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Author: Daniel Pedoe
Publisher: Courier Corporation
Published: 1983-01-01
Total Pages: 338
ISBN-13: 9780486244587
DOWNLOAD EBOOKThis 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: William M. Ivins
Publisher: Courier Corporation
Published: 2012-10-16
Total Pages: 130
ISBN-13: 0486143589
DOWNLOAD EBOOKThis 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
Published: 2011-07-05
Total Pages: 259
ISBN-13: 140083905X
DOWNLOAD EBOOKAn 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
Published: 2021-02-17
Total Pages: 194
ISBN-13: 1786306816
DOWNLOAD EBOOKArt 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
Published: 2008-11-23
Total Pages: 837
ISBN-13: 0387489460
DOWNLOAD EBOOKThis 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: John Oscar Lieben
Publisher: Simon and Schuster
Published: 2018-08-28
Total Pages: 538
ISBN-13: 1620557029
DOWNLOAD EBOOKAn 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.
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Publisher: BRILL
Published: 2017-08-28
Total Pages: 382
ISBN-13: 9004315209
DOWNLOAD EBOOKThis 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
Author: Kimberly Elam
Publisher: Princeton Architectural Press
Published: 2001
Total Pages: 130
ISBN-13: 9781568982496
DOWNLOAD EBOOKThis 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.
Author: Paulus Gerdes
Publisher: Africa Research and Publications
Published: 1998
Total Pages: 264
ISBN-13:
DOWNLOAD EBOOKThe main objective of the book is to call attention to some mathematical ideas incorporated in the patterns invented by women in Southern Africa. An appreciation of these mathematical traditions may lead to their preservation, revival and development. Use of female art traditional forms has implications in the field of mathematics education.
Author: Noam Andrews
Publisher: National Geographic Books
Published: 2022-05-03
Total Pages: 0
ISBN-13: 0262046644
DOWNLOAD EBOOKA history of the relationship between art and geometry in the early modern period. In The Polyhedrists, Noam Andrews unfolds a history of the relationship between art and geometry in early modern Europe, told largely through a collective of ground-breaking artisan-artists (among them, Luca Pacioli, Albrecht Dürer, Wenzel Jamnitzer, and Lorentz Stöer) and by detailed analysis of a rich visual panoply of their work, featuring paintings, prints, decorative arts, cabinetry, and lavishly illustrated treatises. But this is also an art history of the polyhedra themselves, emblems of an evolving artistic intelligence, which include a varied set of geometrical figures—both Platonic, or regular, like the simple tetrahedron, and Archimedean, or irregular, like the complex yet beguiling rhombicosidodecahedron. Moreover, The Polyhedrists argues that the geometrical depictions of Dürer, Jamnitzer et al. were far more than mere follies from the dawn of perspective, at odds with a contemporary view of the Renaissance, and destined to be superseded by later developments in higher level mathematics. In fact, the evolution of the solids into innumerable “irregular bodies” constituted a sustained moment in the formulation of Renaissance mathematical knowledge and its engagement with materiality. This intense field of experimentation would birth a new language of geometrical abstraction that would ignite a century of novel form-making strategies, ultimately paving the way for developments in geometry and topology in the nineteenth and early twentieth centuries, and even prefiguring the more recent digital turn. The book, in this sense, is not just an applied history of geometry, nor a particular geometric reading of early modern art through some of its more celebrated practitioners, but a manifesto of sorts into the hitherto unexplored wilds of art and science.
