Geometry For The Artist

Author : Catherine A. Gorini
Publisher : CRC Press
Page : 255 pages
File Size : 54,6 Mb
Release : 2023-05-26
Category : Mathematics
ISBN : 9781000876390

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Geometry for the Artist by Catherine A. Gorini Pdf

Geometry for the Artist is based on a course of the same name which started in the 1980s at Maharishi International University. It is aimed both at artists willing to dive deeper into geometry and at mathematicians open to learning about applications of mathematics in art. The book includes topics such as perspective, symmetry, topology, fractals, curves, surfaces, and more. A key part of the book’s approach is the analysis of art from a geometric point of view—looking at examples of how artists use each new topic. In addition, exercises encourage students to experiment in their own work with the new ideas presented in each chapter. This book is an exceptional resource for students in a general-education mathematics course or teacher-education geometry course, and since many assignments involve writing about art, this text is ideal for a writing-intensive course. Moreover, this book will be enjoyed by anyone with an interest in connections between mathematics and art. Features Abundant examples of artwork displayed in full color Suitable as a textbook for a general-education mathematics course or teacher-education geometry course Designed to be enjoyed by both artists and mathematicians

Author : John Oscar Lieben
Publisher : Simon and Schuster
Page : 256 pages
File Size : 41,5 Mb
Release : 2018-08-28
Category : Body, Mind & Spirit
ISBN : 9781620557020

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Sacred Geometry for Artists, Dreamers, and Philosophers by John Oscar Lieben Pdf

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 : Matila Costiescu Ghyka
Publisher : Courier Corporation
Page : 212 pages
File Size : 51,5 Mb
Release : 1977-01-01
Category : Mathematics
ISBN : 0486235424

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The Geometry of Art and Life by Matila Costiescu Ghyka Pdf

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.

Author : Kirsti Andersen
Publisher : Springer Science & Business Media
Page : 837 pages
File Size : 47,5 Mb
Release : 2008-11-23
Category : Mathematics
ISBN : 9780387489469

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The Geometry of an Art by Kirsti Andersen Pdf

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 : John Milner
Publisher : Yale University Press
Page : 258 pages
File Size : 54,6 Mb
Release : 1996-01-01
Category : Art
ISBN : 0300064179

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Kazimir Malevich and the Art of Geometry by John Milner Pdf

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Author : Marc Frantz,Annalisa Crannell
Publisher : Princeton University Press
Page : 248 pages
File Size : 54,5 Mb
Release : 2011-07-05
Category : Mathematics
ISBN : 140083905X

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Viewpoints by Marc Frantz,Annalisa Crannell Pdf

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 : William M. Ivins
Publisher : Courier Dover Publications
Page : 0 pages
File Size : 44,9 Mb
Release : 1900
Category : Art, Greek
ISBN : 0486209415

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Art and Geometry by William M. Ivins Pdf

Author : Eli Maor,Eugen Jost
Publisher : Princeton University Press
Page : 206 pages
File Size : 43,8 Mb
Release : 2017-04-11
Category : Art
ISBN : 9780691175881

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Beautiful Geometry by Eli Maor,Eugen Jost Pdf

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 : Charles Bouleau
Publisher : Courier Corporation
Page : 276 pages
File Size : 46,9 Mb
Release : 2014-07-01
Category : Art
ISBN : 9780486795508

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The Painter's Secret Geometry by Charles Bouleau Pdf

Richly illustrated examination of Western visual arts shows how great masters and modern painters employed the "golden mean" and other geometrical patterns. Cult classic and essential guide for art history students.

Author : Anonim
Publisher : Skira Editore
Page : 128 pages
File Size : 46,8 Mb
Release : 2019-06-18
Category : Art
ISBN : 8857240169

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Geometry and Art by Anonim Pdf

A comprehensive survey on Islamic geometry in modern and contemporary art. In a groundbreaking volume about the use of Islamic geometry in modern and contemporary art from the region, Middle East art expert and Sothebys Deputy Chairman Roxane Zand, and Dr Sussan Babaie professor of Islamic arts at the Courtauld Institute of Art of the University of London, explore ways in which traditional geometric legacies are applied and interpreted in new contexts. Dr Babaie's scholarly essay traces the significance of geometry in the history of Islamic arts, looking at the emergence of modernisms of the Middle East through the prism of selected works by twenty artists and their multidisciplinary practices. Their works underscore the distinctive ways geometry, a universal heritage, has inspired the art of the region. Lavishly illustrated and bound, the book is aimed at both the general user and those with academic interest.

Author : Ruth Scheps,Marie-Christine Maurel
Publisher : John Wiley & Sons
Page : 194 pages
File Size : 42,7 Mb
Release : 2020-12-09
Category : Art
ISBN : 9781119802082

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Mathematics in the Visual Arts by Ruth Scheps,Marie-Christine Maurel Pdf

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 : Robert M. George
Publisher : Charles C Thomas Publisher
Page : 98 pages
File Size : 41,6 Mb
Release : 2007
Category : Medical
ISBN : 9780398077709

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Facial Geometry by Robert M. George Pdf

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.

Author : William M. Ivins
Publisher : Courier Corporation
Page : 130 pages
File Size : 52,6 Mb
Release : 2012-10-16
Category : Art
ISBN : 9780486143583

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Art and Geometry by William M. Ivins Pdf

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 : Lynn Gamwell
Publisher : Princeton University Press
Page : 576 pages
File Size : 51,6 Mb
Release : 2016
Category : Art
ISBN : 9780691165288

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Mathematics and Art by Lynn Gamwell Pdf

This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

Author : Fukagawa Hidetoshi,Tony Rothman
Publisher : Princeton University Press
Page : 392 pages
File Size : 52,9 Mb
Release : 2021-08-10
Category : Mathematics
ISBN : 9781400829712

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Sacred Mathematics by Fukagawa Hidetoshi,Tony Rothman Pdf

Between the seventeenth and nineteenth centuries Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life--samurai, farmers, and merchants--inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing--and incredibly beautiful--mathematical tradition. Fukagawa Hidetoshi and Tony Rothman present for the first time in English excerpts from the travel diary of a nineteenth-century Japanese mathematician, Yamaguchi Kanzan, who journeyed on foot throughout Japan to collect temple geometry problems. The authors set this fascinating travel narrative--and almost everything else that is known about temple geometry--within the broader cultural and historical context of the period. They explain the sacred and devotional aspects of sangaku, and reveal how Japanese folk mathematicians discovered many well-known theorems independently of mathematicians in the West--and in some cases much earlier. The book is generously illustrated with photographs of the tablets and stunning artwork of the period. Then there are the geometry problems themselves, nearly two hundred of them, fully illustrated and ranging from the utterly simple to the virtually impossible. Solutions for most are provided. A unique book in every respect, Sacred Mathematics demonstrates how mathematical thinking can vary by culture yet transcend cultural and geographic boundaries.