published by Princeton University Press. This book was released on 2011-07-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)

Author : Ruth Scheps
Publisher : John Wiley & Sons
ISBN 13 : 1786306816
Total Pages : 194 pages
Book Rating : 4.14/5 ( download)

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Download or read book Mathematics in the Visual Arts written by Ruth Scheps and published by John Wiley & Sons. This book was released on 2021-02-17 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Art and science are not separate universes. This book explores this claim by showing how mathematics, geometry and numerical approaches contribute to the construction of works of art. This applies not only to modern visual artists but also to important artists of the past. To illustrate this, this book studies Leonardo da Vinci, who was both an engineer and a painter, and whose paintings can be perfectly modeled using simple geometric curves. The world gains intelligibility through elegant mathematical frameworks – from the projective spaces of painting to the most complex phase spaces of theoretical physics. A living example of this interdisciplinarity would be the sculptures of Jean Letourneur, a specialist in both chaos sciences and carving, as evidenced in his stonework. This book also exemplifies the geometry and life of forms through contemporary works of art – including fractal art – which have never before been represented in this type of work.

Author : Kirsti Andersen
Publisher : Springer Science & Business Media
ISBN 13 : 0387489460
Total Pages : 837 pages
Book Rating : 4.69/5 ( download)

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Download or read book The Geometry of an Art written by Kirsti Andersen and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.

Author : Eli Maor
Publisher : Princeton University Press
ISBN 13 : 0691175888
Total Pages : 206 pages
Book Rating : 4.81/5 ( download)

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Download or read book Beautiful Geometry written by Eli Maor and published by Princeton University Press. This book was released on 2017-04-11 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

Author : John Oscar Lieben
Publisher : Simon and Schuster
ISBN 13 : 1620557029
Total Pages : 256 pages
Book Rating : 4.20/5 ( download)

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Download or read book Sacred Geometry for Artists, Dreamers, and Philosophers written by John Oscar Lieben and published by Simon and Schuster. This book was released on 2018-08-28 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author :
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.55/5 ( download)

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Download or read book Mathematics and Visual Arts written by and published by . This book was released on 1997 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher : BRILL
ISBN 13 : 9004315209
Total Pages : 382 pages
Book Rating : 4.04/5 ( download)

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Download or read book The Arts of Ornamental Geometry written by and published by BRILL. This book was released on 2017-08-28 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collective study focuses on a unique anonymous medieval document on ornamental geometry featuring geometrical constructions and textual instructions in Persian. Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and Wheeler M. Thackston. The chapters interpreting this fascinating document are followed, for the first time, by a facsimile, transcription, and translation, as well as drawings of incised construction lines invisible in the photographed facsimile. This publication intersects with the current interest in Islamic geometrical patterning as an inspiration for tessellation and parametrically derived forms in contemporary architecture and the arts. It aims to make this celebrated source more accessible, given its multifaceted relevance to historians of art, architecture, and science, as well as mathematicians, physicists, artists, and architects. For those who wish to obtain a copy of the full, unedited original book manuscript of Alpay Özdural, where he discusses the mathematical properties of all geometrical constructions in the Anonymous Compendium as well as the step-by-step method for drawing each one, his work is available online at https://doi.org/10.6084/m9.figshare.5255416